Given that the cross-sectional area is the same for all elements A
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Given that the cross-sectional area is the same for all elements A

Problem 1

Consider the truss structure loaded as shown. Given that the cross-sectional area is the same for all elements A =1 in2, length a = 50 in, Young’s modulus E = 30∙ 106 pi, and applied force P = 1000 l, solve by hand and determine:


a) all nodal displacements

b) all support reaction forces

c) stress in the element AB 

Use elimination approach and engineering software to find the solution vector for the reduced global system of linear equations. Make sure to describe your solution steps. 

Hint
Management"Young's modulus (E): It is a property of the material which tells about how easily it could stretch and deform. It is mainly defined as the ratio of tensile stress (σ) to the tensile strain (ε). In this, the stress is basically the amount of force which is applied per unit area (σ = F/A) and,the strain is extension per unit length (ε = dl/l)."...
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