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Question

The below figure represents a section of a prestressed beam. For a no-tension design where σc is the permissible stress in concrete, the total moment carrying capacity is

A
bd2σc3
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B
bd2σc4
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C
bd2σc6
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D
bd2σc12
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Solution

The correct option is D bd2σc12
For maximum compression
Pbd+Mbd26σc (i)For no tensionPbdMbd26=0Pbd=Mbd26P=6MdPut value of P in eq. (i)2Mbd26σc12Mbd2σcMσcbd212

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