Drawing Well: Bending Moment (and Shear Force) Diagrams

2022 ◽  
pp. 55-64
Keyword(s):  
2011 ◽  
Vol 110-116 ◽  
pp. 3422-3428 ◽  
Author(s):  
Behzad Abdi ◽  
Hamid Mozafari ◽  
Ayob Amran ◽  
Roya Kohandel

This work devoted to an ellipsoidal head of pressure vessel under internal pressure load. The analysis is aimed at finding an optimum weight of ellipsoidal head of pressure vessel due to maximum working pressure that ensures its full charge with stresses by using imperialist competitive algorithm and genetic algorithm. In head of pressure vessel the region of its joint with the cylindrical shell is loaded with shear force and bending moments. The load causes high bending stresses in the region of the joint. Therefore, imperialist competitive algorithm was used here to find the optimum shape of a head with minimum weight and maximum working pressure which the shear force and the bending moment moved toward zero. Two different size ellipsoidal head examples are selected and studied. The imperialist competitive algorithm results are compared with the genetic algorithm results.


Author(s):  
Alexander V. Pesterev ◽  
Lawrence A. Bergman

Abstract The problem of calculating the dynamic response of a one-dimensional distributed parameter system excited by an oscillator traversing the system with an arbitrarily varying speed is investigated. An improved series representation for the solution is derived that takes into account the jump in the shear force at the point of the attachment of the oscillator, which makes it possible to efficiently calculate the distributed shear force and, where applicable, bending moment. The improvement is achieved through the introduction of the “quasi-static” solution, an approximation to the desired one, which makes it possible to apply to the moving oscillator problem the “mode-acceleration” technique conventionally used for acceleration of series in problems related to the steady-state vibration of distributed systems. Numerical results illustrating the efficiency of the method are presented.


1979 ◽  
Vol 46 (2) ◽  
pp. 303-310 ◽  
Author(s):  
Norman Jones ◽  
J. Gomes de Oliveira

The theoretical procedure presented herein examines the influence of retaining the transverse shear force in the yield criterion and rotatory inertia on the dynamic plastic response of beams. Exact theoretical rigid perfectly plastic solutions are presented for a long beam impacted by a mass and a simply supported beam loaded impulsively. It transpires that rotatory inertia might play a small, but not negligible, role on the response of these beams. The results in the various figures indicate that the greatest departure from an analysis which neglects rotatory inertia but retains the influence of the bending moment and transverse shear force in the yield condition is approximately 11 percent for the particular range of parameters considered.


Author(s):  
Mahathir Mahathir ◽  
Made Suangga

Vehicle load measurement technology continues to develop and one of them is the weigh in motion (WIM) load measurement technology. Weigh in motion (WIM) technology allow the measurement of vehicle load when vehicles moving, which is the actual load of traffic received by road and bridge. This study aims to compare the response of the bridge to the actual load of traffic from the WIM data with the standard load of SNI 1725:2016. This study using a composite steel girder bridge span 40 m, with WIM data of the Kaligawe Bridge in Semarang. Based on the characteristic of the vehicle axle load, class 40 namely the type of two-axle truck, has the largest axle load value 18 tons with an overload percentage 80%. Whereas based on the characteristic of the vehicle amount, class 30 namely the type of two-axle car, has the largest vehicle amount of 2296. The result of the 3D analysis of the bridge structure can be concluded that the WIM traffic data at Kaligawe Bridge Semarang obtained bending moment and shear force lower than the standard load of SNI 1725:2016. The ratio value of the maximum bending moment and shear force of WIM data traffic load to standard load of SNI 1725:2016 on 40 m span bridge are 0.93 and 0.96. This shows that the actual load of WIM data traffic has a load that is smaller than the standard load of SNI 1725: 2016. Keywords: bridge; design vehicle load; Monte Carlo simulation; weight in motion ABSTRAKTeknologi pengukuran beban kendaraan terus berkembang dan salah satunya adalah teknologi pengukuran beban kendaraan bergerak weigh in motion (WIM). Teknologi weigh in motion (WIM) memungkinkan pengukuran beban kendaraan dilakukan saat kendaraan melintas, yang merupakan beban aktual lalu lintas yang diterima oleh jalan dan jembatan. Penelitian ini bertujuan membandingkan respons jembatan terhadap beban aktual lalu lintas dari data WIM dengan beban rencana Standar SNI 1725:2016. Jembatan yang diteliti adalah jembatan gelagar baja komposit bentang 40 m, dengan menggunakan data WIM Jembatan Kaligawe Semarang. Berdasarkan karakteristik beban sumbu kendaraan, golongan 40 yaitu jenis kendaraan truk dua sumbu memiliki nilai beban sumbu terbesar 18 ton dengan persentase overload sebesar 80%. Sedangkan berdasarkan karakteristik jumlah kendaraan, golongan 30 yaitu jenis kendaraan mobil dua sumbu memiliki jumlah kendaraan sebesar 2296. Hasil analisis 3D struktur jembatan dapat disimpulkan bahwa beban aktual lalu lintas data WIM Jembatan Kaligawe Semarang menghasilkan momen lentur dan gaya geser yang lebih rendah dari beban standar SNI 1725:2016. Nilai rasio momen lentur dan gaya geser maksimum beban aktual lalu lintas data WIM terhadap beban standar SNI 1725:2016 pada jembatan bentang 40 m berturut-turut adalah 0.93 dan 0.96. Hal ini menunjukan bahwa beban aktual lalu lintas data WIM memiliki beban yang lebih kecil dari beban standar SNI 1725:2016.


