P5.53 The pin-connected assembly shown in Figure P5,53 consists of a rigid bar ABC, a cast iron [E = 24,400 ksi; a = 6.0 x 10-6/°F] bar (1), and an aluminum alloy [E = 10,000 ksi; a = 13.1 x 10-6/°F] bar (2). Bar (1) has cross-sectional area A, = 0.50 in.² and length L, = 18 in. Bar (2) has cross-sectional area A, = 1.60 in.² and length L2 = 45 in. Dimensions of the assembly are a = 25 in. and b = 8o in. The bars are unstressed when the structure is assembled at 75°F. After assembly, the temperature of bar (2) is decreased by 90°F while the temperature of bar (1) remains constant at 75°F. Determine the normal strains in both bars for this condition.

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P5.53 The pin-connected assembly shown in Figure P5:53 consists of a rigid bar ABC, a cast iron [E = 24,400 ksi; a = 6.0 x 10-/°F] bar (1), and an aluminum alloy [E = 10,00o ksi; a
= 13.1 x 10-0/°F]bar (2). Bar (1) has cross-sectional area A, = 0.50 in.? and length L, = 18 in. Bar (2) has cross-sectional area A, = 1.60 in.² and length L, = 45 in. Dimensions of the
assembly are a = 25 in. and b = 80 in. The bars are unstressed when the structure is assembled at 75°F. After assembly, the temperature of bar (2) is decreased by 90°F while the
temperature of bar (1) remains constant at 75°F. Determine the normal strains in both bars for this condition.
(2)
L2
Rigid bar
FIGURE P5:53
Transcribed Image Text:P5.53 The pin-connected assembly shown in Figure P5:53 consists of a rigid bar ABC, a cast iron [E = 24,400 ksi; a = 6.0 x 10-/°F] bar (1), and an aluminum alloy [E = 10,00o ksi; a = 13.1 x 10-0/°F]bar (2). Bar (1) has cross-sectional area A, = 0.50 in.? and length L, = 18 in. Bar (2) has cross-sectional area A, = 1.60 in.² and length L, = 45 in. Dimensions of the assembly are a = 25 in. and b = 80 in. The bars are unstressed when the structure is assembled at 75°F. After assembly, the temperature of bar (2) is decreased by 90°F while the temperature of bar (1) remains constant at 75°F. Determine the normal strains in both bars for this condition. (2) L2 Rigid bar FIGURE P5:53
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