The stressstrain diagram for an aluminum alloy specimen

Problem 3-10The stress strain diagram for an aluminum alloy specimen having an original diameter of 0.5 in.and a gage length of 2 in. is given in the figure. Determine approximately the modulus ofelasticity for the material, the load on the specimen that causes yielding, and the ultimate loadthe specimen will support. Step-by-step solution Step 1 of 3 Calculate the modulus of elasticity from stress-strain diagram. @=0.005 @=0 E = approx @=0.05 @=0Here, E @=0.005 is stress of the alloy when strain is 0.005 in./in., E @=0 is stress of the alloywhen strain is 0 in./in., is strain of the alloy when strain is 0.005 in./in., and is @=0.005 @=0strain of the alloy when strain is 0 in./in..Substitute 50 ksi for E @=0.005, 0 ksi for E@=0 , 0.005 in./in. for @=0.005, and 0 in./in. for @=0 . E = 500 approx 0.0050 = 10 x 10 ksi 3Therefore, the modulus of elasticity is 10 x 10 ksi