Evaluate the normal and tangential stresses, Mechanical Engineering

Assignment Help:

Evaluate the normal and tangential stresses:

Q. 20: At the point in stressed body, the principal stresses are σx = 80 kN/m2 and σy = 40 kN/m2. Determine the normal and tangential stresses on planes whose normal are at 30° arid 120° with  x axis by using Mohr's stress circle Method.


Sol.:

 

510_Evaluate the normal and tangential stresses.png

Steps:

1. Taking origin at the O draw axes.

2. Cut off OA  =  σx

 = 80 kN/m2 and OB  = -σy

 = -40 kN/m2. Let us choose a suitable scale, say

1 mm = 2 kN/m2

3. Bisect AB  at C.

4. With C as centre and CA as radius, draw a circle that is Mohr's circle.

5. At point C draw straight line CP making an angle 2θ = 60º with CX.

6. From P draw the perpendicular to OX to intersect at point Q.

7. Then OQ = σ and PQ =  τ

It is found σ = 50 kN/m2 

and  τ = 52kN/m2 .......ANS

Likewise, at point C draw a straight line, CP making an angle 2θ = 240° with CX. From P′ draw  the perpendicular to OX to intersect at Q′. Then

OQ′ = σ = -10kN/m2    and P′ Q′-52 kN/m2 .......ANS


Related Discussions:- Evaluate the normal and tangential stresses

Find out force on each member - truss, Find out force on each member - Trus...

Find out force on each member - Truss: A truss is as shown in the figure given below. Find out force on each member and the nature of it.  Sol.: First we calculate sup

Lifting machine, all information about lifting machine

all information about lifting machine

Feedwater controls for steam generator, Q. Feedwater Controls for Steam gen...

Q. Feedwater Controls for Steam generator? associated with that Steam Generator. The flow controllers utilize regular P.I.D. controllers, and their outputs are fed directly to

Discuss relative demerits and merits of belt, Discuss relative demerits and...

Discuss relative demerits and merits of belt, rope and chain drive for transmission of power and find the condition for transmitting the maximum power in a flat belt drive.

Describe loose piece pattern, Loose piece pattern This type of pattern ...

Loose piece pattern This type of pattern is also used when the contour of the part is such that withdrawing the pattern from the mould is not possible. Hence during moulding th

determine the minimum cross section area of graph, To design a cantilevere...

To design a cantilevered truss to support the loads shown in the figures, two layouts are proposed as shown in Figs. A and B. All truss members are steel with allowable stress of 2

Engine, maximum rpm at engine

maximum rpm at engine

Purpose of corrosion assessment design, Q. Purpose of Corrosion assessment ...

Q. Purpose of Corrosion assessment design? The purpose of this design guide is to ensure that Material Selection for Steam Assisted Gravity Drainage (SAGD) projects is carried

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