Principal planes and principal stresses, Mechanical Engineering

Principal Planes and Principal Stresses:

Define the Principal Planes and Principal Stresses.
Sol.:
When an element in strained body is under action of plane stresses, it is found that there exist 2 mutually perpendicular planes of element on which normal stresses are maximum and minimum and no shear stress is acting on these planes. These planes are called as principal planes.

From the figure given below; the principle planes is determined by
1303_Principal Planes and Principal Stresses.png 
As shear stress on these plane is zero, thus they are also called as shear free plane.

The maximum and minimum principal stresses which are acting on principal planes are called as principal stress.
1255_Principal Planes and Principal Stresses1.png 
The principal stress which is having maximum value is called as "major principal stress" and principal stress having minimum value is called as "minor principal stress".
145_Principal Planes and Principal Stresses2.png 
Where  σx,  σy be direct stresses in  x and y direction and   σxy be the shear stress normal to xy plane.

Resultant stress can be given as follows
1391_Principal Planes and Principal Stresses3.png

Posted Date: 10/23/2012 2:56:07 AM | Location : United States







Related Discussions:- Principal planes and principal stresses, Assignment Help, Ask Question on Principal planes and principal stresses, Get Answer, Expert's Help, Principal planes and principal stresses Discussions

Write discussion on Principal planes and principal stresses
Your posts are moderated
Related Questions
A Double shoe brake is capable of absorbing a torque of 1400 N-m. The diameter of the brake drum is 350 mm and the angle of contact for each shoe is 100 o . if the coefficient of f

Q. Mechanical design of the blowdown systems? Mechanical design of the blowdown systems shall be sized for a continuous blowdown of a minimum of 1.0% of MCR. Fabricator may re

Dynamic Magnifier: This is function of frequency ratio. Forced Vibration: While the system is continuously excited by an external force or internally produced force, the v

Commutator The function of a commutator is to change alternating current induced in the armature into unidirectional current. The commutator is of cylindrical shape and is made


A chemical works produces an aqueous effluent at above ambient temperature. The Environmental Agency insists that before the effluent is discharged to the river, it must be cooled.

If crankshaft oil seal seating area found ok : Replace with a new oil seal and ensure the seal seats in the stator plate properly and while fixing the stator plate ensure using sta

An experiment to determine the convection coefficient associated with airflow over the surface of a thick stainless steel casting involves insertion of thermocouples in the casting

i want c language programmes for all force systems?

Beam Finite Element Method: Design the finite element model of the beam subjected to combined loading by using the minimum number of Euler-Bernoulli beam elements as shown in