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Advanced mechanics of materials (1993-John Willey) Episode 5

Tham khảo tài liệu 'advanced mechanics of materials (1993-john willey) episode 5', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 222 5 ENERGY METHODS 5.45. Member ABCD in Fig. P5.45 lies in the plane of the paper. If length L is large compared with the depth of the member determine the pin reaction V at D and the horizontal displacement qH of the pin at D. Ans. V 81P 128 qH 9PL3 64EI 5.46. Let the pin at D for member ABCD in Problem 5.45 be prevented from displacing horizontally as load p is applied. Determine pin reactions V and H at D. 5.47. The structure in Fig. P5.47 is made up of a steel E 200 GPa rectangular beam ABC with depth h 40.0 mm and width b 30.0 mm and two wood E 10.0 GPa pin-connected members BD and CD with 25.0-mm square cross sections. If load p 9.00 kN is applied to the beam at c determine the reaction V at support D and the maximum stresses in the steel beam and wood members. Ans. V 13.09 kN 7beam 92.1 MPa ơcompression member 13.1 MPa Figure P5.47 PROBLEMS 223 5.48. Member ABC in Fig. P5.48 has a uniform circular cross section with radius r that is small compared with R. Determine the pin reaction V at c and horizontal component of the displacement of point B. 5.49. Member ABC in Fig. P5.49 has a right angle bend at B lies in the x z plane and has a circular cross section with diameter d that is small compared with either length Li or length L2. The reaction at c prevents deflection in the y direction only. Determine the reaction V at c when the moment Mo is applied at c. Ans. V MO 3L22 6L1L2 1 v 2L 2L32 6LiLị l v Figure P5.49 5.50. Member AB in Fig. P5.5O is a quadrant of a circle lying in the x z plane has a circular cross section of radius r which is small compared with R and is supported by a spring spring constant K at B whose action line is parallel to the y axis. Determine the force in the spring when torque To is applied at B with action line parallel to the negative z axis. 5.51. The structure in Fig. P5.51 has a uniform circular cross section with diameter d which is small compared with either H or L. The structure is fixed at 0 and c and lies in the x z plane.