Figure 1 shows a rigid body supported by a truss system, all elements are pinned at both ends. If a vertical load (P) is applied at the centre of rigid block: a) Calculate the forces at each bar when P is 50 kN. b) Draw the relationship between the applied load and the displacement at the centre of the rigid block. c) Find the ratio of the collapse load to the elastic load that corresponds to first yield point and the initial stiffness of the system. The elastic modulus, the yield stress and the area of the truss elements are given in Table 1. Table 1. Properties of each element in truss system Element Area (mm2) E (GPa) L (m) Yield stress (MPa) 1 400 200 2 250 2 1000 200 4 250 3 800 200 2 250

Figure 1 shows a rigid body supported by a truss system, all elements are pinned at both ends. If a vertical load (P) is applied at the centre of rigid block: a) Calculate the forces at each bar when P is 50 kN. b) Draw the relationship between the applied load and the displacement at the centre of the rigid block. c) Find the ratio of the collapse load to the elastic load that corresponds to first yield point and the initial stiffness of the system. The elastic modulus, the yield stress and the area of the truss elements are given in Table 1. Table 1. Properties of each element in truss system Element Area (mm2) E (GPa) L (m) Yield stress (MPa) 1 400 200 2 250 2 1000 200 4 250 3 800 200 2 250

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Figure 1 shows a rigid body supported by a truss system, all elements are pinned at
both ends. If a vertical load (P) is applied at the centre of rigid block:
a) Calculate the forces at each bar when P is 50 kN.
b) Draw the relationship between the applied load and the displacement at the
centre of the rigid block.
c) Find the ratio of the collapse load to the elastic load that corresponds to first yield
point and the initial stiffness of the system.
The elastic modulus, the yield stress and the area of the truss elements are given in
Table 1.
Table 1. Properties of each element in truss system
Element Area (mm2)
E (GPa)
L (m)
Yield stress (MPa)
1
400
200
2
250
2
1000
200
4
250
3
800
200
2
250
3
1
P
Figure 1: Truss system of (Q1)

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