Home
Class 12
PHYSICS
A copper rod is fixed between two suppor...

A copper rod is fixed between two supports. Its temperature was raised by `50^@C`. What is the resulting stress in the rod? 

Text Solution

Verified by Experts

The correct Answer is:
`1.3xx10^8` pa
In the specified temperature range the relative change in length is proportional to the change in temperature: `epsilon = Deltal//l = alpha Delta t`. From Hooke.s law `sigma = E epsilon = E alpha Delta t`.
Promotional Banner

Similar Questions

Explore conceptually related problems

A rod of aluminium is fixed between two rigid support. If the temperature of rod is increased by 10°C , then the thermal stress on the rod is (Take Y= 7×10^10 Pa and alpha =2.4* 10^-5 K^-1 )

A unifrom rod is fixed at one end to a rigid support, its temperture is gradually increased the representaion of graph strain (e) versus increment in temperature Delta theta is

A metal rod of Young's modules Y and coefficient of thermal expansion alpha is held at its two ends such that its length remains constant. If its temperature is raised by t^(@)C , the linear stress developed in it is

Two rods of equal cross sections, one of copper and the other of steel, are joined to form a composite rod of length 2.0 m at 20^@C , the length of the copper rod is 0.5 m. When the temperature is raised to 120^@C , the length of composite rod increases to 2.002m. If the composite rod is fixed between two rigid walls and thus not allowed to expand, it is found that the lengths of the component rods also do not change with increase in temperature. Calculate Young's moulus of steel. (The coefficient of linear expansion of copper, alpha_c=1.6xx10^(-5@)C and Young's modulus of copper is 1.3xx10^(13)N//m^(2) ).

STATEMENT - 1 : A metallic rod is clamped between two fixed support. The rod is heated but not allowed to bend. Tensile stress is developed in it. STATEMENT - 2 : A metallic rod is fixed between two rigid supports. The rod is heated. The strain produced in the rod is ZERO because there is no change in length STATEMENT - 3 : The practical value of Poisson's ratio lies between 0 and 0.5.

A metal rod of Young's modulas F and coefficient of thermal expansion alpha is held at its two ends such that its length remians invariant. If its temperature is raised by t^(@)c , then the linear stress developed in it is

In the given figure, a rod is free at one end and other end is fixed. When we change the temperature of rod by Deltatheta , then strain produced in the rod will be

A metal rod (Y+2xx10^(12)"dyne"(cm)^(-2)) of coefficient of linear expansion 1.6xx10^(-5) per .^(=)C has its temperature raised by 20^(@)C . The linear compressive stress to prevent the expansion of the rod is