Question

For a bronze alloy, the stress at which plastic deformation begins is 274 MPa and the modulus of elasticity is 118 GPa. (a) What is the maximum load that may be applied to a specimen having a cross-sectional area of 316 mm2 without plastic deformation? (b) If the original specimen length is 132 mm, what is the maximum length to which it may be stretched without causing plastic deformation?

Answer 1

86584N

132.306 mm

Step-by-step explanation:

Q = 274

Modulus of elasticity = 118 gpa

1.

Area = 316mm² without plastic deformation

F = QA

= 274x10⁶x316x10^-6

= 274000000 x 0.000316

= 86584 N

This is the maximum load.

2.

Max length =

L = 132(1 + 274x10⁶/118x10⁹)

L = 132(1+274000000/118000000000)

L = 132(1+0.002322)

L = 132(1.002322)

L = 132.306

This is the maximum length to which it may be stretched without causing plastic deformation.