Q2The concrete post is reinforced using six steel reinforcin

Q2)The concrete post is reinforced using six steel reinforcing rods, each having a diameter of 20 mm. Determine the stress in the concrete and the steel if the post is subjected to an axial load of 500 kN. E-200 GPa, E 40 GPa 500 kN 150 mm 75 mm

Solution

Solution:-

Given

Axial load (P) = 500 kN

Area of steel = 6 * /4 * 20²

                       = 1885 mm²

Area of concrete = Gross area – area of steel

                              = 150 *375 - 1885 = 54.365 *10³ mm²

E_st = 200 GPa

E_c = 40 GPa

Stress in steel = P/area of steel

                         = 500 * 10³/1885

                         = 265.2 N/mm²     Answer

Stress in concrete = P/area of concrete

                                = 500*10³/(54.365 *10³)

                                = 9.19 N/mm²      Answer

We know that

Stress in concrete/E_c =Stress in steel/E_st