A bar of square cross - section has b ee n subjected to an axial tensile load. A plane normal to the axis of loading will have
For the plane normal to the axis of loading,
Normal stresses of equal magnitude a but of opposite signs act at a point of a strained material in perpendicular direction. What would be the resultant normal stress on a plane inclined at 45° to the applied stresses?
With reference to the following figure, the tangential stress σt on a plane inclined at an angle θ to the line of action of σ1 would be
For an element under the effect of biaxial state of normal stresses, the normal stress on 45° plane is equal to
If the principal stresses on a plane stress problem are σ1 = 100 MPa and σ2 = 40 MPa, then the magnitude of shear stress (in MPa) will be
The state of plane stress at a point is given by σx = 200 MPa, σy = 100 MPa and τxy = 100 MPa. The maximum shear stress (in MPa) is then
Maximum shear stress = 111.8 MPa
Identify the WRONG statement:
Two principal planes carrying the maximum and direct stresses are always perpendicular to each other.
Complimentary shear stresses are
The state of stresses on an element is as shown in following figure.
The necessary and sufficient condition for its equilibrium is
Moment about upper right corner = 0
Moment about lower left corner = 0
At the principal planes
Principal stresses are maximum or minimum normal stresses which may occur on a stressed body. In a 3-D body there may three principal planes which are mutually perpendicular to each other. The plane of principle stresses is called principal plane which always carries zero shear stress.