Two wires of the same length and material but of different radii are suspended from a rigid support.Both carry the same load.Will the stress,strain and extension in them be same or different?

Two wires of the same length and material but of different radii are s

1.	Two wires of the same length and material but of different radii are suspended from a rigid support.Both carry the same load.Will the stress,strain and extension in them be same or different?
Answer» Solution :(a)Stress=`F//pi r^2` for the same load F stress is DIFFERENT for different radii. (b)`Y=FL//A` delta L,Strain,` delta L//L=F//AY=F//pi r^2Y` so strain also be different.(c)Elongation `delta L=FL//pi r^2Y,delta L PROP 1//r^2` for a fixed F,L,Y so elongation will not be the same., Hence stress strain and extension area all different for the two WIRES.