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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 an area /= 30 x 10-6 m². The beam is under a uniformly distributed load q=15 kN/m at the AB span and a point force P=31 kN at Point C. The length of AB span is L=10 m and the length of BC span is L₁ =4 m. marks wered marks swered marks nswered marks answered 59 (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.) L BA L₁ C

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 an area /= 30 x 10-6 m². The beam is under a uniformly distributed load q=15 kN/m at the AB span and a point force P=31 kN at Point C. The length of AB span is L=10 m and the length of BC span is L₁ =4 m. marks wered marks swered marks nswered marks answered 59 (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.) L BA L₁ C

Structural Analysis
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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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 an area /= 30 x 10-6 m². The beam is under a uniformly distributed load q=15 kN/m at the AB span and a point force P=31 kN at Point C. The length of AB span is L=10 m and the length of BC span is L₁ =4 m. harks wered marks swered marks nswered marks answered 59 (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.) L BA L₁ C
Transcribed Image Text: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 an area /= 30 x 10-6 m². The beam is under a uniformly distributed load q=15 kN/m at the AB span and a point force P=31 kN at Point C. The length of AB span is L=10 m and the length of BC span is L₁ =4 m. harks wered marks swered marks nswered marks answered 59 (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.) L BA L₁ C
S Part d) Vertical defection at Point c ed ks red rks ered arks ered Use the principle of virtual work to determine the vertical deflection at Point C. (the positive direction of a vertical deflection points upwards) mm Show steps (Your score will not be affected.) 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 décimal places.) Radian Subr Show steps (Your score will not be affected.) Submit part
Transcribed Image Text:S Part d) Vertical defection at Point c ed ks red rks ered arks ered Use the principle of virtual work to determine the vertical deflection at Point C. (the positive direction of a vertical deflection points upwards) mm Show steps (Your score will not be affected.) 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 décimal places.) Radian Subr Show steps (Your score will not be affected.) Submit part
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