The axial assembly consists of a solid 1.06-in.-diameter aluminum alloy [E = 9600 ksi, v = 0.31, a = 14.6 x 10-/°F] rod (1) and asolid 1.48-in.-diameter bronze [E = 12200 ksi, v = 0.18, a = 7.2 x 10-6/°F] rod (2). Assume L1=12 in., L2=27 in. If the supports at A andC are rigid and the assembly is stress free at 1°F, determine:(a) the normal stresses o1,02 in both rods at 135°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(1)(2)L1L2Answers:( a) σι -iksi, 02 =iksi(b) ug =iin.(c) Ad, =iin.

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Answered: The axial assembly consists of a solid…

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter14: Material Selection

Section: Chapter Questions

Problem 3ETSQ

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The axial assembly consists of a solid 1.01-in-diameter aluminum alloy [E = 8900 ksi, v = 0.33,a = 12.4x 10-6/°F] rod (1) and a solid 1.63-in-diameter bronze [E = 15400 ksi, v= 0.17, a = 7.3x 10-6/°F] rod (2). Assume L,=15 in., L2=29 in. If the supports at A and Care rigid and the assembly is stress free at 6°F, determine: (a) the normal stresses o1,02 in both rods at 167°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 (1) L1 L2 Answers: (a) o = ksi, o2 = ksi (b) ug = in. (c) Adi 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 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 a solid 1.64-in-diameter bronze [E = 16200 ksi, v = 0.14, a = 9.8 x 10-6/°F] rod (2). Assume L=16 in., L2=26 in. If the supports atA and Care rigid and the assembly is stress free at 9°F, determine: (a) the normal stresses o1,02 in both rods at 133°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 Adı of the aluminum rod. B C L2 Answers: (a) o = ksi, o2 = ksi (b) ug = i in. (c) Ad, in.
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
1.6-2 A round bar of 10 mm diameter is made of alu- minum alloy 7075-T6 (see figure). When the bar is stretched by axial forces P, its diameter decreases by 0.016 mm. Find the magnitude of the load P. (Obtain the mate- rial properties from Appendix H.) P PROB. 1.6-2 7075-T6 d = 10 mm P
r Two Example (2) 8- A compound bar is constructed from three.. wide by 12mm thick together to form a bar somm wide 30 The middle bar is of aluminum alloy for which F-70 GP= outside of brass with E-100 MPa. If the bars are initia at 18c and the temperature of the whole assembly is to to So C, determine the stresses set up in the brass and the Kg = 18 510 Solutions2 FB = FAL FB So*12*10 63 Ext. + Comp. = (XAI - XB) L.A.T. FB.L FAL.L AAL.EAL Ag Eg = DAL + From these equation & FAL=3984 N FB 1992. N 1992 50*121610-6 FB AB -6 XA => 22 *10°-=-=- = (XAL-XB) LAT FAL *100*109 So*12*10% 70 4109 FAL 3984 AAL SO#1210-6 SB = SAL How find that?! = 32. MPa (Ton) FAL. L AP EA = (22-18) x 10² (50-18) XIF_P=15 KN (camp.) Find O'B and GAL F₁+ 2FB = 15 6.64 MPa: (comp)... L FB.L AB. E.B ww.as 17 Brass AL Brass
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.
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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