Tensile Full

June 3rd, 2005

Tensile Full
Physics youngs modulus?

a 50 kg chandelier is hung from the ceiling by an aluminum wire 2m long. a.)the tensile stress of al is 200 x 10^6 N/m, fing the minimum diameter of wire needed to support the chandelier. b.)when the full weight of chandelier pulls the wire, by how much does it strectch? 70 GN/m^2 for al youngs modulus. does this stretch seem reasonable

stress = force/area. to find minimum area plug in the tensile stress for stress and the weight of the chandelier (50 * 9.8) for force and solve for area. this gets you the minimum cross section. the stretch equation is: stretch = (force * length) / (Young’s modulus * area). you solved for area in the first part, so just plug and chug the numbers. Then you could see if the stretch is reasonable for the application. it will be tiny so yes.

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