procedure to tackle stresses on inclined planes

**Stresses on
inclined plane**

Stresses on inclined plane

**procedure to tackle stresses on inclined
planes**

**STEPS:**

In order to do achieve the desired objective
we proceed in the following manner

(i)
Label the Block
ABCD.

(ii)
Set up axes for
the direct stress (as abscissa) and shear stress (as ordinate)

(iii)
Plot the stresses
on two adjacent faces e.g. AB and BC, using the following sign convention.
Direct stresses tensile positive; compressive, negative

Shear stresses - tending to turn
block clockwise, positive

- tending
to turn block counter clockwise, negative

[ i.e shearing stresses are +ve when its
movement about the centre of the element is clockwise ]

This gives two points on the graph which may than be labeled as respectively to denote stresses these planes.

(iv) Join AB
and BC

(v) The point P where this line cuts the s axis is than the centre of Mohr's stress circle and the li joining AB and BC is diameter. Therefore the circle can now be drawn.

Now every point on the circle then represents
a state of stress on some plane through C.

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