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n A vertical steel beam in a building supports a load of 6.0 10 4 N. (a) If the

ID: 2252397 • Letter: N

Question

nA vertical steel beam in a building supports a load of 6.0 104 N. (a) If the length of the beam is 4.0m and its cross-sectional area is 8.0 10-3 m2 , find the distance of the beam is compressed along its length. (b) What maximum load in newtons could the steel beam support before failing? nA vertical steel beam in a building supports a load of 6.0 104 N. (a) If the length of the beam is 4.0m and its cross-sectional area is 8.0 10-3 m2 , find the distance of the beam is compressed along its length. (b) What maximum load in newtons could the steel beam support before failing?

Explanation / Answer

young's modulus of steel= 200 *(10^9) Pa

young's modulus = Force*Initial length/(Cross section area* compression)

200 *(10^9) = 6.0 * 10^4/ (8*10^-3 * compression)

compression = 0.0000375 m = 0.0375 mm

b) Ultimate stress = 841 *10^6 Pa

Stress = load/area

841 *10^6 = load /8.0