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Question

A simply supported prismatic concrete beam of rectangular cross-section, having a span of 8 m, is prestressed with an effective prestressing force of 600 kN. The eccentricity of the prestressing tendon is zero at supports and varies linearly to a value of e at the mid-span. In order to balance an external concentrated load of 12 kN applied at the mid-span, the required value of e (in mm, round off to the nearest integer) of the tendon, is ________.
  1. 40

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Solution

The correct option is A 40

θ is small so, assume

sinθ=tanθ

For load balancing.

2Psinθ=12

2×600×tanθ=12

tanθ=0.01

From fig.

tanθ=eL/2=2eL=0.01

e=0.01×82

e=0.04m

e=40mm

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