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Homework+5 (2)

# Homework+5 (2) - outer radii are 5 mm and 10 mm...

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ME 382 Winter 2010 Homework 4 (Due on Fri, Feb. 12 th 2010) Problem 1. A set of strain gauges on the free surface of a steel structure (with Young's modulus of 196 GPa, Poisson's ratio of 0.30, and yield strength of 850 MPa) record strains of ε xx = 3.0 x 10 -3 , ε yy = -1.5 x 10 -3 and γ xy = 2.0 x 10 -3 . Calculate the safety factor against yield at the surface of this structure, using the von Mises yield criterion. Problem 2. A hollow, circular cylinder is made of an Al alloy with yield stress 180 MPa. It is subjected to a torque of 150 Nm and a compressive load of 12 kN. The inner and
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Unformatted text preview: outer radii are 5 mm and 10 mm, respectively. The Young’s modulus is 70 GPa and the Poisson ratio is 0.33. a) What is the safety factor against yield according to the von Mises yield criterion? b) If the load is changed to tension, what is the new safety factor? Problem 3. Dowling 7.5. 2.98, 3.44 . Problem 4. Dowling 7.8. 495 MPa, 474 MPa . Problem 5. Dowling 7.10. 1.62, 1.64 . Problem 6. Dowling 7.14. 1.64, 1.69 . Problem 7. Dowling 7.18. (a) 1.22, 1.34; (b) 88.5, 84.5 mm ....
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