A steel bar AD has a cross-sectional area of 0.40 in. 20.40 in. 2 and is loaded by forces P1=2700 lbP1=2700 lb, P2=1800 lbP2=1800 lb, and P3=1300 lbP3=1300 lb. The lengths of the segments of the bar are a=60 in., b=24 in., and c=36 in. (a) Assuming that the modulus of elasticity E=E=30×10630×106 psi, calculate the change in length δδ of the bar. Does the bar elongate or shorten? (b) By what amount P should the load P3P3 be increased so that the bar does not change in length when the three loads are applied?
A steel bar AD has a cross-sectional area of 0.40 in. 20.40 in. 2 and is loaded by forces P1=2700 lbP1=2700 lb, P2=1800 lbP2=1800 lb, and P3=1300 lbP3=1300 lb. The lengths of the segments of the bar are a=60 in., b=24 in., and c=36 in. (a) Assuming that the modulus of elasticity E=E=30×10630×106 psi, calculate the change in length δδ of the bar. Does the bar elongate or shorten? (b) By what amount P should the load P3P3 be increased so that the bar does not change in length when the three loads are applied?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A steel bar AD has a cross-sectional area of 0.40 in. 20.40 in. 2 and is loaded by forces P1=2700 lbP1=2700 lb, P2=1800 lbP2=1800 lb, and P3=1300 lbP3=1300 lb. The lengths of the segments of the bar are a=60 in., b=24 in., and c=36 in. (a) Assuming that the modulus of elasticity E=E=30×10630×106 psi, calculate the change in length δδ of the bar. Does the bar elongate or shorten? (b) By what amount P should the load P3P3 be increased so that the bar does not change in length when the three loads are applied?
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