Longitudinal Stress

Match the following columns. {:(,"Column I",,"Column II"),((A),"Longitudinal stress",(p),"Volume changes"),((B),"Shear stress",(q),"Shape change"),((C),"Volumetric stress",(r),"Volume does not changes"),((D),"Tensile stress",(s),"Shapes does not change"):}

Two forces F_(1) and F_(2) are applied at the ends of a metal rod of Yougn's Modulus Y , length l as shown. Longitudinal stress at the given cross-section PQ if the cross-section of the rod is A_(0) and tension is T

In the figure shown, A and B are two short steel rods each of cross-sectional area 5 cm^(2) . The lower ends of A and B are welded to a fixed plate CD . The upper end of A is welded to the L -shaped piece EFG , which can slide without friction on upper end of B . A horizontal pull of 1200 N is exerted at G as shown. Neglect the weight of EFG . Longitudinal stress in A is

In the figure shown, A and B are two short steel rods each of cross-sectional area 5 cm^(2) . The lower ends of A and B are welded to a fixed plate CD . The upper end of A is welded to the L -shaped piece EFG , which can slide without friction on upper end of B . A horizontal pull of 1200 N is exerted at G as shown. Neglect the weight of EFG . Longitudinal stress in B is

A metal rod if fixed rigidly at two ends so as to prevent its hermalexpension. If L, alpha Y respectively denote the length of the rod , coefficeent of linear thermal expension and Young's modulus of its material, then for an increase in temperature of the rod by Delts T, the longitudinal stress developed in the rod is

A rod PQ of mass, area of cross section A, length l and young's modulus of elasticity Y is lying on a smooth table as shown in figure. A force Fis applied at P. Find (a) tension at a distance x from end P, (b) longitudinal stress at this point, (c) total change in length and (d) total strain the rod.

The fundamental frequency ofa 1.5 m long, stretched steel wire is 175 Hz. The density of steel is 7.8 xx 10^(3)kg//m^(3) .(i) Find the speed of transverse waves in the wire. (ii) Calculate the longitudinal stress ofthe wire, (iii) Ifthe tension in the wire is increased by 3%, calculate the percentage change in the frequency ofthe wire.

Elasticity: Longitudinal, Shear, Volumetric stress and strain | Elongation of rod under own weight Thermal stress | Elastic energy | Torsion