The axial assembly consists of a solid 1-in-diameter aluminum alloy[E = 11600 ksi, v= 0.28, a = 12.3x 10-6/°F]rod (1) and asolid 1.64-in-diameter bronze [E = 16200 ksi, v = 0.14, a = 9.8 x10-6/°F] rod (2). Assume L=16 in., L2=26 in. If the supports atA andCare rigid and the assembly is stress free at 9°F, determine:(a) the normal stresses o1,02 in both rods at 133°F (positive iftensile, negative if compressive).(b) the displacement ug of flange B (positive if to the right, negativeto the left).(c) the change in diameter Adı of the aluminum rod.BCL2Answers:(a) o =ksi, o2 =ksi(b) ug = iin.(c) Ad,in.

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Answered: The axial assembly consists of a solid…

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 axial assembly consists of a solid 1.13-in.-diameter aluminum alloy [E = 8300 ksi, v = 0.27, a = 11.1 × 10-6/°F] rod (1} and a solid 1.59-in.-diameter bronze[E = 15100 ksi, v = 0.16, a = 8.7x 10-6/°F] rod (2). Assume L3=17 in., L2=27 in. If the supports atA and C are rigid and the assembly is stress free at 14°F, determine: (a) the normal stresses o1,02 in both rods at 176°F (positive if tensile, negative if compressive). (b) the displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Adj of the aluminum rod. (2) L1 L2 Answers: (a) oj = i ksi, o2 = i ksi (b) ug = i in. (c) Adj = i in.
The axial assembly consists of a solid 1.18-in.-diameter aluminum alloy [E = 11200 ksi, v = 0.2, a = 13.3 x 10-6/°F] rod (1) and a solid 1.48-in.-diameter bronze [E = 17200 ksi, v = 0.14, a = 7.2 x 10-6/°F] rod (2). Assume L1=13 in., L2=26 in. If the supports at A and C are rigid and the assembly is stress free at 5°F, determine: (a) the normal stresses o1,02 in both rods at 161°F (positive if tensile, negative if compressive). (b) the displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad of the aluminum rod. B (2) L1 L2 Answers: (a) 01 = ksi, o2 = ksi
The axial assembly consists of a solid 1.13-in-diameter aluminum alloy [E = 8300 ksi, v = 0.27,a = 11.1 x 10-6/°F] rod (1) and a solid 1.59-in-diameter bronze [E = 15100 ksi, v = 0.16, a = 8.7x 10-6/°F] rod (2). Assume L1=17 in., L2=27 in. If the supports at A and C are rigid and the assembly is stress free at 14°F, determine: (a) the normal stresses o1,02 in both rods at 176°F (positive if tensile, negative if compressive). (b) the displacernent ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad, of the aluminum rod. B (1) (2) L1 L2 Answers: (a) oj = i 23.253 ksi, o2 = i 11.745 ksi (b) ug = -0.017055 in. (c) Adj = in. 0.0020319
The axial assembly consists of a solid 1.01-in.-diameter aluminum alloy [E = 9000 ksi, v = 0.32, a = 13× 10-6/°F] rod (1) and a solid 1.4-in.-diameter bronze [E = 15600 ksi, v = 0.17,a = 9× 10-6/°F] rod (2). ASsume L1=15 in., L2=23 in. If the supports at A and C are rigid and the assembly is stress free at 8°F, determine: (a) the normal stresses o1,02 in both rods at 177°F (positive if tensile, negative if compressive). (b) the displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad¡ of the aluminum rod. B C (1) (2) L1 L2 Answers: ( a) σ1 i ksi, o2 = i ksi (b) UB = i in. (c) Adı = in. i
The light rigid bar ABCD shown is pinned at C and connected to two vertical rods. The bar was initially horizontal, and the rods were stress-free before the load P = 20 KN is applied. %3D Steel E200 GPa A-600mm L1 m 2.0 m 0.6 m 1.5 m Pa20 KN Aluminum E-70 GPa A=900mm L-1.5 m What is the ratio of the deformation of steel to deformation of aluminum?
