Fatigue strength and stress concentration factors of CHS-to-RHS T-joints

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朋友圈每天一句想你的唯美英文晚安说说

朋友圈每天一句想你的唯美英文晚安说说

朋友圈每天一句想你的唯美英文晚安说说朋友圈每天一句想你的唯美英文晚安说说(精选篇1)有一颗大心,才盛得下喜怒,输得出力量。

晚安!Only when you have a big heart can you win the joy and anger and lose the strength. good night!我不相信永远的爱,因为我只会一天比一天更爱你。

晚安!I dont believe in eternal love, because I will only love you more and more day by day. good night!持平常心,做本分事,活在当下,乐对未来。

晚安。

Keep your mind level, do your job, live in the present and enjoy the future. good night.我的微笑可以给任何人,但我的心只能给一个人。

晚安!My smile can be given to anyone, but my heart can only be given to one person. good night!有些路很远,走下去会很累。

可是,不走,会后悔。

晚安。

Some roads are far away, and it will be very tiring to walk on. However, if you dont leave, you will regret it. good night.世界上所有的惊喜和好运,都是你累积的温柔和善良。

晚安。

All the surprises and good luck in the world are your accumulated gentleness and kindness. good night.你要努力变优秀,让自己能担得起任何人的喜欢。

晚安。

当我们感到压力时英文作文

当我们感到压力时英文作文

当我们感到压力时英文作文Feeling stressed is a universal experience that we all encounter at some point in our lives. Whether it's due to academic pressure, work deadlines, relationship issues, or other life challenges, stress can have a significant impact on our well-being. In this essay, we'll explore the causes and effects of stress and discuss strategies for coping with it.First and foremost, it's essential to understand the various factors that can contribute to stress. One common source of stress is excessive workload or academic demands. For students, the pressure to excel in exams, complete assignments on time, and juggle extracurricular activities can quickly become overwhelming. Similarly, professionals may experience stress due to heavy workloads, tight deadlines, or job insecurity.Apart from work or academic-related stress, personal issues can also take a toll on our mental health.Relationship problems, family conflicts, financial difficulties, and health concerns are just a few examples of stressors that many people face in their daily lives. Additionally, external factors such as societal expectations, peer pressure, and the constant barrage of information from the media can contribute to feelings of anxiety and stress.The effects of stress can manifest in various ways, both physically and mentally. Physically, stress can lead to symptoms such as headaches, muscle tension, fatigue, and sleep disturbances. Prolonged exposure to stress may also weaken the immune system, making individuals more susceptible to illnesses. On a mental and emotional level, stress can cause feelings of irritability, anxiety, depression, and a sense of being overwhelmed. It can also impair cognitive function, making it difficult to concentrate, make decisions, or solve problems effectively.Given the detrimental effects of stress on our well-being, it's crucial to develop healthy coping mechanisms to manage it effectively. One strategy is to practicerelaxation techniques such as deep breathing, meditation, or yoga. These activities can help calm the mind, reduce muscle tension, and promote a sense of inner peace and tranquility.Another important aspect of stress management is maintaining a healthy lifestyle. This includes getting regular exercise, eating a balanced diet, getting an adequate amount of sleep, and avoiding unhealthy coping mechanisms such as excessive alcohol consumption or substance abuse. Engaging in activities that bring joy and fulfillment, such as spending time with loved ones, pursuing hobbies, or volunteering, can also help alleviate stress and foster a sense of well-being.Furthermore, it's essential to cultivate strong social support networks. Talking to friends, family members, or a trusted therapist about our feelings can provide emotional validation, perspective, and practical advice for coping with stress. Building meaningful connections and fostering supportive relationships can buffer the negative effects of stress and enhance resilience in the face of adversity.In conclusion, stress is an inevitable part of life, but it's how we respond to it that matters. By understanding the causes and effects of stress and adopting healthy coping strategies, we can better manage its impact on our lives and promote overall well-being. Remember, it's okay to seek help when needed, and taking proactive steps to care for our mental health is essential for leading a fulfilling and balanced life.。

