Compute the deformation in member 1 which is solid alumnim with a area of 214159 mm^2
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- 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 1.13-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 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 μà -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 1The 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. 0.0020319The 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-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 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.An aluminum tube is fastened between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. For Bronze: Allowable stress = 120 MPa, EB = 83,000 MPa For Aluminum: Allowable stress = 120 Mpa, EA = 70,000 MPa For Steel: Allowable stress = 120 MPa, Es = 200,000 MPa Assume that the assembly is suitably braced to prevent buckling. Maximum overall deformation should not exceed 2mm. a) Give the value of the force acting on the bronze so as not to exceed allowable stresses and deformation. b) Give the value of the force acting on the aluminum so as not to exceed its allowable stresses and deformation. c) Give the value of the force acting on the steel so as not to exceed its allowable stresses and deformation.
- what is design strength. The material of the steel is SM275 and the size is 22mm. The sectional area is 1,650mm^2.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 a solid 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 and C 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) L1 L2 Answers: ( a) σι - i ksi, 02 = i ksi (b) ug = i in. (c) Ad, = i in.As shown in the figure below, a bronze bar is affixed between a steel bar and an aluminum bar. Axial loads are applied at the positions indicated. If the largest value of P that will not exceed an overall deformation of 4.0 mm, or the following stresses: 150 MPa in the steel, 130 MPa in the bronze, and 90 MPa in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use Est = 200 GPa, Eal = 70 GPa, and Ebr = 83 GPa. determine the stress in the bronze, steel, and aluminum