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 106 m². 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=9 m and the length of BC span is L₁ =3.6 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.) р ΑΔ L BA L₁ Part a) Reactions The vertical reaction force at support A can be calculated as The vertical reaction force at support B can be calculated as The horizontal reaction force at support A can be calculated as KN KN с KN 2

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 106 m². 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=9 m and the length of BC span is L₁ =3.6 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.) р ΑΔ L BA L₁ Part a) Reactions The vertical reaction force at support A can be calculated as The vertical reaction force at support B can be calculated as The horizontal reaction force at support A can be calculated as KN KN с KN 2

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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