Truck Models for Improved Fatigue Life Predictions

Truck Models for Improved Fatigue Life Predictions

Truck Models for Improved Fatigue Life Predictionsof Steel BridgesPiya Chotickai 1and Mark D.Bowman 2Abstract:A new fatigue load model has been developed based on weigh-in-motion ͑WIM ͒data collected from three different sites in Indiana.The recorded truck traffic was simulated over analytical bridge models to investigate moment range responses of bridge structures under truck traffic loadings.The bridge models included simple and two equally continuous spans.Based on Miner’s hypothesis,fatigue damage accumulations were computed for details at various locations on the bridge models and compared with the damage predicted for the 240-kN ͑54-kip ͒American Association of State Highway and Transportation Officials ͑AASHTO ͒fatigue truck,a modified AASHTO fatigue truck with an equivalent effective gross weight,and other fatigue truck models.The results indicate that fatigue damage can be notably overestimated in short-span girders.Accordingly,two new fatigue trucks are developed in the present study.A new three-axle fatigue truck can be used to represent truck traffic on typical highways,while a four-axle fatigue truck can better represent truck traffic on heavy duty highways with a significant percentage of the fatigue damage dominated by eight-to 11-axle trucks.DOI:10.1061/͑ASCE ͒1084-0702͑2006͒11:1͑71͒CE Database subject headings:Cyclic loads;Fatigue life;Damage;Trucks;Bridges,steel;Predictions .IntroductionSteel bridge structures are normally subjected to numerous repeated cyclic stresses due to truck traffic.The damage accumu-lation caused by these cyclic stresses can initiate cracks and lead to the fatigue failure of a bridge member.To evaluate the cyclic performance of bridge structures,the fatigue resistance of the critical detail and a suitable cyclic load model are both needed.The stress-life approach in the American Association of State Highway and Transportation Officials ͑AASHTO ͒load and resistance factor ͑LRFD ͒specifications AASHTO ͑1998͒is generally used in bridge applications to estimate the fatigue resistance.It utilizes a family of S -N curves to represent fatigue strength levels corresponding to various categories of fatigue details commonly used in the design and construction of steel bridge structures.These S -N curves were developed based on experimental research programs conducted through the auspices of the National Cooperative Highway Research Program ͑NCHRP ͒.The cyclic load model is also an important parameter in a fatigue evaluation.Based on Miner’s hypothesis ͑Miner 1945͒,an effective stress range is generally used to relate the variable amplitude fatigue behavior to a constant amplitude fatiguebehavior ͑Fisher et al.1998͒.The effective stress range can be obtained from a couple of alternatives,namely spectrum analysis using strain gage data and structural analysis using a suitable fatigue truck.For the first alternative,the effective stress range can be determined from a root-mean-cube ͑RMC ͒value of the stress range spectrum obtained by decomposing a complex stress ͑strain ͒history with a suitable cycle counting procedure.This alternative tends to provide an accurate estimate of the actual bridge response under routine truck traffic;however,significant time and expense are required to acquire and evaluate the data.For the fatigue truck analysis,the effective stress range is computed from a structural analysis of a suitable bridge model with an applied load given in terms of an equivalent fatigue truck.An attractive feature of the method is that it can be conveniently used to determine an effective stress range occurring in bridge structures.Accuracy in an estimated value of the effective stress range is,obviously,dependent upon the configuration of the fatigue truck.Ideally,the fatigue truck configuration should be selected so that it will cause the same fatigue damage as actual truck traffic for a given equivalent number of passages.Truck traffic loadings are composed of a variety of axle weights,axle spacings,and gross vehicle weights of the truck population and can vary dramatically from site to site.Therefore,to accurately estimate the fatigue damage accumulation caused by random or variable truck loadings,it is essential to incorporate information on truck traffic characteristics at an investigated site into the fatigue calculation.Current available fatigue truck models are reviewed in this paper.Weigh-in-motion ͑WIM ͒data collected from three sites in Indiana were investigated and used as applied loads on analytical bridge models.Fatigue damage accumulations were computed based on Miner’s hypothesis for the truck traffic profile con-structed using the WIM data.These damage accumulations were then compared with the fatigue damage predicted by the current available fatigue trucks and used as a basis in developing a new design of the fatigue trucks.1Graduate Research Assistant,School of Civil Engineering,Purdue Univ.,550Stadium Mall Dr.,West Lafayette,IN 47907-2051.E-mail:pchotick@ 2Professor of Civil Engineering,School of Civil Engineering,Purdue Univ.,550Stadium Mall Dr.,West Lafayette,IN 47907-2051͑corresponding author ͒.E-mail:bowmanmd@Note.Discussion open until June 1,2006.Separate discussions must be submitted for individual papers.To extend the closing date by one month,a written request must be filed with the ASCE Managing Editor.The manuscript for this paper was submitted for review and possible publication on June 28,2004;approved on October 14,2004.This paper is part of the Journal of Bridge Engineering ,V ol.11,No.1,January 1,2006.©ASCE,ISSN 1084-0702/2006/1-71–80/$25.00.JOURNAL OF BRIDGE ENGINEERING ©ASCE /JANUARY/FEBRUARY 2006/71D o w n l o a d e d f r o m a s c e l i b r a r y .o r g b y S o u t h e a s t U n i v e r s i t y o n 11/28/14. C o p y r i g h t A S CE .F o r p e r s o n a l u s e o n l y ; a l l r i g h t s r e s e r v e d .Available Fatigue Truck ModelsA fatigue truck is typically used to represent truck traffic at a given site with a variety of gross weights and axle configurations.The fatigue truck models provided in the AASHTO fatigue guide specifications ͑AASHTO 1990͒and those proposed by Laman and Nowak ͑1996͒were examined in the present study.The AASHTO fatigue guide specifications ͑AASHTO 1990͒provide a single fatigue truck that can be used for the fatigue evaluation.The AASHTO fatigue truck was developed based on a truck configuration proposed by Schilling and Klippstein ͑1978͒.However,instead of using a 222-kN ͑50-kip ͒gross weight as proposed for the Schilling fatigue truck,the AASHTO guide specifications ͑AASHTO 1990͒stipulate a 240-kN ͑54-kip ͒gross weight of the fatigue truck for the fatigue strength evaluation.This gross vehicle weight represents the actual truck traffic spectrum obtained from WIM studies ͑Synder et al.1985͒,including more than 27,000trucks and 30sites nationwide.Its configuration was approximated based on the axle weight ratios and axle spacings of four-and five-axle trucks,which dominated a high percentage of the fatigue damage in typical bridges.The AASHTO fatigue truck has front and rear axle spacings of 4.27m ͑14ft ͒and 9.14m ͑30ft ͒,respectively,with a 1.83-m ͑6-ft ͒axle width,as shown in Fig.1.However,when a gross weight distribution at an investigated site is available,an effective gross weight determined from Eq.