Use the virtual work method to determine the slope and deflection at point D of the beam shown. 155 kN 37 kN/m Hinge 5m FIG. P7.35 B -2.5 m- -2.5 m- 1-1,680(106) mm T 1-1,260(106) mm E-constant 205 GPa

Use the virtual work method to determine the slope and deflection at point D of the beam shown. 155 kN 37 kN/m Hinge 5m FIG. P7.35 B -2.5 m- -2.5 m- 1-1,680(106) mm T 1-1,260(106) mm E-constant 205 GPa

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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Answer Key: slope = 0.0073 Deflection = 16.6
Use the virtual work method to determine the slope and deflection at point D of the beam shown.
37 kN/m
155 kN
Hinge
5m
1-1,680(106) mm
FIG. P7.35
B
-2.5 m-
-2.5 m-
1-1,260(106) mm
E-constant 205 GPa

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Step 1: Given data

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Step 2: Finding M moments due to given loads:-

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Step 3: finding m1 and m2 moments due to applied loads at point D:

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Step 4: By using virtual work method to finding the slope at point D:-

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Step 5: By using virtual work method to finding the deflection at point D:-

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