Structural Analysis, SI Edition
6th Edition
ISBN: 9780357030981
Author: Aslam Kassimali
Publisher: Cengage Learning US
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Chapter D, Problem 2P
To determine
Calculate the reactions for the given beam.
Sketch the shear and bending moment diagrams for the given beam.
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Chapter D Solutions
Structural Analysis, SI Edition
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- Draw the shear force and bending moment diagramarrow_forwardThe pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 75 GPa] with a cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 109 GPa] with a cross-sectional area of A₂ = 410 mm². Assume L₁=2.6 m, L₂-3.3 m, a=0.7 m, b=1.5 m, and c=0.8 m. All bars are unstressed before the load P is applied; however, there is a 4.5-mm clearance in the pin connection at A. If a load of P = 45 kN is applied at B, determine: (a) the normal stresses σ1,02, in both bars (1) and (2). (b) the normal strains €1, €2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. (1) Answers: a (a) σ1 = (b) E₁ = (C) VA = i i i ล B C L2 b C MPa, σ = i με, Ε2 i mm. MPa. μεarrow_forwardThe pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 79 GPa] with a cross-sectional area of A₁ = 780 mm². Bar (2) is a bronze alloy [E = 104 GPa] with a cross-sectional area of A₂ = 460 mm². Assume L₁=1.6 m, L₂-2.1 m, a=0.6 m, b=1.8 m, and c-1.3 m. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. If a load of P = 58 kN is applied at B, determine: (a) the normal stresses 01,02, in both bars (1) and (2). (b) the normal strains €1,2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. (1) L₁ B Answers: (a)σ = b ล L2 C D i MPa, σ1 = i MPa. με, Ε2 = i με. (b) €1 = i (C) VA = i mm.arrow_forward
- A load of P = 114 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 116 GPa] rods, and a solid steel [E=192 GPa] rod, as shown. The bronze rods (1) each have a diameter of 19 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied; however, there is a 1.5-mm clearance in the bolted connection at B. Assume L₁ = 2.4 m and L₂ = 1.5 m. Determine: (a) the normal stresses in the bronze and steel rods (01, 02). (b) the downward deflection of rigid bar ABC. (1) Answers: L2 (a) σ1 (b) v = = i i B (1) MPa, 02 mm. = i MPa.arrow_forwardA load of P = 114 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 116 GPa] rods, and a solid steel [E=192 GPa] rod, as shown. The bronze rods (1) each have a diameter of 19 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied; however, there is a 1.5-mm clearance in the bolted connection at B. Assume L₁ = 2.4m and L2 = 1.5 m. Determine: (a) the normal stresses in the bronze and steel rods (01,02). (b) the downward deflection of rigid bar ABC. (1) Answers: (a)σ1 = (b) vi L2 (2) (1) B P mm. Li MPa, 02 MPa. =arrow_forwardA high-density polvethelene (HD PE I9 - 780 MPaiy = 0.46 rod has a diameter of 70 mm before load Pis applied. In order to maintain certain clearances, the diameter of the rod must not exceed 72 mm when loaded. What is the largest permissible compressive load P that can be applied to the HDPE rod?arrow_forward
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