͑1͒can be used to modify the gross weight of the AASHTO fatigue truckW eq =͚͑f iW i3͒1ր3͑1͒where f i ϭfrequency of occurrence of trucks with a gross vehicle weight of W i .This effective weight must be distributed to each axle in the same proportion as noted Fig.1.By using this modi-fication,it is anticipated that a more accurate estimate of the fatigue damage accumulation can be obtained for a given man and Nowak ͑1996͒developed a fatigue load model based on WIM measurements at five steel bridge structures.The effective gross weights at these structures were in a range of 278to 347kN ͑62.4to 78.1kips ͒.A simulation technique was utilized to investigate moment range responses caused by actual traffic flow over analytical simple-beam bridge models.By using the S -N line approach and Miner’s rule,it was found that a high percentage of the fatigue damage in the monitored structures was dominated by 10-and 11-axle trucks.In addition,based on simulation results and an analysis of the WIM data,Laman and Nowak ͑1996͒proposed two new fatigue trucks ͑see Fig.2͒.The three-axle fatigue truck was suggested to be representative oftwo-to nine-axle trucks,while the four-axle truck was suggested for the 10-and 11-axle trucks.The damage accumulation caused by passages of these fatigue trucks is equivalent to the fatigue damage caused by the corresponding truck spectrum with an equivalent number of passages.It was demonstrated that for the WIM database developed in the study,these two fatigue trucks could provide a relatively accurate estimate of the fatigue damage accumulation over a range of bridge spans.Weigh-in-Motion DatabaseWIM sensors have been extensively used in recent years by highway and bridge engineers to monitor truck traffic.A WIM system can be used to measure vehicle gross weights,axle weights,and axle spacings of the actual truck traffic.Typically,the WIM sensor,such as a load cell or a piezoelectric strip,is installed directly in the roadway and is relatively unobtrusive.Consequently,an advantage of the technology is that it can be operated without being detected by roadway users.As a result,unlike static weigh stations that tend to be avoided by heavy trucks,unbiased truck traffic data can be obtained ͑Moses et al.1987͒.The WIM data collected from three different sites in Indiana were included in a WIM database in the present study.Piezo-electric sensors were used for the WIM system at these three sites.A view of the WIM for one site is shown in Fig.3.The WIM sites were selected to represent a variety of truck traffic characteristics that practicing engineers might encounter when performing a fatigue evaluation of bridge structures.Statistics of the WIM data were examined to evaluate the truck traffic characteristic at these sites.Table 1summarizes the assigned nomenclature,site descrip-tion,recording period,number of sampled trucks,and effective gross weight of the WIM database.The highest and lowest effective gross weights of 327kN ͑73.5kips ͒and 188kN ͑42.3kips ͒were observed at Stations 001and 410,respectively.Meanwhile,an effective gross weight at Station 520was found to be 254kN ͑57kips ͒.These effective gross weights,computed using Eq.͑1͒,demonstrate the site-specific characteristic of truck traffic loadings,and they illustrate that the effective weight can be considerably different from the 240-kN ͑54-kip ͒gross weight of the standard AASHTO fatigue truck.Station 001is located on U.S.Route 20along the heavy-duty corridor in northwest Indiana.The corridor provides an important route for steel producers and other manufacturers totransportFig.1.AASHTO fatigue truck ͑AASHTO 1990͒72/JOURNAL OF BRIDGE ENGINEERING ©ASCE /JANUARY/FEBRUARY 2006D o w n l o a d e d f r o m a s c e l i b r a r y .o r g b y S o u t h e a s t U n i v e r s i t y o n 11/28/14. C o p y r i g h t A S CE .F o r p e r s o n a l u s e o n l y ; a l l r i g h t s r e s e r v e d .cargos between northwest Indiana and the state of Michigan.With a special permit,the legal weight limit of trucks using this route is 596kN ͑134kips ͒,which is much heavier than the 356-kN ͑80-kip ͒legal limit for typical interstate and state highways.A common truck type traveling along this route is a multitrailer,multiaxle vehicle ͑see Fig.4͒.The eastbound truck traffic data collected at Station 001in January 2002included a sample of 22,992trucks.A percentage distribution of trucks classified by the number of axles is provided in Table 2.It was found that approximately 45%of the truck traffic was five-axle trucks,while eight-to 11-axle trucks accounted for 14%of the total truck traffic.A gross weight distribution of the truck traffic recorded at this station is shown in Fig.5͑a ͒.The maximum gross weight was found to be as high as 961kN ͑216kips ͒.The second WIM site,referred to as Station 410,is located on I-65in northwestern Indiana.The 4-day southbound truck traffic data collected in August 2002included a sample of 21,856trucks.The gross weight distribution is presented in Fig.5͑b ͒.A maximum gross weight of 455kN ͑102.3kips ͒was observed.The majority of truck traffic at this site are five-axle trucks,with approximately 84%of the total truckpopulation.man and Nowak fatigue trucks ͑Laman and Nowak 1996͒Fig.3.WIM sensors and control loops at Station 001D o w n l o a d e d f r o m a s c e l i b r a r y .o r g b y S o u t h e a s t U n i v e r s i t y o n 11/28/14. C o p y r i g h t A S CE .F o r p e r s o n a l u s e o n l y ; a l l r i g h t s r e s e r v e d .The third WIM site referred as Station 520is located on U.S.Route 50in southeastern Indiana.The eastbound truck traffic data collected in May 2002included a sample of 16,696trucks.Fig.5͑c ͒shows a gross weight distribution of the recorded truck traffic.The maximum recorded gross weight was found to be 713kN ͑160.3kips ͒.The highest percentage of truck traffic at this station was dominated by two-axle trucks,approximately 47%of the total truck traffic.Moreover,only 0.25%of the truck traffic had more than five axles.Analysis Results of WIM DatabaseThe Palmgren–Miner’s hypothesis is one of the most widely used fatigue damage accumulation models.It assumes a linear damage accumulation and neglects sequence and mean stress effects.Therefore,the fatigue damage of each cycle in a stress history is independent.Based on Miner’s rule,the accumulated fatigue damage ͑D ͒is equal to the summation of the damage caused by each stress cycle,as shown in Eq.