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
Q. Show Maximum Allowable Working Pressure? The MAWP to be marked on the Section VIII nameplate is defined as the maximum gauge pressure permissible at the top of a completed v

Determine moment of this normal force - rectangular beam: A rectangular beam contains a width of 100 mm and a depth of 200 mm. This is utilized as a simply supported beam & th

Ancillary Railway Structures: Overhead Transmission Lines When the line is electrified, the electric loco has to pick up the electric current from a cable that runs

Transverse Wave Stretched String As a typical example of wave motion in one-dimension, let us consider the transverse harmonic waves on a long, taut string. We assume that in e

The input-output curve of a 60 MW power station is provided by : I = 10 6 [8 + 8L + 0.4L 2 ] Kcl/hour where I is the input in the Kcal/hour and L is the load in MW. (a) Ev

I have an assignment on kinematic chains.I have to tell the type of chain whether it is locked,constrained or unconstrained?? I am facing problem in counting number of joints,pair

Explain the function of the foundation The function of the foundation is to ensure that the loads on the super structure are transmitted to the soil below the foundation withou

A system consisting of 2kg of R-134a undergoes a cycle composed of the following processes: Process 1-2: constant volume from P1= 10 bar, x1=0.6 to saturated vapor. process 2-3 con

Upset butt welding machines These are usually small capacity horizontal type machines. The power source required for these is a step down transformer as in the case of spot, se

Gathering Lines: A gathering line, also called a ladder track, is one into which a number of parallel tracks merge. This is shown in Figure. It is used in marshalling yards.