Part d) Vertical defection at Point cUse the principle of virtual work to determine the vertical deflection at Point C. ( the positive direction of a vertical deflection points upwards ) For the beam shown in Fig.Q4, use the principle of virtual work to determine (1) the vertical deflection atPoint C, and (2) the rotation at the right-hand bearing (Point B). The Young's modulus of the material isE = 200 GPa. The cantilever beam has a circular cross section with the second moment of area / = 30 x10-6 m4. The beam is under a uniformly distributed load q=15 kN/m at the AB span and a point forceP=27 kN at Point C. The length of AB span is L=8 m and the length of BC span is L₁ =3.2 m.(In this question, we assume (1) the positive direction of a vertical force points upwards; (2) thepositive direction of a horizontal force points to the right; and (3) the postive direction of an appliedmoment is clockwise .)9AALBooL₁с

Given:- Youngs modulus of elasticityE=200 GPaMoment of inertiaI=30×10-6 m4q=15 kN/mP=27 kNL=8…

Answered: Part d) Vertical defection at Point c…

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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Part d) Vertical defection at Point c

Use the principle of virtual work to determine the vertical deflection at Point C. ( the positive direction of a vertical deflection points upwards )

For the beam shown in Fig.Q4, use the principle of virtual work to determine (1) the vertical deflection at
Point C, and (2) the rotation at the right-hand bearing (Point B). The Young's modulus of the material is
E = 200 GPa. The cantilever beam has a circular cross section with the second moment of area / = 30 x
10-6 m4. The beam is under a uniformly distributed load q=15 kN/m at the AB span and a point force
P=27 kN at Point C. The length of AB span is L=8 m and the length of BC span is L₁ =3.2 m.
(In this question, we assume (1) the positive direction of a vertical force points upwards; (2) the
positive direction of a horizontal force points to the right; and (3) the postive direction of an applied
moment is clockwise .)
9
AA
L
Boo
L₁
с

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