The rigid plate is supported by bar (1) and by a double shear pin connection at B. Bar (1) has a length of L1 = 60 in., a cross-sectional area of A1 = 0.47 in.2, an elastic modulus of E = 10,000 ksi, and a coefficient of thermal expansion of α = 13×10−6/°F. The pin at B has a diameter of 0.438 in. After load P has been applied and the temperature of the entire assembly has been decreased by 30°F, the total strain in bar (1) is measured as 570 με (elongation). Assume dimensions of a = 12 in. and b = 20 in. Determine the magnitude of load P.
The rigid plate is supported by bar (1) and by a double shear pin connection at B. Bar (1) has a length of L1 = 60 in., a cross-sectional area of A1 = 0.47 in.2, an elastic modulus of E = 10,000 ksi, and a coefficient of thermal expansion of α = 13×10−6/°F. The pin at B has a diameter of 0.438 in. After load P has been applied and the temperature of the entire assembly has been decreased by 30°F, the total strain in bar (1) is measured as 570 με (elongation). Assume dimensions of a = 12 in. and b = 20 in. Determine the magnitude of load P.
Given Data:
- The load acting at point A is P.
- The length of the bar CD is L1= 60 in.
- The area of cross-section of CD is A1 =0.47 in2.
- The elastic modulus is E =10000 ksi.
- The coefficient of thermal expansion is
- The decrease in temperature is
The tensile load in the bar will be the reaction of the load applied by the bar on the plate. The tensile load can be determined by applying moment balance about point B,
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