A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a = 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.2. The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 61 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1).
A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a = 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.2. The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 61 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Step 1: Introduction of solution
VIEWStep 2: Data given for bar 1 and bar 2
VIEWStep 3: Assume bar 1 force As F and calculation of force in bar 2 in terms of F
VIEWStep 4: Calculation of elongation of bar 1 and bar 2 in terms of F inches
VIEWStep 5: Rigid bar ABCD deflection relationship between B and D
VIEWStep 6: Now final calculation of Normal force F in bar 1
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