A rectangular polypropylene [E = 6,200 MPa] bar (1) is connected to a rectangular nylon [E = 1,400 MPa] bar (2) at flange B. The assembly (shown in the figure) is connected to rigid supports at A and C. Bar (1) has a cross-sectional area of A₁ = 1070 mm² and a length of L₁ = 1380 mm. Bar (2) has a cross-sectional area of A₂ = 2730 mm² and a length of L₂ = 510 mm. After two loads of P = 2.6 kN are applied to flange B, determine: (a) the forces in bars (1) and (2). (b) the deflection of flange B. A L₁ (1) P B L2 (2) 10

A rectangular polypropylene [E = 6,200 MPa] bar (1) is connected to a rectangular nylon [E = 1,400 MPa] bar (2) at flange B. The assembly (shown in the figure) is connected to rigid supports at A and C. Bar (1) has a cross-sectional area of A₁ = 1070 mm² and a length of L₁ = 1380 mm. Bar (2) has a cross-sectional area of A₂ = 2730 mm² and a length of L₂ = 510 mm. After two loads of P = 2.6 kN are applied to flange B, determine: (a) the forces in bars (1) and (2). (b) the deflection of flange B. A L₁ (1) P B L2 (2) 10

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.23P: Wires B and C are attached to a support at the left-hand end and to a pin-supported rigid bar at the...

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Wires B and C are attached to a support at the left-hand end and to a pin-supported rigid bar at the right-hand end (see figure). Each wire has cross-sectional area A =0.03 in2 and modulus of elasticity E = 30 X 106 psi. When the bar is in a vertical position, the length of each wire is L = 80 in. However, before being attached to the bar, the length of wire B was 79.98 in. and wire C was 79.95 in. Find the tensile forces TBand Tc in the wires under the action of a force P = 700 lb acting at the upper end of the bar.
A rectangular polypropylene [E = 6,200 MPa] bar (1) is connected to a rectangular nylon [E = 1,400 MPa] bar (2) at flange B. The assembly (shown in the figure) is connected to rigid supports at A and C. Bar (1) has a cross-sectional area of A₁ = 1030 mm² and a length of L₁ = 1550 mm. Bar (2) has a cross-sectional area of A₂ = 2870 mm² and a length of L2 = 650 mm. After two loads of P = 2.8 kN are applied to flange B, determine: (a) the forces in bars (1) and (2). (b) the deflection of flange B. (a) F₁ = F₂ = (b) UB= i i A kN kN mm L₁ (1) P B L2 (2) C
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A rectangular polypropylene [E = 6,200 MPa] bar (1) is connected to a rectangular nylon [ E = 1,400 MPa] bar (2) at flange B. The assembly (shown in the figure) is connected to rigid supports at A and C. Bar (1) has a cross-sectional area of A₁ = 990 mm² and a length of L₁ = 1600 mm. Bar (2) has a cross-sectional area of A₂ = 2850 mm² and a length of L₂ = 590 mm. After two loads of P = 2.2 kN are applied to flange B, determine: (a) the forces in bars (1) and (2). (b) the deflection of flange B. A L₁ (1) P P B L₂ (2) C
A rectangular polypropylene [E = 6.200 MPa] bar (1) is connected to a rectangular nylon [E = 1,400 MPa] bar (2) at flange B. The assembly (shown in the figure) is connected to rigid supports at A and C. Bar (1) has a cross-sectional area of A₁ = 920 mm² and a length of L₁ = 1220 mm. Bar (2) has a cross-sectional area of A₂ = 2630 mm² and a length of L₂ = 570 mm. After two loads of P = 3.8 kN are applied to flange B, determine: (a) the forces in bars (1) and (2). (b) the deflection of flange B. (a) F₁ = F₂ = (b) UB = i i i A kN KN mm L₁ (1) P B L₂ (2)
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The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 100 GPa] with a cross-sectional area of A₁ = 210 mm². Bar (2) is an aluminum alloy [E = 72 GPa] with a cross-sectional area of A₂ = 640 mm². All bars are unstressed before the load P is applied; however, there is a 2-mm clearance in the pin connection at A. Assume L₁= 1780 mm, a = 1010 mm, b = 570 mm, c = 440 mm, and L₂= 1250 mm. If a load of P = 69 KN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar. (1) Li a D B Answers: (a) σ₁ = 0₂ = (b) VA= i Pak i C MPa MPa mm (2) L2
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The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 101 GPa] with a cross-sectional area of A₁ = 230 mm². Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A₂ = 740 mm². All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L₁ = 2040 mm, a = 1020 mm, b = 630 mm, c = 460 mm, and L₂ = 1470 mm. If a load of P = 155 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar. (1) L₁ a b B Answers: (a) σ₁ = 02= (b) VA= i i i C MPa MPa mm (2) L2