For a brass alloy, the stress at which plastic deformation begins is 345 mpa (50,000 psi), and the modulus of elasticity is 103 gpa (15.0 ×106 psi). (a) what is the maximum load that may be applied to a specimen with a cross-sectional area of 130 mm2 (0.2 in2 ) without plastic deformation? (b) if the original specimen length is 76 mm (3.0 what is the maximum length to which it can be stretched without causing plastic deformation?

a) P = 44850 N

b)

Explanation:

Given:

Cross-section area of the specimen, A = 130 mm² = 0.00013 m²

stress, σ = 345 MPa = 345 × 10⁶ Pa

Modulus of elasticity, E = 103 GPa = 103 × 10⁹ Pa

Initial length, L = 76 mm = 0.076 m

a) The stress is given as:

on substituting the values, we get

or

Load, P = 44850 N

Hence the maximum load that can be applied is 44850 N = 44.85 KN

b)The deformation () due to an axial load is given as:

on substituting the values, we get

or

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