The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 110 GPa] with a cross-sectional area of A₁ = 630 mm². Bar (2) is an aluminum alloy [E = 79 GPa] with a cross-sectional area of A₂ = 340 mm². A concentrated load of P = 52 kN acts on the structure at D. Assume L₁=910 mm., L₂=430 mm., a=450 mm., b=280 mm., and c=1030 mm. Determine: (a) the normal stresses 0₁, 02 in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar. a 5 Answers: (a) 6₁ (b) VD= = tel i (1) L₁ L2 B C MPa, 0₂ = mm. i MPa

The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 110 GPa] with a cross-sectional area of A₁ = 630 mm². Bar (2) is an aluminum alloy [E = 79 GPa] with a cross-sectional area of A₂ = 340 mm². A concentrated load of P = 52 kN acts on the structure at D. Assume L₁=910 mm., L₂=430 mm., a=450 mm., b=280 mm., and c=1030 mm. Determine: (a) the normal stresses 0₁, 02 in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar. a 5 Answers: (a) 6₁ (b) VD= = tel i (1) L₁ L2 B C MPa, 0₂ = mm. i MPa

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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The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 72 GPa] with a cross-sectional area of A₁ = 820 mm². Bar (2) is a bronze alloy [E = 104 GPa] with a cross-sectional area of A₂ = 470 mm². Assume L₁=3 m, L₂=3.5 m, a=0.8 m, b=1.7 m, and c=1.2 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 = 38 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) Answers: (a) 6₁ = (b) &₁ = (c) VA = i i L₁ B b ล с L2 MPa, 0₁ = με, εξ = i mm. D MPa. με.
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Compound axial member ABC has a uniform diameter of d = 1.25 in. • Segment (1) is an aluminum [E, = 10000 ksi] alloy. The length of segment (1) is L, = 70 in. • Segment (2) is a copper [E2 = 17000 ksi] alloy. The length of segment (2) is L2 = 98 in. When axial force Pis applied, a strain gage attached to copper segment (2) measures a normal strain of 8z = 2100 uin./in. in the longitudinal direction. What is the total elongation of member ABC? L2 Aluminum B Сорer Answer: in. AL = i