The stressstrain diagram for a metal alloy having an origina

The stress-strain diagram for a metal alloy having an original diameter of 0.7 in, and a gauge length of 2 in, is given in the figure below. Determine approximately the modulus of elasticity for the material. Express your answer to three significant figures and include the appropriate units. Determine the load on the specimen that causes yielding. Express your answer to three significant figures and include the appropriate units. Determine the ultimate load the specimen will support. Express your answer to three significant figures and include the appropriate units.

Solution

part a) young modulus E=stress/strain upto yield point

=60/0.1=600 ksi

part b)area=.7854 x0.7²=(pi/4)d²=0.3848 m²

^{from graph yield stress=60 ksi}

yield stress=force /area

force=23.09 klb

part c) from graph ultimate stress=102 ksi

ultimate load=ultimate stress xarea

=39.2496 klb