Sarthaks Test
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A concrete pillar, which is reinforced with steel rods, supports a compressive axial load of 2 MN.

(a) Determine stresses σ1 and σ2 given the following: 

For the steel, A1 = 4 × 10−3 m2 and E1 = 2 × 1011 N/m2

For the concrete, A2 = 0.2 m2 and E2 = 2 × 1010 N/m2

(b) What percentage of the total load does the steel reinforcement take? 

1 Answer

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From the above equation

i.e. the stress in the steel,

σ1 = −83.3 MPa   ........(1.10)

From the above equation

i.e. the stress in the concrete, 

σ2 = −8.3 MPa   .......(1.11)

(b) Force in the steel,

F1 = σ1A1

= −83.3 × 106 × 4 × 10−3 

= 3.33 × 105 N

Therefore, the percentage total load taken by the steel reinforcement

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