͑2͒D =͚i =1k⌬D i =͚i =1kn i N i͑2͒where N i and n i ϭfatigue resistance and the number of cyclesof the i th stress range,respectively.The stress history in bridge girders for each truck passage is complex due to a composition of static and dynamic responses.By utilizing the rainflow counting method ͑Committee on Fatigue and Fracture Reliability 1982͒,the stress history can be decomposed into primary and higher order stress ranges.The primary stress range is the maximum stress range in the stress history while the remaining reversals are the higher-orderstress ranges.Schilling ͑1984͒demonstrated that the fatigue damage accumulation of the complex stress cycles caused by an individual truck passage can be represented by the fatigue damage of the primary or maximum stress range with an equivalent number of cycles ͑N e ͒determined fromN e =1+ͩS r 1S rpͪm+ͩS r 2S rpͪm¯+ͩS riS rpͪm͑3͒where m ϭslope constant of the S -N line;S rp ϭmaximum stressrange;and S ri ϭhigher order stress range.The slop constant ͑m ͒is approximately equal to 3for all AASHTO fatigue category details ͑Keating and Fisher 1986͒.Although Eq.͑3͒is expressed in terms of stress ranges,it can also be calculated from moment ranges for linear elastic behavior based on the assumption that they are proportional.By using the concept of an equivalent number of cycles and Miner’s rule,the fatigue damage accumulation caused by each truck passage can be written as:D =͚1N i =N e S rp 310b͑4͒where N i ϭfatigue strength ͑cycles ͒corresponding to each stress range in a stress history;and b ϭintercept of S -N line for the detail being evaluated.A computer program was developed to simulate the actual truck traffic flow over analytical bridge models,including a simple-span and a two-span structure with equal span lengths.The simulated bridge spans ranged from 9to 37m ͑30to 120ft ͒with a 3.05-m ͑10-ft ͒increment.The WIM database developed for the three bridge sites was used for the input loading.Static moment ranges were monitored at the middle span of the simpleTable 1.Site Description Station Description ͑location ͒Monitored direction Period ͑start–end ͒Number of sampled trucksW eq ͑kN ͒001U.S.Route 20,Michigan City,Ind.Eastbound 1/1/02–1/31/0222,992327410I-65,Rensselaer,Ind.Southbound 8/1/02–8/4/0221,856188520U.S.Route 50,Versailles,Ind.Eastbound5/1/02–5/31/0216,696254Fig.4.Multiaxle truck on heavy-duty highwayD o w n l o a d e d f r o m a s c e l i b r a r y .o r g b y S o u t h e a s t U n i v e r s i t y o n 11/28/14. C o p y r i g h t A S CE .F o r p e r s o n a l u s e o n l y ; a l l r i g h t s r e s e r v e d .beam,the middle support of the continuous beam,and the middle span of the continuous beam.The moment cycles caused by each truck passage were decomposed using a rainflow counting method.The maximum moment range and equivalent number of cycles for each truck passage were then determined.This procedure was applied to all trucks in the WIM database.A sample of the simulation results is provided in Tables 3–5.The maximum moment range and effective moment range in 9-,18-,and 37-m ͑30-,60-,and 120-ft ͒bridge spans are included in the tables.The maximum moment range is the single greatest moment difference caused by the trucks within the loading spectrum,while the effective moment range is the effective weighted moment difference caused by the truck load spectrum.The latter value is given byM re =͚͑f iMr i3͒1ր3͑5͒where f i ϭfrequency of trucks within a particular moment range,Mr i .The results indicated that among the recorded truck traffic data,Station 001had the highest effective moment ranges in all spans,followed by Stations 520and 410,respectively.This is consistent with an order of the effective gross weights observed at these three stations.An average of the equivalent numbers of cycles per passage of all trucks is presented in Fig.6for the three sites.This quantity was determined by taking the average of the values computed using Eq.͑3͒for each truck passage at the three sites.It is evident that the average number of cycles per truck passage at the middle span of the simple beam and the continuous beam approaches one when the span length exceeds 15m ͑50ft ͒.However,the average number of cycles at the middle support of continuous beams increases in spans above 12m ͑40ft ͒.The results also indicate that Station 520had a higher average number of cycles per passage at the middle support of the continuous beam than Station 410.This is because Station 520had a high percentage of two-and three-axle trucks,which tend to cause a higher equivalent number of cycles in long spans than trucks with a greater number of axles.On the other hand,Station 410had a somewhat higher average number of cycles at midspan of the simple beam and the continuous beam than Station 520.The primary reason for the difference is that five-axle trucks,the majority truck type at Station 410,tend to cause a greater number of cycles than two-and three-axle trucks at the middle span of short beam members.By employing Eq.͑4͒,the percent fatigue damage accumula-tion caused by each truck type was computed.Fig.7presents the percent fatigue damage caused by two-and three-axle,four-,and five-axle,and eight-to 11-axle trucks at midspan of a simple beam member.The results indicate that the summation of the fatigue damage caused by four-and five-axle trucks and eight-to 11-axle trucks contributed to more than 86%of the total damage accumulation at Station 001.Moreover,the eight-to 11-axle trucks caused more than 50%of the total fatigue damage at the middle span of simple beam in spans above 15m ͑50ft ͒.This percentage was relatively high given that a total number of these trucks was only 14%of the truck traffic.In long bridge spans,the fatigue damage caused by eight-to 11-axle trucks tends to overcome the damage caused by four-and five-axle trucks.This is because the heavy loaded eight-to 11-axle trucks cause considerably higher moments than the four-and five-axle trucks in long spans.At Station 410,four-and five-axle trucks contributed to more than 95%of the total fatigue damage.A majority of the fatigue damage was dominated by four-and five-axle trucks at Station 520.They accounted for roughly 70%of the total fatigue damage,while two-and three-axle trucks caused approximately 30%of the fatigue damage at this station.The percent fatigue damage of the multiple axle trucks at the middle span and middle support of continuous-beam members was found to have a similar trend as depicted in Fig.7for simple-beam members.Table 2.Percent Truck Classified by Number of Axles Number of axles Station001410520227.918.1347.063 6.12 3.3812.694 2.22 2.748.71545.2184.1731.36 2.82 1.540.227 1.30.030.038 3.070.0109 6.820010 1.9900112.54Fig. 5.Histogram