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Mechanical Properties Of Fluids

Question
CBSEENPH11019975

A piece of copper having a rectangular cross-section of 15.2 mm × 19.1 mm is pulled in tension with 44,500 N force, producing only elastic deformation. Calculate the resulting strain?

Solution
Length of the piece of copper, l = 19.1 mm = 19.1 × 10–3 m
Breadth of the piece of copper, b = 15.2 mm = 15.2 × 10–3 m
Area of the copper piece, A = l × b
             
                     = 19.1 × 10–3 × 15.2 × 10–3

                                   = 2.9 × 10–4 m2

Tension force applied on the piece of copper, F = 44500 N
Modulus of elasticity of copper, η = 42 × 109 N/m2

Modulus space of space elasticity comma space straight eta space equals space Stress over strain

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rightwards double arrow space Strain space space equals space straight F over Aη
space space space space space space space space space space space space space space space space space space equals fraction numerator space 44500 space over denominator left parenthesis 2.9 space cross times space 10 to the power of negative 4 end exponent space cross times space 42 space cross times space 10 to the power of 9 right parenthesis end fraction space

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