The pin-connected structure shown consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 200 GPa; a = 11. x 10-6/°C), with a cross-sectional area of A, = 430 mm². Bar (2) is an aluminum alloy [E - 70 GPa; a = 22.5 x 10-6/°C], with a cross-sectional area of Az = 380 mm?. The bars are unstressed when the structure is assembled. Assume a-380 mm, b=650 mr c-690 mm, P=35 kN, and L-930 mm. After a concentrated load of P = 35 kN is applied and the temperature is increased by 15°C, determine (a) the normal stresses in bars (1) and (2). (b) the deflection of point D on the rigid bar. (1)

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The pin-connected structure shown consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 200 GPa; a = 11.7
x 10-6/°C], with a cross-sectional area of A, = 430 mm?. Bar (2) is an aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C], with a
cross-sectional area of A2 = 380 mm2. The bars are unstressed when the structure is assembled. Assume a=380 mm, b=650 mm,
c=690 mm, P=35 kN, and L=930 mm. After a concentrated load of P = 35 kN is applied and the temperature is increased by
15°C, determine
(a) the normal stresses in bars (1) and (2).
(b) the deflection of point D on the rigid bar.
L
(1)
B
On a piece of paper, sketch a FBD of rigid bar ABCD. Write an equilibrium equation which relates F1. the force in Bar (1), and F2.
the force in Bar (2). Select the correct equation below. By convention, a tension force is positive, and a compression force is
negative.
Transcribed Image Text:The pin-connected structure shown consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 200 GPa; a = 11.7 x 10-6/°C], with a cross-sectional area of A, = 430 mm?. Bar (2) is an aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C], with a cross-sectional area of A2 = 380 mm2. The bars are unstressed when the structure is assembled. Assume a=380 mm, b=650 mm, c=690 mm, P=35 kN, and L=930 mm. After a concentrated load of P = 35 kN is applied and the temperature is increased by 15°C, determine (a) the normal stresses in bars (1) and (2). (b) the deflection of point D on the rigid bar. L (1) B On a piece of paper, sketch a FBD of rigid bar ABCD. Write an equilibrium equation which relates F1. the force in Bar (1), and F2. the force in Bar (2). Select the correct equation below. By convention, a tension force is positive, and a compression force is negative.
On a piece of paper, sketch a deformation diagram. Based on this diagram, write a geometry-of-deformation equation in terms
of deformations ôị and 82, which are the deformations of Bars (1) and (2), respectively. From the geometry-of-deformation
equation, enter the ratio, ô1 /82.
Transcribed Image Text:On a piece of paper, sketch a deformation diagram. Based on this diagram, write a geometry-of-deformation equation in terms of deformations ôị and 82, which are the deformations of Bars (1) and (2), respectively. From the geometry-of-deformation equation, enter the ratio, ô1 /82.
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