Rigid bar ABCD is loaded and supported as shown. Bars (1) and (2) are unstressed before the load P is applied. Bar (1) is made of bronze [E = 100 GPa] and has a cross-sectional area of 580 mm². Bar (2) is made of aluminum [E = 70 GPa] and has a cross-sectional area of 950 mm². After the load P is applied, the force in bar (2) is found to be 16 kN (in tension). Assume a = 0.3 m, b = 1.0 m, c = 0.6 m, L₁= 0.5 m, and L₂= 0.9 m. Determine (a) the stresses in bars (1) and (2). By convention, tensile stresses are positive and compressive stresses are negative. (b) the vertical deflection of point A. The vertical deflection is positive if downward and negative if upward. (c) the load P.

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
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Rigid bar ABCD is loaded and supported as shown. Bars (1) and (2) are unstressed before the load P is applied. Bar (1) is made of bronze
[E = 100 GPa] and has a cross-sectional area of 580 mm². Bar (2) is made of aluminum [E = 70 GPa) and has a cross-sectional area of
950 mm². After the load P is applied, the force in bar (2) is found to be 16 kN (in tension). Assume a = 0.3 m, b = 1.0 m, c = 0.6 m, L₁= 0.5
m, and L₂ = 0.9 m. Determine
(a) the stresses in bars (1) and (2). By convention, tensile stresses are positive and compressive stresses are negative.
(b) the vertical deflection of point A. The vertical deflection is positive if downward and negative if upward.
(c) the load P.
L
Answers:
(a) σ₁ =
02 =
(b) VA=
(c) P=
Mi
i
Mi
Mi
B
(1)
d
b
2
MPa
MPa
mm
kN
С
L2
Transcribed Image Text:Rigid bar ABCD is loaded and supported as shown. Bars (1) and (2) are unstressed before the load P is applied. Bar (1) is made of bronze [E = 100 GPa] and has a cross-sectional area of 580 mm². Bar (2) is made of aluminum [E = 70 GPa) and has a cross-sectional area of 950 mm². After the load P is applied, the force in bar (2) is found to be 16 kN (in tension). Assume a = 0.3 m, b = 1.0 m, c = 0.6 m, L₁= 0.5 m, and L₂ = 0.9 m. Determine (a) the stresses in bars (1) and (2). By convention, tensile stresses are positive and compressive stresses are negative. (b) the vertical deflection of point A. The vertical deflection is positive if downward and negative if upward. (c) the load P. L Answers: (a) σ₁ = 02 = (b) VA= (c) P= Mi i Mi Mi B (1) d b 2 MPa MPa mm kN С L2
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