A bronze bar is fastened between a steel bar and an aluminum bar as shown in the figure. Axial loads are applied at the positions indicated. The allowable overall deformation is not to exceed 1.2 mm. Assume that the 2P Aluminum L- 1.5 m A= 550 mm E= 70 GPa Steel Bronze L= 2.0 m L= 1.0 m A= 600 mm A= 650 mm E= 200 GPa E= 83 GPa assembly is suitably braced to prevent buckling. Find the maximum permissible value of P.
The axial assembly consists of a solid 1.05-in.-diameter aluminum alloy [E = 9700 ksi, v = 0.29, 12.3 × 10−6/°F] rod (1) and a solid 1.4-in.-diameter bronze [E = 13300 ksi, v = 0.22, 9 × 10–6/°F] rod (2). Assume L1=17 in., L2=24 in. If the supports at A and C are rigid and the assembly is stress free at 10°F, determine: (a) the normal stresses , in both rods at 162°F (positive if tensile, negative if compressive). (b) the displacement uB of flange B (positive if to the right, negative to the left). (c) the change in diameter of the aluminum rod.
The assembly consists of two red brass C83400 copper rods AB and CD of diameter 30 mm, a stainless 304 steel alloy rod EF of diameter 40 mm, and a rigid cap G. The supports at A, C and F are rigid. Modul of elasticy for the copper is Ecopper = 101 GPa. Modul of elasticity for the steel is Esteel = 193 GPa. (Figure 1) Figure ▼ Part A σAB = Submit Part B Value Submit μÀ Request Answer Part C LO OCD = Value Determine the average normal stress developed in the rod AB. Express your answer to hree significant figures and include the appropriate units. μA Request Answer EF = Units Units A μÃ -300 mm- Value C 30 mm Determine the average normal stress developed in the rod CD. Express your answer to three significant figures and include the appropriate units. Submit Request Answer 30 mm ? B D G ? E 450 mm 40 kN 40 kN 40 mm Determine the average normal stress developed in the rod EF. Express your answer to three significant figures and include the appropriate units. Units F ? < 1 of 1
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 60 GPa] with a cross-sectional area of A1 = 870 mm?. Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of Ay = 520 mm?. Assume L$=2.6 m, La=2.9 m, a=0.7 m, b= 1.3 m, and c= 1.1 m. All bars are unstressed before the load P is applied; however, there is a 3.9-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 € , E2, in bars (1) and (2). (c) determine the downward deflection vA of point A on the rigid bar.
Problem 1 An axial force of P is applied to the center of the rigid end plate shown below. If the portion of the load carried by the aluminum plates is half the portion of the load carried by the brass core, (a) determine the value of h, (b) the total load if the stress in the brass is 50 MPa. Brass core (E = 105 GPa) Aluminum plates (E = 70 GPa) Rigid end plate 300 mm 60 mim 40 mm
Current Attempt in Progress The axial assembly consists ofa solid 0.88-in.-diameter aluminum alloy (E = 8900 ksi, v = 0.33, a = 13 x 10-6/°F] rod (1) and a solid 1.78-in.-diameter bronze [E = 14800 ksi, v = 0.2.a = 8.4 x 10 6/°F] rod (2). Assume L=14 in., Ly-21 in. If the supports at A and C are rigid and the assembly is stress free at 17°F, determine: (a) the normal stresses o.02 in both rods at 183°F (positive if tensile, negative if compressive). (b) the displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad of the aluminum rod. %3D !! B Answers: ksi ksi, o2 = (a) o1 %3D in. (b) ug- in. (c) Adi
*7-88. Nylon strips are fused to glass plates. When moderately heated the nylon will become soft while the glass stays approximately rigid. Determine the average shear strain in the nylon due to the load P when the assembly deforms as indicated. 2 mm 3 mm 5 mm 3 mm 5 mm 3 mm

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