2. Determine the vertical deflection of joint B and the horizontal movement of the support D in the truss shown in Figure 2 using the virtual work method. The cross-sectional area of each member is 1800 mm², and E = 200 000 N/mm². Support A is a pin and support D is a roller. Show all your calculation steps clearly. 4 m A 4 m E 40 kN B + Figure 2 4 m C 100 kN 4 m D

2. Determine the vertical deflection of joint B and the horizontal movement of the support D in the truss shown in Figure 2 using the virtual work method. The cross-sectional area of each member is 1800 mm², and E = 200 000 N/mm². Support A is a pin and support D is a roller. Show all your calculation steps clearly. 4 m A 4 m E 40 kN B + Figure 2 4 m C 100 kN 4 m D

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

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

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2. Determine the vertical deflection of joint B and the horizontal movement of the support D in the
truss shown in Figure 2 using the virtual work method. The cross-sectional area of each member is
1800 mm², and E = 200 000 N/mm². Support A is a pin and support D is a roller. Show all your
calculation steps clearly.
40 KN
E
ED
B
4 m
+
Figure 2
4 m
4 m
C
100 kN
4 m
D

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Step 1: Given data:-

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Step 2: Finding the support reactions and P -forces due to given loads:-

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Step 3: Finding K1 forces:-

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Step 4: Finding K2 forces:-

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