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The truss shown in figure 1 is loaded and is in equilibrium. All members of the

ID: 2997438 • Letter: T

Question

The truss shown in figure 1 is loaded and is in equilibrium. All members of the structure are rigid body and their weight is negligible. The stiffness of the supporting linear spring at point B,k= 37.5 MN/m. Determine (In all the calculations, the free body diagrams need to be shown) All zero-force members. The displacement of the spring from the uncompressed position in the vertical direction. Is the truss internally statically determinate? The internal force for members listed in the table (copy and complete the table). By comparing the internal force of members in the table, which one is the closest to the limiting member? (The maximum internal load for tension is 1500 kN; for compression for L = 3.8 m is 1200 kN)

Explanation / Answer

As per the type of joint the reaction forcces are shown below.Clearly Ax = O (balancing forces horizontally) Ay + Dy = 10 KN(balancing forces vertically) taking moment about D.


MD = 10*3