Compute the intensity of normal stress - mohr circle, Mechanical Engineering

Compute the intensity of normal stress:

A uniform steel bar of 2 cm × 2 cm area of cross section is subjected to axial pull of 40000 kg. Compute the intensity of normal stress, shear stress and resultant stress on plane normal to which is inclined at 30° to axis of bar. Solve problem graphically by drawing Mohr Circle.

Sol.: Given that:

Load applied 'P'= 4000 × 9.8 = 39.2 kN
σx= 39.2/(2 × 10-2)2  

= 98MN/m2
456_Compute the intensity of normal stress.png 
Steps to draw Mohr's circle.

Step1: Take the origin O and draw a horizontal line OX.

Step2: The cut off OA equal to σx by taking the scale

1 mm = 1MN/m2
257_Compute the intensity of normal stress1.png 
Step 3: Bisect OA at point C

Step 4: Having C as centre and radius CA draw circle.

Step 5: At point C draw a line CP at an angle 2θ with OX meeting circle. At point P (θ is angle made by oblique plane with the minor principle stress, here zero).

Step 6: Through point P draw perpendicular to OX, it intersect OX at point Q, join OP. Measure OQ, PQ and OQ as σ, τ and σr respectively. Thus;

Normal stress on plane σ = OQ = 73.5 × 1 = 73.5MN/m2

Tangential or shear stress on plane τ = PQ = 43 × 1 = 43 MN/m2

And Resultant stress σr = OP = 85 × 1 = 85 MN/m2.

Posted Date: 10/23/2012 3:22:05 AM | Location : United States

Related Discussions:- Compute the intensity of normal stress - mohr circle, Assignment Help, Ask Question on Compute the intensity of normal stress - mohr circle, Get Answer, Expert's Help, Compute the intensity of normal stress - mohr circle Discussions

Write discussion on Compute the intensity of normal stress - mohr circle
Your posts are moderated
Related Questions
Thin uniform wire bent - centre of gravity: Find out the C. G. of the thin uniform wire bent into shape ABC as illustrated in Figure. Solution Assume G be the loc

An air refrigerator operates between the pressure limits of 1 bar and 5 bar. The temperature of the air entering the compressor and expansion cylinder are 15 o C and 25 o C respect

An inside cylinder locomotive has its cylinder centre lines 0.70m apart and has a stroke of 0.60m. Rotating mass per cylinder = 150kg Distance between wheel Centre lines = 1.

Determine the analytical solution for the maximum stress of the beam shown; compare with stress results from SolidWorks. Draw shear and moment diagrams and print them from the beam

A loaded structural component, shown in Fig Q7, is manufactured from sheet steel having a Young's modulus, E = 208000 MPa and a Poisson's ratio, n = 0.3. The sheet steel is 2 mm th

A centrifugal clutch is to be prepared to transmit 15 KW at 900 r.p.m. The shoes are four in number. The speed at which the engagement begins is 3/4 th of the running speed. The in

This project involves a test of the basic idea behind the bootstrap method. Essentially you will write a program that: 1. Generates a parent population of size 100,000 whose dis

Welding Head Submerged arc welding head consists of the wire spool, wire feed system, flux delivery hopper and electrical contact nozzle. The electrode wire is unwound from the s

how to prove that heat and work is path function?

Q. Show Piping Material Specifications? Piping Material Specifications include the development and / or review of material specifications, and the review of data sheets, materi