of gross truck weight:͑a ͒Station 001;͑b ͒Station 410;and ͑c ͒Station 520JOURNAL OF BRIDGE ENGINEERING ©ASCE /JANUARY/FEBRUARY 2006/75D o w n l o a d e d f r o m a s c e l i b r a r y .o r g b y S o u t h e a s t U n i v e r s i t y o n 11/28/14. C o p y r i g h t A S CE .F o r p e r s o n a l u s e o n l y ; a l l r i g h t s r e s e r v e d .Evaluation of Various Fatigue TrucksThe fatigue damage accumulations obtained from the simulation of the truck database were compared with the fatigue damage predicted by the 240-kN ͑54-kip ͒AASHTO fatigue truck,the modified AASHTO fatigue truck,and the Laman fatigue trucks.The effective gross vehicle weights computed from the WIM data were assigned for the gross weight of the modified AASHTO fatigue truck.To compare the fatigue damage accumulation caused by actual truck traffic and the various fatigue trucks,a damage ratio is introduced as follows:Damage ratio =D actualD truck =͚ͩN ei S rpi 3NC ϫN t ϫS FT3ͪ=͚ͩN ei M rpi 3NC ϫN t ϫMr 3ͪ͑6͒where S rpi ϭprimary or maximum stress range of truck i ;S FT ϭstress range of the fatigue truck;M rpi ϭprimary or maximum moment range of truck i ;Mr ϭmoment range of the fatigue truck;N ei ϭequivalent number of cycles per passage of truck i ;NC ϭequivalent number of cycles per passage of the fatigue truck;and N t ϭtotal number of fatigue truck passages.The dam-age ratio is used in the comparison because it does not require information on the fatigue detail or category classification;the detail expression is in the denominator of both damage terms and cancels out accordingly.By simulating the fatigue trucks over analytical bridge models,effective moment ranges and an equivalent number of cycles per passage of these fatigue trucks were determined.The damage ratio for each fatigue truck model was then computed.It should be noted that Laman and Nowak ͑1996͒provide a range of axle weights and axle spacings for the fatigue trucks ͑see Fig.2͒.Therefore,to obtain a configuration of the Laman fatigue trucks for each station,an iterative procedure was utilized.Each range of axle weights and axle spacings was divided into more thanTable 3.Sample of Simulation Results of WIM Data at Station 001LocationSpan ͑m ͒Moment range ͑kN m ͒Maximum Effective Middle span of simple beam9969270182,473762376,5982,173Middle support of continuous beam 9616198181,323470373,0291,014Middle span of continuous beam 9913247182,488749376,6372,188Table 4.Sample of Simulation Results of WIM Data at Station 410LocationSpan ͑m ͒Moment range ͑kN m ͒Maximum Effective Middle span of simple beam9517164181,230425373,0781,233Middle support of continuous beam932811818698295371,437581Middle span of continuous beam9483154181,234416373,0901,248Table 5.Sample of Simulation Results of WIM Data at Station 520LocationSpan ͑m ͒Moment range ͑kN m ͒Maximum Effective Middle span of simple beam9766241181,955597374,6571,650Middle support of continuous beam9436158181,187408372,096776Middle span of continuous beam9762232181,961582374,6901,675Fig.6.Average number of cycles per passage:͑a ͒Station 001;͑b ͒Station 410;and ͑c ͒Station 52076/JOURNAL OF BRIDGE ENGINEERING ©ASCE /JANUARY/FEBRUARY 2006D o w n l o a d e d f r o m a s c e l i b r a r y .o r g b y S o u t h e a s t U n i v e r s i t y o n 11/28/14. C o p y r i g h t A S CE .F o r p e r s o n a l u s e o n l y ; a l l r i g h t s r e s e r v e d .10increments.During each iteration,one of the axle weights and axle spacings of the Laman fatigue trucks was modified within the range provided in Fig.2.The procedure continued until a minimum sum of squared error of the fatigue damage over a range of bridge spans was obtained.Fig.8shows the damage ratios computed for the loading spectrum gathered for each of the three stations when compared with the 240-kN ͑54-kip ͒fatigue truck and modified AASHTO fatigue truck.The moment ranges obtained from simulation and a number of cycles per passage provided in the AASHTO fatigue guide specifications ͑AASHTO 1990͒were used in the calculation.The results indicate that the modified AASHTO fatigue truck provides a notably better estimate of the fatigue damage accumulation than the original 240-kN ͑54-kip ͒AASHTO fatigue truck at all three stations ͑i.e.,values closer to unity ͒.The fatigue damage predicted by the 240-kN ͑54-kip ͒AASHTO fatigue truck is significantly underestimated at Station 001and overestimated at Station 410.It can also be observed in Fig.8that the modified AASHTO fatigue truck does not provide an accurate estimate of the fatigue damage accumulation over the full range of the bridge spans investigated.The fatigue damage was significantly overestimated in both simple and continuous beams with short span lengths at all stations.It also should be noted that the fatigue guide specifications ͑AASHTO 1990͒provide a number of cycles per passage in form of step functions for both simple and continuous beams with short span lengths.When the actual number of cyclesper passage of the modified AASHTO fatigue truck was used in the comparison,damage ratios of approximately 0.35,0.47,and 0.57were obtained in simple and continuous beams with a 9-m ͑30-ft ͒span length at Stations 001,410,and 520,respectively.A comparison of the fatigue damage caused by the actual truck traffic and the Laman fatigue trucks are shown in Fig.9.The moment ranges and equivalent numbers of cycles per passage of the Laman fatigue trucks obtained from simulation were used in this figure.The results indicate that the Laman fatigue trucks provide a reasonable estimate of the fatigue damage accumulation at Station 001.The fatigue damage at Stations 001and 520is slightly overestimated in spans shorter than 18m ͑60ft ͒and slightly underestimated at the middle support of continuous beams in 18-to 30-m ͑60-to 100-ft ͒spans.The Laman fatigue trucks,however,overestimate fatigue damage in all span ranges at Station 410because the effective gross weight at this station is significantly less than a minimum gross weight of the truck configurations provided in Fig.2.Proposed Fatigue TruckA new fatigue truck design was developed by utilizing an iterative procedure.During the iteration,both the axle weight ratios and the axle spacings of the fatigue truck were modified.The effective gross weights obtained from the WIM database were assigned for a gross weight of the fatigue trucks.Maximum momentranges,Fig.7.Percent fatigue damage accumulation at midspan of simple beam members:͑a ͒Station 001;͑b ͒Station 410;and ͑c ͒Station520Fig.8.Damage ratio of 240kN and modified AASHTO fatigue trucks:͑a ͒Station 001;͑b ͒Station 410;and ͑c ͒Station 520JOURNAL OF BRIDGE ENGINEERING ©ASCE /JANUARY/FEBRUARY 2006/77D o w n l o a d e d f r o m a s c e l i b r a r y .o r g b y S o u t h e a s t U n i v e r s i t y o n 11/28/14. C o p y r i g h t A S CE .F o r p e r s o n a l u s e o n l y ; a l l r i g h t s r e s e r v e d .。

