Answer:
the normal stress caused by the concrete post
the normal stress caused by the steel
Explanation:
Given that:
Modulus of elasticity for the concrete post =
psi
Thermal coefficient for concrete post =
Modulus of elasticity for the steel bar =
Thermal coefficient of steel bar =
Change in temperature ΔT = 80°F
Diameter of the steel rod = 7/8-in
Area of the steel rod =
=
= 3.61 in²
Area of concrete parts = (10)(10) -
= (100 - 3.61) in²
= 96.39 in²
The total strain developed in the concrete post can be expressed as:
=
=
=
=
P = 6482.98 lb
Since, the normal stress in concrete is induced from the temperature increase; we derive the expression:
Thus, the normal stress caused by the concrete post
Also, the normal stress in the steel bars induced due to the temperature change is represented as follows:
Thus, the normal stress caused by the steel