As the population is growing, urbanization is caused which results in increasing of traffic with usage in more number of vehicles for different means of transport.As stated above the growth of population and the usage of vehicles for their different means will automatically result in increase in flow of vehicles which is called as traffic. To overcome the issue of traffic getting jammed (which means having obstacles for free moment or flow at a particular place), there are many different ways implemented to overcome it. When coming to Highways one of the efficient ways of overcoming it is construction of a flyover.Here in this project we are going to a design a flyover at Morampudi Junction located in Rajahmundry Andhra Pradesh along the National Highway 216A as a proposal in order to overcome the issue of traffic jam and also to reduce the rate of accidents occurring at the junction. By considering all the data collected conducting different examinations I am going to design and analyze the flyover using software STAAD.Pro V8i to study Bending Moment, Shear Force, Nodal Displacement values by considering various types of loads considered are Dead Loads, Live Loads, Wind Loads, Vehicle Load which are taken from Indian Standard Codes IS – 456, IS – 800 & IRC: 6 - 2016.


2013 ◽  
Vol 4 (4) ◽  
pp. 133-144 ◽  
Author(s):  
Šarūnas Kelpša ◽  
Mindaugas Augonis

When the various reinforced concrete structures are designed according to EC2 and STR, the difference of calculation results, is quite significant. In this article the calculations of shear strength of bending reinforced concrete elements are investigated according to these standards. The comparison of such calculations is also significant in the sense that the shear strength calculations are carried out according to different principles. The STR regulations are based on work of the shear reinforcement crossing the oblique section and the compressed concrete at the end of the section. In this case, at the supporting zone, the external bending moment and shear force should be in equilibrium with the internal forces in reinforcement and compressed concrete, i.e., the cross section must be checked not only from the external shear force, but also from bending moment. In EC2 standard, the shear strengths are calculated according to simplified truss model, which consists of the tension shear reinforcement bars and compressed concrete struts. The bending moment is not estimated. After calculation analysis of these two methods the relationships between shear strength and various element parameters are presented. The elements reinforced with stirrups and bends are investigated additionally because in EC2 this case is not presented. According to EC2 the simplified truss model solution depends on the compression strut angle value θ, which is limited in certain interval. Since the component of tension reinforcement bar directly depends on the angle θ and the component of compression strut depends on it conversely, then exists some value θ when the both components are equal. So the angle θ can be found when such two components will be equated. However, such calculation of angle θ became complicated if the load is uniform, because then the components of tension bar are estimated not in support cross section but in cross section that are displaced by distance d. So, the cube equation should be solved. For simplification of such solution the graphical method to find out the angle θ and the shear strength are presented. In these graphics the intersection point of two components (shear reinforcement and concrete) curves describes the shear strength of element. Santrauka Straipsnyje apžvelgtos ir palygintos STR ir EC2 įstrižojo pjūvio stiprumo skaičiavimo metodikos stačiakampio skerspjūvio elementams. Normatyve neapibrėžtas EC2 metodikos santvaros modelio spyrių posvyrio kampo skaičiavimas, lemiantis galutinį įstrižojo pjūvio stiprumą. Straipsnyje pateikiamos kampo θ apskaičiavimo lygtys, atsižvelgiant į apkrovimo pobūdį. Norint supaprastinti pateiktų lygčių sprendimą siūlomas grafoanalitinis sprendimo būdas, pritaikant papildomus koeficientus. EC2 neapibrėžia skaičiavimo išraiškų, kai skersinis armavimas yra apkabos ir atlankos. Minėtos išraiškos suformuluotos ir pateiktos straipsnyje. Nustačius EC2 metodikos dėsningumus siūlomas alternatyvus apytikslis skaičiavimo būdas atlankomis ir apkabomis armuotiems elementams. Straipsnyje apžvelgtos abi – STR ir EC2 – metodikos, išskiriant pagrindinius skirtumus ir dėsningumus.


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