英语作文大学生压力

英语作文大学生压力

英语作文大学生压力In recent years, the topic of stress among college students has been increasingly discussed. It is no secret that university life can be demanding and overwhelming. This essay aims to explore the causes and effects of stress on college students and provide some practical tips on how to manage and reduce stress effectively.I. IntroductionCollege is often considered a crucial period in a person's life. Students face numerous challenges and responsibilities, such as academic demands, financial burdens, and social pressures. These factors can contribute to high levels of stress among students.II. Causes of Stress among College StudentsA. Academic Pressure1. Heavy Workload: College students often face a large amount of coursework and assignments, leading to time constraints and pressure to perform well academically.2. High Expectations: Many students feel the pressure to maintain high grades and excel in their studies due to personal or parental expectations.B. Financial Burdens1. Tuition Fees: The rising cost of education puts immense financial pressure on college students and their families.2. Part-Time Jobs: Some students take up part-time jobs to support themselves financially, which can add additional stress and reduce the time available for academic pursuits.C. Social Pressures1. Peer Comparison: College is a time when young adults compare themselves to their peers, leading to feelings of inadequacy or a fear of missing out (FOMO).2. Social Relationships: Building new relationships and fitting into new social groups can be stressful and anxiety-inducing for some students.III. Effects of Stress on College StudentsA. Physical Effects1. Fatigue: Stress can lead to physical exhaustion, resulting in a lack of energy and concentration.2. Sleep Disorders: Students often experience difficulty in sleeping due to racing thoughts and anxiousness.B. Emotional Effects1. Anxiety and Depression: Persistent stress can contribute to the development of anxiety and depression among college students.2. Mood Swings: Stress can cause frequent and abrupt changes in emotions, leading to irritability and frustration.C. Cognitive Effects1. Decreased Concentration: High levels of stress can impair a student's ability to focus and concentrate, negatively affecting their academic performance.2. Memory Problems: Stress can interfere with the retrieval and consolidation of information, making it difficult to retain and recall knowledge.IV. Managing and Reducing StressA. Time Management1. Prioritize Tasks: Set realistic goals and priorities to effectively manage time and workload.2. Breaks and Rest: Incorporate regular breaks and sufficient rest into the daily schedule to avoid burnout.B. Seeking Support1. Counseling Services: Take advantage of counseling services provided by the university to address and manage stress-related concerns.2. Social Support: Seek support from friends, family, or support groups to share experiences and receive encouragement.C. Healthy Lifestyle1. Exercise: Engaging in regular physical activity can help reduce stress levels and improve overall well-being.2. Healthy Eating: Maintain a balanced diet with nutritious food to support physical and mental health.V. ConclusionIn conclusion, the pressures faced by college students can result in high levels of stress, impacting their physical, emotional, and cognitive well-being. However, by understanding the causes and effects of stress and implementing effective stress management strategies, students can proactively work towards maintaining a healthier and more balanced university experience. It is crucial for both individuals and institutions to prioritize mental health, fostering a supportive environment that encourages open discussions and access to necessary resources.。

concentration定语

concentration定语

Concentration1. IntroductionConcentration refers to the ability to focus one’s attention on a specific task or object for an extended period of time. It is an essential cognitive skill that plays a crucial role in various aspects of our lives, including work, education, and daily activities. Theability to concentrate effectively can significantly improve productivity, learning outcomes, and overall well-being.2. The Importance of Concentration2.1 Enhancing ProductivityConcentration is directly linked to productivity. When we can concentrate on a task without distractions, we are more likely to complete it efficiently and effectively. By maintaining a high level of focus, we can prioritize our tasks, avoid procrastination, and accomplish our goals in a timely manner.2.2 Improving LearningConcentration is especially important in the context of education. Students who can concentrate well in the classroom are more likely to absorb and retain information. They are also better equipped to actively participate in discussions and engage with the learning materials. Improved concentration leads to better academic performance and a deeper understanding of the subject matter.2.3 Heightening Mental ClarityConcentration allows us to clear our minds from unnecessary thoughts and distractions. When we can focus our attention without being easily swayed by external factors, we can think more clearly and make betterdecisions. Enhanced mental clarity enables us to solve problems more effectively and approach tasks with a greater level of efficiency.2.4 Cultivating MindfulnessConcentration is closely related to mindfulness, which refers to the state of being fully present and aware of the current moment. When we concentrate on the present task at hand, we immerse ourselves in the experience, leading to a heightened sense of mindfulness. This can reduce stress, increase self-awareness, and improve overall mental well-being.3. Factors Affecting ConcentrationSeveral factors can significantly impact our ability to concentrate effectively. It is essential to identify and address these factors to optimize our concentration levels.3.1 DistractionsDistractions, both external and internal, can disrupt our concentration. External distractions include noises, interruptions, and environmental factors, while internal distractions may involve worries, personal concerns, or even daydreaming. Minimizing distractions and creating a conducive environment can help maintain focus.3.2 Fatigue and SleepLack of sleep and fatigue can severely affect concentration. When our bodies and minds are tired, it becomes challenging to sustain focus and attention. Prioritizing quality sleep, maintaining a regular sleep schedule, and adopting healthy lifestyle habits can improve concentration levels.3.3 Stress and AnxietyHigh levels of stress and anxiety can impair concentration. When we are overwhelmed by worry or pressure, our minds tend to wander, making itdifficult to concentrate on the task at hand. Practicing stress management techniques, such as meditation or deep breathing exercises, can alleviate these effects and enhance concentration.3.4 MultitaskingContrary to popular belief, multitasking can hinder concentration rather than enhance it. Dividing our attention among multiple tasks reduces our ability to concentrate on any one task fully. Prioritizing tasks, focusing on one task at a time, and practicing mindfulness can help avoid the pitfalls of multitasking.4. Strategies for Improving ConcentrationTo enhance concentration abilities, various strategies and techniques can be employed. Experimenting with different methods and identifying what works best for each individual is essential.4.1 Time ManagementEffectively managing time can positively impact concentration. Breaking down tasks into smaller, manageable chunks and allocating dedicated time slots for each task can make it easier to maintain focus. Using tools such as timers or productivity apps can assist in structuring and managing time effectively.4.2 Mindfulness and MeditationPracticing mindfulness and meditation can improve concentration by training the mind to stay present and focused. These practices involve redirecting attention back to the present moment whenever the mind wanders. Regular mindfulness exercises can improve overall concentration abilities and reduce the impact of distractions.4.3 Regular Breaks and Physical ActivityTaking regular breaks during prolonged periods of work or study can counteract mental fatigue and improve concentration. Engaging inphysical activity or exercise during these breaks can further enhance focus and cognitive performance. Physical movement increases blood flow to the brain and promotes a heightened sense of alertness.4.4 Mindful EatingNutrition plays a significant role in concentration and cognitive function. Adopting mindful eating habits, such as consuming a balanced diet and staying adequately hydrated, can support optimal brain functioning. Avoiding excessive sugar, caffeine, and processed foods can prevent energy crashes and promote sustained focus.4.5 Environment OptimizationCreating an environment conducive to concentration is vital. Minimizing distractions, organizing workspaces, and utilizing tools such as noise-cancelling headphones or white noise generators can help create an atmosphere that promotes focus. Personalizing the environment to suit individual preferences also contributes to an increased sense of comfort and concentration.ConclusionConcentration is a crucial cognitive skill that significantly impacts our productivity, learning capabilities, and overall well-being. By understanding the importance of concentration and implementingstrategies to enhance it, individuals can unlock their full potential and achieve success in various areas of life. It is an ongoing process that requires practice and dedication, but the rewards of improved concentration are well worth the effort.。

