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Question

If ϕ = nominal diameter of reinforcing bar, fs= compressive stress in the bar and fbd= design bond sress of concrete, the anchorage length, Ls of straight bar in compression is equal to

A
La=ϕfsfbd
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B
La=ϕfs2fbd
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C
La=ϕfsπfbd
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D
La=ϕfs4fbd
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Solution

The correct option is D La=ϕfs4fbd


Compressive force
c=fs×As
=fs×π4ϕ2 ...(i)

This force must be transferred from steel to concrete through bond acing over the perimeter of the bar along its length of embedment.
Hence,

C=fbd×πϕLa ....(ii)
From (i) & (ii)

fbd×πϕ×La=fs×π4ϕ2

La=fsϕ4fbd

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Note : It is a standard result please remember this.
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