1) What is the stress in the steel? 2) What is the stress in the concrete? Concr

Question

1) What is the stress in the steel?

2) What is the stress in the concrete?

Concrete columns are constructed with reinforcing steel in them to make them stronger and more ductile. The reinforcing bars are designated by size, with the size being the diameter in eights of an inch. For example, a #4 bar is 4/8 inch in diameter. A 11 inch square concrete column is constructed with eight #4 bars. A 50000 pound load is applied to this column. The modulus of elasticity of the reinforcing steel is 29 times 10^6 psi, while the modulus of elasticity of the concrete is 4.1 times 10^6 psi. What is the stress in the steel? What is the stress in the concrete?

Explanation / Answer

1)

For steel

50000 pounds = 222411 N

Stress = force /area = 222411/pi*(0.5 *0.0127^2)

Stress = 878312712 N/m2

b)

For Concrete

Stress = 222411/(11*0.2794)^2

Stress = 23546 N/m2

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