how well do we concentrate阅读解析

how well do we concentrate阅读解析

How Well Do We Concentrate?IntroductionConcentration is a vital skill that plays a crucial role in our daily lives. Whether it is studying, working, or even engaging in recreational activities, the ability to concentrate allows us to focus our attention and complete tasks efficiently. However, with the increasingdistractions in our modern society, it is essential to explore thefactors that affect our concentration levels and strategies to improve it. In this article, we will delve into the concept of concentration,its importance, factors that influence it, and ways to enhance our concentration abilities.The Significance of ConcentrationConcentration is the ability to direct one’s mental focus and sustain attention on a particular task or stimulus. It is a valuable cognitive skill that enables us to process information effectively, solve problems, make decisions, and achieve our goals. Whether it is at school, workplace, or in our personal lives, concentration plays a pivotal role in our success and overall well-being.Factors Influencing ConcentrationSeveral factors can impact our concentration levels. Understanding these factors can help us identify and overcome the barriers that hinder our ability to concentrate. Here are some significant influences on our concentration:1. External DistractionsExternal distractions refer to any stimuli in our environment thatdivert our attention away from the task at hand. Common examples include noise, visual disturbances, interruptions, and a cluttered workspace. Toimprove concentration, it is crucial to create a conducive environment that minimizes external distractions and promotes focus.2. Internal DistractionsInternal distractions originate from our thoughts, emotions, and physical sensations. Anxiety, stress, fatigue, and hunger are some internal factors that can negatively impact concentration. Managing these internal distractions through relaxation techniques, regular exercise, adequate rest, and a healthy diet can enhance our ability to concentrate.3. MultitaskingContrary to popular belief, multitasking can be counterproductive to concentration. Rapidly switching between tasks divides our attention and impairs our focus. It is more effective to engage in one task at a time and allocate dedicated blocks of time for each activity, thus allowing for greater concentration and productivity.4. Lack of InterestConcentration is significantly influenced by our level of interest and engagement with a task. When we find a task boring or unstimulating, it becomes challenging to maintain focus. Cultivating curiosity, finding intrinsic motivation, and breaking tasks into smaller, manageable chunks can help maintain interest and improve concentration.5. Technology and Digital DistractionsIn the digital age, technology has become a prevalent source of distraction. Constant notifications, social media platforms, and the temptation to browse the internet can significantly reduce our concentration levels. It is essential to establish boundaries and adopt strategies such as setting specific periods for focused work, disabling notifications, and utilizing productivity applications to minimizedigital distractions.Strategies to Improve ConcentrationEnhancing concentration requires conscious effort and the adoption of specific techniques. Here are some strategies that can help improve our ability to concentrate:1. Mindfulness and MeditationPracticing mindfulness and meditation exercises trains our minds to stay present and focused. Regular mindfulness exercises improve attention control and reduce mind-wandering, thereby enhancing concentration. Simple techniques like deep breathing, body scans, and guided meditations can be integrated into our daily routine to boost concentration.2. Time Management and PrioritizationEffective time management and prioritization allow us to allocate dedicated blocks of time for specific tasks. By setting clear goals, breaking tasks into smaller subtasks, and implementing time management techniques such as the Pomodoro technique, we can optimize our concentration by utilizing focused bursts of work interspersed with short breaks.3. Create an Optimal WorkspaceDesigning a workspace that is free from external distractions can significantly improve concentration. Ensure a quiet and well-lit environment, declutter your workspace, and eliminate any potential distractions. Additionally, personalizing your workspace with elements that inspire and motivate you can enhance focus and concentration.4. Take Regular BreaksWhile it may seem counterintuitive, taking regular breaks is essential for maintaining concentration. Our brains have finite attention spans, and sustained focus for extended periods can lead to mental fatigue. Short breaks allow the brain to rest and recharge, promoting overall productivity and concentration.5. Practice Active Listening and Engage with the TaskActive listening involves giving our full attention to the speaker or the task at hand. Actively engaging with the content, taking notes, asking questions, and visualizing information can enhance concentration and retention. By actively participating in the task, we are more likely to maintain focus and improve our concentration levels.ConclusionConcentration is a vital skill that contributes to our productivity, success, and overall well-being. By understanding the factors thataffect our concentration levels and implementing effective strategies, we can improve our ability to concentrate. Creating a conducive environment, managing distractions, practicing mindfulness, and adopting techniques like time management and active listening are just a few ways to enhance concentration. With conscious effort and practice, we can cultivate better concentration skills and reap the benefits in various aspects of our lives. So, let us embark on this journey to unleash the full potential of our concentration abilities.。

身心感受英语作文带翻译

身心感受英语作文带翻译

身心感受英语作文带翻译英文回答:In the symphony of life, where each note reverberates with an ethereal melody, I have come to appreciate the profound and enigmatic connection between my mind and body. Like two intertwined vines, they dance harmoniously, weaving a tapestry of emotions, perceptions, and sensations that paint the canvas of my existence.My senses, the orchestra's instruments, act as conduits between the external world and the depths of my soul. Through the prism of sight, I marvel at the kaleidoscope of colors that nature's palette bestows upon the world. The gentle touch of a loved one's hand sends ripples of warmth through my body, igniting a constellation of emotions. The symphony of sounds, from the chirping of birds to the thunderous roar of a waterfall, paints vivid landscapes in my mind. The tantalizing aromas of freshly baked bread and blooming flowers evoke nostalgic memories, awakening alonging deep within me.My mind, the conductor of this symphony, interprets these raw sensory inputs, giving them meaning and context. It orchestrates my thoughts, emotions, and actions, weaving them into a cohesive narrative. When I am deep in thought, my body becomes still, as if in reverent silence, allowing my mind to delve into the depths of contemplation. When I am filled with joy, my body responds in kind, with laughter, dancing, and an irresistible urge to express my happiness with the world.Yet, this delicate balance can be disrupted by the tumultuous storms of life. Stress, anxiety, and trauma can wreak havoc on both my mind and body. Physical symptoms, such as headaches, fatigue, and digestive issues, manifest as a reflection of my inner turmoil. My mind becomes clouded, making it difficult to concentrate or make clear decisions.In these moments of dissonance, I seek solace inpractices that bring harmony back to my symphony. Meditation and mindfulness allow me to quiet my mind, observe my thoughts and feelings without judgment, and reconnect with my inner self. Exercise releases endorphins, flooding my body with a sense of well-being that echoes in my mind. Nurturing connections with loved ones provides emotional support and reminds me that I am not alone.Through these practices, I have learned to navigate the ebb and flow of life's symphony. By tending to both my mind and body, I cultivate a sense of equilibrium that allows me to thrive even in the midst of adversity. The phrase "mens sana in corpore sano" aptly captures the essence of this profound connection, for a sound mind resides in a sound body, and vice versa.中文回答:在生命交响乐中,每一个音符都以空灵的旋律回响,让我领会到了心灵和身体之间的深刻而神秘的联系。

