Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 30-in.-long bronze

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Rigid Bar Abcd Is Supported By A Pin Connection At A And By Two Axial Bars 1 And 2 Bar 1 Is A 30 In Long Bronze 1 (64.36 KiB) Viewed 22 times

Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 30-in.-long bronze [E = 14000 ksi, a = 9.6 x 10-6/°F] bar with a cross-sectional area of 1.00 in 2 Bar (2) is a 48-in.-long aluminum alloy [E = 8600 ksi, a = 12.4x 10-6/°F] bar with a cross-sectional area of 2.00 in.? Both bars are unstressed before the load Pis applied. Assume L1=30 in., L2=48 in., a=40 in, b=50 in., and c=18 in. If a concentrated load of P = 33 kips is applied to the rigid bar at D and the temperature is decreased by 105°F, determine: (a) the normal stresses in bars (1) and (2). (b) the normal strains in bars (1) and (2). (c) the deflection of the rigid bar at point D. (2) L2 A B с D (1) b Using a FBD of the beam, assuming members in tension, relate the force in the members and the applied force P by summing moments about the pin at A. Assume counterclockwise is positive in writing the equation. Answer: i in.) F1+ i in.) F2 + i in.) (33 kips) = 0.

Part 2 Assume the rigid bar ABCD rotates clockwise around point A. Using a deflection sketch, relate the deflections of points B and C. Assume positive deflections are down. Answer: Vg = i va e Textbook and Media Save for Later Attempts: unlimited Submit Answer Part 3 Relate the deformations of member (1) and member (2). Answer: 8 d.

Part 4 Using the relationships for deformation in terms of force and temperature change for each member together with Eqn. (3), derive a compatibility equation for the structure. [F₂ L2 [ELI Answer: + a 4T L JA, EL + a2472L2 |A₂E2 + eTextbook and Media Save for Later Attempts: unlimited Submit Answer Part 5 Solve for F2 and Fy using the results from parts 1 and 4. Answers: F1 = 1 kips, F2 = 1 kips.

Part 6 Determine the normal stress in each bar. Use positive if tensile, negative if compressive. Answers:0 = ksi, 62 = i ksi. e Textbook and Media Save for Later Attempts: unlimited Submit Answer Part 7 Determine the normal strain in bars (1) and (2). Use positive if tensile, negative if compressive. Answers: 1 με, έ: = i με.

Part 8 Determine the deflection of the rigid bar ABCD at point C. A positive deflection is down. Answer: Vc = in. eTextbook and Media Save for Later Attempts: unlimited Submit Answer Part 9 Determine the deflection of the rigid bar ABCD at point D. A positive deflection is down. Answer: Vo = i in.