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3501as2-c10 - be subjected to 50 cycles at 260 MPa 100...

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CGN 3501 Homework Assignment No. 2 Summer 2010 Due Friday, 7/2/10 1. The stress-strain diagram of a structural material is given below. Find the following: (A) Elastic modulus. (B) Johnson’s Apparent Elastic Limit. (C) Yield Strength at 0.1% offset. (D) Modulus of Resilience. (E) Modulus of Toughness. (40 pts.) 0 2 4 6 8 10 12 14 16 18 20 STRAIN (10 -3 ) 50 40 30 20 10 0 STRESS (KSI) 2. The S-N diagram of a structural material is shown below. (A) A structural member made of this material is to be subjected to 100,000 cycles of cyclic stress of 140 MPa during its design life. What is the maximum magnitude of an additional steady stress that can be put on top of the cyclic load without fracture during its design life? Use (a) Soderberg's theory, and (b) Goodman’s theory for this problem. (20 pts.) (B) A structural member made of this material is to
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Unformatted text preview: be subjected to 50 cycles at 260 MPa, 100 cycles at 240 MPa and 500 cycles at 220 MPa per day. Determine the number of days of service before it will fracture according to Minor’s Rule. (20 pts.) 10 10 2 10 3 10 4 10 5 10 6 10 7 300 260 220 180 140 CYCLIC STRESS (MPa) NUMBER OF CYCLES yield = 320 MPa ultimate = 360 MPa yield = 300 MPa ultimate = 360 MPa 3. A steel bar is connected to an aluminum bar as shown below. At 10 C, the stresses in the steel and the aluminum bars are zero. Calculate the stresses in the steel and in the aluminum when the temperature rises to 70 C. The properties of the steel and the aluminum are given below. (2 pts.) Steel E s = 30.0 X 10 6 psi α s = 11.7 X 10-6 / C Aluminum E al = 10.0 X 10 6 psi α al = 22.3 X 10-6 / C 6" 8" Steel Aluminum...
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