Expression for normal and shear stress, Mechanical Engineering

Assignment Help:

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


Related Discussions:- Expression for normal and shear stress

Describe about consumable electrode, Q. Describe about consumable electrode...

Q. Describe about consumable electrode? This type of electrode is prepared from metal. Its one end is kept in electrode holder and then electric supply is passed through it. Th

Orthographic assembly drawing, Orthographic assembly drawing: On MyUni...

Orthographic assembly drawing: On MyUni (and shown above)  there is a figure of a small  partially assembled single-cylinder 2-stroke engine  that you need  to model. Drawings

Design, Hi I am new tutor here Pankaj kumar I got the mail for the verif...

Hi I am new tutor here Pankaj kumar I got the mail for the verification and i regitered now . But how can i get the sample assignment for the further process.

IDE101, Polygon law of forces

Polygon law of forces

Thermodynamics, Problem specification 5 kg of air is contained in a piston-...

Problem specification 5 kg of air is contained in a piston-cylinder device, initially at a pressure of 2MPa and a specific volume of 0.08m3/kg. The air then expands, as an ideal ga

Compute the angular velocity of the wheel, Compute the angular velocity of ...

Compute the angular velocity of the wheel: A wheel of 0.5 m radius rolls over a horizontal surface without slipping as illustrated in Figure (a). The velocity of its centre is

Determine acceleration of weight, Determine acceleration of weight: Tw...

Determine acceleration of weight: Two pulleys of radii 200 mm and 400 mm are mounted co-axially and rigidly on a common-shaft. These pulleys have a overall mass of 28 kg an

Operation research, what are the significance and scope of operations resea...

what are the significance and scope of operations research

Arc blow, ARC BLOW In certain cases depending upon where the return pa...

ARC BLOW In certain cases depending upon where the return path connections are given for the arc current, the arc may be deflected towards a direction of weaker electro magnet

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd