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Unformatted text preview: MSE 2610 Introduction to the Mechanical Properties of Materials Fall 2008 Homework Solutions #1 1.) Given the graph below provide the following information: Stress ( ) Strain ( ) a.) Which material is the stiffest? Explain - Material C is the stiffest because the linear elastic regime has the largest slope b.) Which material is most ductile? Explain. - Material B is the most ductile because it has the greatest strain, also called elongation, before failure c.) Which material is most brittle? Explain. - Material D is the most brittle because it has the smallest strain or elongation before failure d.) Which material is strongest? Explain. - Material A is the strongest because it most strongly resistant to plastic deformation. In other words, Material A requires the highest stress to cause permanent shape change. e.) Which material is toughest? Explain. - Material B is the toughest because it absorbs the most energy in this stress-strain test. The area under the strain-strain curve is the largest. 2.) A tensile load of 5000 kg is placed along the long axis of the cylinder at right. The bar is made from ASTM 1020 steel with a Youngs Modulus of 207 GPa, a yield strength of 300 MPa, and a Poissons ratio of 0.29. a.) Calculate the normal stress on the bar in MPa. - Convert the weight into newtons and divide by the cross-sectional area of the bar: MPa 24 . 6 ) m 05 . ( ) s / m 8 . 9 )( kg 5000 ( r mg 2 2 2 = = b.) Assign a coordinate system, draw and label the principal stress state for an arbitrary point in the bar....
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- Fall '06