Maximum Shear Stress Theory

A cantilever beam of T cross-section carries uniformly distributed load. Where does the maximum magnitude of the bending stress occur?

In a direct shear test, the shear strength and normal stress on a dry sand sample at failure are 0.6 kg/cm² and 10 kg/cm², respectively. The angle of internal friction of the sand will be nearly

Given below are two statements:
Statement - I: Rate of change of shear force (f) at any section of a loaded beam is equal to the Rate of Loading (w) at the section i.e.
Statement - II: Rate of change of bending moment at any section of a loaded beam represent the shear force (F) at the section is
In the light of the above statements, choose the correct answer from the options given below :

Match List I with List II

List I		List II
A.	Shear force (unit)	I.	Newton/Area
B.	Stress	II.	Newton
C.	Stain	III.	Lateral Stain / Axial Stain
D.	Poisson Ration (N)	IV.	Change in length / Actual length

Choose the correct answer from the options given below :

Given below are two statements:
Statement - I: The maximum shear stress ( q max ) for a rectangular section is 3/2 times average shear stress.
Statement - II: The maximum shear stress ( q max ) for a circular section is 4/3 times the average shear stress.
In the light of the above statements, choose the correct answer from the options given below :

For the design of a cast iron member, the most appropriate theory of failure is

According to maximum Shear stress failure theory, yielding occur in the material when