10. The rigid bar below is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of A₁ = 275 mm², an elastic modulus of E = 200 GPa, and a coefficient of thermal expansion of a = 11.9x 10/°C. The pin at C has a diameter of 30 mm. After load P has been applied and the temperature of the entire assembly has been increased by 31°C, the total strain in bar (1) is measured as 975 μe (elongation). Determine: (a) the magnitude of load P. (b) the shear stress in pin C.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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10. The rigid bar below is supported by axial bar (1) and by a pin connection at C. Axial bar
(1) has a cross-sectional area of A₁ = 275 mm², an elastic modulus of E = 200 GPa, and a
coefficient of thermal expansion of a = 11.9x 106/°C. The pin at C has a diameter of 30
mm. After load P has been applied and the temperature of the entire assembly has been
increased by 31°C, the total strain in bar (1) is measured as 975 μe (elongation).
Determine:
(a) the magnitude of load P.
(b) the shear stress in pin C.
275 mm
Connection
detail
(1)
Rigid bar
540 mm
135 mm
260 mm
Transcribed Image Text:10. The rigid bar below is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of A₁ = 275 mm², an elastic modulus of E = 200 GPa, and a coefficient of thermal expansion of a = 11.9x 106/°C. The pin at C has a diameter of 30 mm. After load P has been applied and the temperature of the entire assembly has been increased by 31°C, the total strain in bar (1) is measured as 975 μe (elongation). Determine: (a) the magnitude of load P. (b) the shear stress in pin C. 275 mm Connection detail (1) Rigid bar 540 mm 135 mm 260 mm
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