一个同学上课不能集中精力该英语作文

一个同学上课不能集中精力该英语作文

一个同学上课不能集中精力该英语作文Struggling to concentrate during class is a common issue for many students, and it can have a negative impact on their academic performance. This problem may stem from a variety of factors, such as fatigue, lack of interest in the subject, distractions, or even underlying health issues.在课堂上不能集中精力是许多学生都会遇到的问题,而且这可能会对他们的学术表现产生负面影响。

这个问题可能源自多种因素,比如疲劳、对科目不感兴趣、分心或甚至是潜在的健康问题。

Fatigue is a common reason why a student may find it difficult to concentrate during class. Lack of sufficient sleep, poor nutrition, or even stress can all contribute to feeling tired and distracted in the classroom.疲劳是学生在课堂上难以集中精力的常见原因。

缺乏足够的睡眠、营养不良甚至是压力都可能导致在课堂上感到疲惫和分心。

Another possible factor that can contribute to a student's lack of focus in class is a lack of interest in the subject matter. When a student is not engaged or motivated by the material being taught, it can be challenging for them to pay attention and absorb the information being presented.另一个可能导致学生在课堂上缺乏专注力的因素是对科目内容缺乏兴趣。

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Abstract The static and fatigue behaviour of eight different hollow section T-joints subjected to both axial and in-plane bending loads were investigated experimentally. The joints had circular brace members and rectangular chords. Hot spot stresses and the stress concentration factors (SCFs) were determined experimentally. Fatigue testing was carried out under constant amplitude loading in air. The test results have been statistically evaluated, and show that the experimental SCF values for circular-to-rectangular (CHS-to-RHS) hollow section joints were found to be between those of circular-to-circular (CHS-to-CHS) and rectangular-to-rectangular (RHSto-RHS) hollow section joints. The fatigue strength, referred to experimental hot spot stress, was in reasonably good agreement with referred fatigue design codes for tubular joints. 2002 Elsevier Science Ltd. All rights reserved.
Li-Chun Bian a, Jae-Kyoo Lim a,∗
a
Department of Mechanical Design, Automobile Hi-Te Chonbuk National University, Chonju 561-756, South Korea Received 14 March 2002; received in revised form 29 June 2002; accepted 1 July 2002
Journal of Constructional Steel Research 59 (2003) 627–640 /locate/jcsr
Fatigue strength and stress concentration factors of CHS-to-RHS T-joints

Corresponding author. Tel.: +82-63-2702321; fax: +82-63-2702460. E-mail address: jklim@moak.chonbuk.ac.kr (J.-K. Lim).
0143-974X/03/$ - see front matter 2002 Elsevier Science Ltd. All rights reserved. doi:10.1016/S0143-974X(02)00048-2
L.-C. Bian, J.-K. Lim / Journal of Constructional Steel Research 59 (2003) 627–640
629
Fig. 1.
Geometry of a CHS-to-RHS joint.
is a very little information and virtually no design guidance available for the fatigue design of CHS-to-RHS joints. The current lack of design recommendations has been a major obstacle to the use of this hybrid connection for fatigue-loaded structures. According to a previous study [6], the stress concentration factors (SCFs) for this hybrid joint (CHS-to-RHS) were sometimes between those of the RHS-to-RHS joint and the CHS-to-CHS joint, and sometimes even below the CHS-to-CHS joint. The mean fatigue life correlated well with the proposed design curve for 16 mm plate thickness [7]. Therefore, it appeared worthwhile doing more investigations on CHSto-RHS joints. Tagoe [8] presented some experimental results for CHS-to-RHS joints with axial loading, which indicated that joints with a large b-ratio would fail from the brace side and with an anomalously low fatigue strength. In the present study, the fatigue behaviour of CHS-to-RHS T-joints subjected to both axial and in-plane bending loadings was investigated, and the results obtained were compared with design guidance for RHS-to-RHS and CHS-to-CHS joints. Most of the specimens were joints with a large b-ratio. The work was undertaken in order to provide a data base which could be developed into design guidance for fatigue design of CHS-toRHS joints. This study is a basic, and also a necessary, step for the practical application of CHS-to-RHS joints and forms a foundation for future studies. 2. Specimens The material of the brace and chord members was steel to Standard DIN 17100, which is commonly used in offshore structures and has the following nominal tensile properties,
628
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Nomenclature d l t A B DEn DnV E IPB L N R SCF Smax Smin SHS Snom T a, b, g, ⌬SHS ⌬Snom eHS SYS outside diameter of brace length of brace thickness of brace axial loading outside width of chord Department of Energy, UK Det norske Veritas Young’s modulus of elasticity in-plane bending loading length of chord cycle number (fatigue life) stress ratio, Smin/Smax stress concentration factor maximum nominal stress in a constant amplitude cycle minimum nominal stress in a constant amplitude cycle hot spot stress brace nominal stress (according to beam theory) thickness of chord t non-dimensional geometrical parameters, see Fig. 1 and Table 2 hot spot stress range brace nominal stress range extrapolated hot spot strain minimum specified yield stress
offshore structures, which are subjected to fatigue by wave loading, circular hollow sections are used almost exclusively due to their relatively smaller hydrodynamic loads and stress concentrations in joints. However, in CHS-to-CHS joints, the hollow section members are joined together by welding the profiled ends of secondary members, the braces, onto the circumference of the main member, the chord. Therefore, compared with RHS-to-RHS joints, the fabrication of CHS-to-CHS joints is more costly due to their complicated joint geometry. Also, the behaviour of these welded tubular connections, even in their simplest configuration, is complex and their analysis is difficult. The stress concentrations in RHS-to-RHS joints are generally larger, and they have correspondingly lower fatigue lives. However, rectangular hollow sections provide a simpler joint geometry for fabrication of the joints (lower joint fabrication cost) and are frequently used for onshore structures and structures which are predominantly subjected to static loads. Joints with circular braces and rectangular chords may in many applications provide an optimum solution with a simple joint geometry for fabrication and a relatively smaller stress concentration factor compared to RHS-to-RHS joints. However, a study of the available literature reveals that there
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