Part e) Rotation_at_BUse the principle of virtual work to determine the rotation at Support B. (The positive direction of a rotation is clockwise. Please present your result to 4 decimal places.) Radians 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

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Answered: Use the principle of virtual work to…

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 e) Rotation_at_B

Use the principle of virtual work to determine the rotation at Support B. (The positive direction of a rotation is clockwise. Please present your result to 4 decimal places.) Radians

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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