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A sign (mass 2500 kg ) hangs from the end of a vertical steel girder with...

A sign (mass 2500 kg ) hangs from the end of a vertical steel girder with a cross-sectional area of 0.017 m2 . Ignore the mass of the girder itself. The elastic modulus for steel is 2.0×1011N/m2. What is the stress within the girder? What is the strain on the girder? If the girder is 8.50 m long, how much is it lengthened?

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Answer #1

Modulus of Elasticity for Steel =2.0*10^11N / m^2 = 200 * 10^9 N / m^2


(a) What is the stress within the girder?

stress = Force / cross -sectional area = (2500*9.81) / 0.017 = 1442647.059 N / m^2.............ans


(b) What is the strain on the girder?
Strain = Stress / Young's modulus = (1442647.059) / ( 200* 10^9) = 7.2132* 10^-6...............ans

c) If the girder is 8.50 m long, how much is it lengthened?
elongation = strain x length = 7.2132* 10^-6* 8.50 = 6.13122*10^-5 m ...ans

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