Expression for normal and shear stress, Mechanical Engineering

Expression for normal and shear stress:

Derive expression for normal and shear stress on the plane AE inclined at an angle B with AB subjected to the direct stresses of compressive nature (both) of σx and  σy on 2 mutually

perpendicular stresses as shown in the figure given below.
 
Sol.: Consider unit thickness of element. Applying the equations of equilibrium to free body diagram of wedge ABE.

1122_Expression for normal and shear stress.png

Let σn and  τ be normal and shear stresses on plane AE.
67_Expression for normal and shear stress1.png 
By multiplying the equation (iii) by sin θ, (iv) by cos θ and subtracting
505_Expression for normal and shear stress2.png 
Also by multiplying equation (iii) by cos θ and 4 by sin θ and then adding.
1161_Expression for normal and shear stress3.png

Posted Date: 10/23/2012 3:06:58 AM | Location : United States







Related Discussions:- Expression for normal and shear stress, Assignment Help, Ask Question on Expression for normal and shear stress, Get Answer, Expert's Help, Expression for normal and shear stress Discussions

Write discussion on Expression for normal and shear stress
Your posts are moderated
Related Questions
Compare the hardenability of Ferrous Alloys vs Non-Ferrous Alloys

Explain the Screed unit The main screed is pivoted at the centre point of the machine to assure a constant flatness of work on uneven grounds. It consists of 2440 mm main scree

with the aid of a diagram explain electrochemical grinding

help write the matlab code desired: The sine function can be evaluated by the following infinite series as (where the angle x is given in radians): xsinx = x-(x^3)/3! + (x^5)/5! -

Explain Extension of screw conveyor by hydraulic cylinder "Extension of screw conveyor with the help of linkage arrangement by hydraulic cylinder and hinged joint" Procedur


Following sets of the three forces act on a body,. In which case resultant cannot be zero? 1) 10N, 10N, 10N 2)10N, 10N, 20N 3)10N, 20N, 20N 4010N, 20N, 40N Ans)      In 4th

GMAW POWER SOURCE A power source wit h a flat characteristics is almost universally used for GMAW process as it provides self adjustment and stabilisation of the arc. Also it m

Determine Mean coil radius - close coiled helical spring:  A close coiled helical spring contains a stiffness of 1 kN/m in compression to a maximum load of 50 N and a maximum

Q. Show PMI testing of alloy materials? Suppliers and Construction Subcontractors are required to verify or conduct PMI testing of alloy materials that they procure and use and