Question

A rod with cross-sectional area of 100mm² is stretched between two fixed points such that the initial tensile load is 10kN. The rod has a modulus of elasticity equal to 180 GPa and a coefficient of linear expansion of 0.00001m/m-C. The initial tension is designed such that the rod will have zero stress when there is a certain change n temperature of the rod environment. What is the temperature (in C, 2 decimal places)?

Answer 1

Given that,

Cross sectional area of the rod

A= 100mm

Initial Tensile load

P= 10KN

Modulus of Elasticity

E = 180G Pa

Coefficient of linear expansionS

a = .00001m/m-0

Streedue to initials tension which generated because of temperature difference.
σι ΕαΔΤ

AT = 27.770

P ΕαΔΤ A

P ᎪᎢ . AEG

AT 10 X 103 200 x 10-6 x 180 x 109 x 10-5



AT = 27.770