An alloy to be used for a spring application must have a modulus resilience of at least 0.79 x 106 J/m3 (0.79 x 106 Pa). What must be its minimum yield strength (in MPa) ? Assume that the modulus of elasticity for this alloy is 102 GPa

Using Ur=Sig^2/2E, I am getting 401.447E6 Mpa but apparently thats wrong.

Question

Engineering

Quinn Whitney

12 March, 20:41

An alloy to be used for a spring application must have a modulus resilience of at least 0.79 x 106 J/m3 (0.79 x 106 Pa). What must be its minimum yield strength (in MPa) ? Assume that the modulus of elasticity for this alloy is 102 GPa

Using Ur=Sig^2/2E, I am getting 401.447E6 Mpa but apparently thats wrong.

+4

Answers (1)

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Kirby · Answer 1

4.13 MPa

Explanation:

Given

Modulus of elasticity = E = 102 GPa

E = 102 * 10^9

Modulus resilience U = 0.79 * 106Pa

Modulus of Resilience U = y²/2E - - - Make y the subject of formula

y² = 2EU

y = √ (2EU)

y = √ (2 * 102 * 10^9 * 0.79 * 106)

y = √1.708296E13

y = 4133153.759540044

y = 4.13E6

y = 4.13MPa