Drawing Mhor's Circles: Orientation Angles on One Axes

[Gpavankumar]

Dear all, i want to draw the Mhor's circles for various orientation agles on a same axes

 

[berkeman]

Dear all, i want to draw the Mhor's circles for various orientation agles on a same axes

Welcome to the PF.

Your question (if you have one?) is not very clear. Could you please elaborate?

http://en.wikipedia.org/wiki/Mohr's_circle

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[Studiot]

Berkeman is right you haven't given us much to go on

Mohr circles can be used for the angular variation of

Moments/Products of Inertia
Strain at a point
Stress at a point

I am guessing that you are studying the last one so here is the procedure in the attached sketches.

Fig 1
Shows a small square under X axis tension (reckoned +ve) and Y axis compression (reckoned negative).

I have shown in red a plane cutting the square. The normal to this plane makes an angle $$\theta$$₁ with the X axis.
The stresses on this plane are required.

Fig 2

Draw rectangular axes for shear (S_s) and normal (S_n ) stresses.
Plot the point A (S_x , 0) corresponding to the X axis tension with zero shear.
Plot the point B (-S_y , 0) corresponding to the Y axis compression with zero shear. Note that this is negative.

Fig 3

Find the centre, C of the Mohr circle halfway between A and B.
Note this will rarely be the origin.

Fig 4

Draw the Mohr circle with centre C and radius CA or CB.

Fig 5

Draw the diameter through C at angle twice $$\theta$$₁ to the S_n axis, meetiong the circle at D and E.
Read off the shear and normal stresses for D. These are the required values.

Fig 6

As you requested I have plotted a different angle, $$\theta$$₂ , corresponding to a different angle of cutting plane on the same diagram.
The circle, of course, shows all such angles.

go well