Figure shows the members of a truss structure, subjected to a vertical load of 100 kN as shown. Calculate the displacements of node A using Matrix Method. The cross sectional area of each member is 0.001 m2 and modulus of elasticity of the material (E) is 2.0 x 108 kN/m2. Lengths AB = 3.0 m, AC = 3.464 m; AD = 4.243 m; AE = 6.0 m. Angles BAC = 30°; BAD = 45°; BAE = 60°. %3D C A B X 100 kN TH

Figure shows the members of a truss structure, subjected to a vertical load of 100 kN as shown. Calculate the displacements of node A using Matrix Method. The cross sectional area of each member is 0.001 m2 and modulus of elasticity of the material (E) is 2.0 x 108 kN/m2. Lengths AB = 3.0 m, AC = 3.464 m; AD = 4.243 m; AE = 6.0 m. Angles BAC = 30°; BAD = 45°; BAE = 60°. %3D C A B X 100 kN TH

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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Concept explainers

Loads and Reactive Forces

Loads are the external influences that a beam experiences under its working conditions. For instance, a beam may be subjected to shear loads, twisting loads, bending moment, and axial loads during its working conditions. Engineers primarily deal with beams and trusses in the civil engineering domain. Due to the influence of loads, it is very crucial to determine the induced stresses and deformation values. These values give an insight into the critical area of the beam that needs to be worked upon to make it fail-safe.

Question

Figure shows the members of a truss
structure, subjected to a vertical load of 100
kN as shown. Calculate the displacements of
node A using Matrix Method. The cross
sectional area of each member is 0.001 m2
and modulus of elasticity of the material (E) is
2.0 x 108 kN/m². Lengths AB = 3.0 m,
AC = 3.464 m; AD = 4.243 m; AE = 6.0 m.
Angles BAC = 30°; BAD = 45°; BAE = 60°.
%3D
%3D
C
A
BX
100 kN
D
TK

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