Answer:
a) 42.422 KN
b) 44.356 KN
Explanation:
Given data :
Diameter = 20 mm
yield strength = 350 MN/m^2
Torque ( T ) = 100 N.m
Bending moment = 150 N.m
<u>Determine the value of the applied axial tensile force when yielding of rod occurs </u>
first we will calculate the shear stress and normal stress
shear stress ( г ) = Tr / J = [( 100 * 10^3) * 10 ] /
* ( 20)^4
= 63.662 MPa
Normal stress( Гb + Гa ) = MY/ I + P/A
= [( 150 * 10^3) * 10 ] /
* ( 20)^4 + 4P /
= 190.9859 + 4P /
MPa
<u>a) Using MSS theory </u>
value of axial force = 42.422 KN
solution attached below
<u>b) Using MDE theory </u>
value of axial force = 44.356 KN
solution attached below
Answer:
The Bauschinger effect is the directionally determined change in the elasticity limit of a metal or alloy after primary plastic deformation. If you first deform a metal in one direction so that it is plastically deformed and then deform it in the opposite direction, the elastic limit in the opposite direction is lower.
From the point of view of the dislocation mechanism of plastic deformation, the Bauschinger effect indicates that during repeated deformation, it is easier for dislocations blocked in front of obstacles to move in the direction opposite to their movement during preliminary plastic deformation.