Question
Asked Mar 11, 2020
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A No. 10 steel rebar is tested in tension. By monitoring the load reading of the testing machine, it was found that the specimen yielded at a load of 41,600 lb and fractured at 48,300 lb.
a. Determine the tensile stresses at yield and at fracture.
b. Estimate how much increase in length would occur at 70% of the yield stress in a 2-in. gauge length.

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Expert Answer

Step 1

For No.10 rebar, Area = 1.27 in2.

It is required to determine the tensile stress at yield.

Civil Engineering homework question answer, step 1, image 1

Here, Pyield is the load at load and A is the area of the rebar.

Civil Engineering homework question answer, step 1, image 2

Step 2

It is required to determine the tensile stress at fracture.

Civil Engineering homework question answer, step 2, image 1

Here, Pfracture is the load at load and A is the area of the rebar.

Civil Engineering homework question answer, step 2, image 2

Step 3

It is required to determine the increase in length occurs at 70% of yield stress.

Civil Engineering homework question answer, step 3, image 1

Here, lo is the original length, E is the modulus of elasticity. Generally for steel E = 29000 ksi.

Civil Engineering homework question answer, step 3, image 2

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