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A tie bar 50 mm × 8 mm is to carry a load of 80 kN. A specimen of same quality steel of cross-sectional area is 250 mm2. If the maximum load carried by the specimen is 125 kN, the gauge length will be
1. 133 mm
2. 126 mm
3. 113 mm
4. 106 mm

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Correct Answer - Option 3 : 113 mm

Concept:

In a tension test on a bar, gauge length means the length over which extension is measured.

\(GL = 5.65\;\sqrt {{A_o}}\)

Where Ao = Initial cross-sectional area before loading

Gauge length is independent of the length of a bar, material of bar, and shape of cross-section.

Calculation:

Given,

Ao = 50 × 8

\({\rm{Guage\;length}} = 5.65\;\sqrt {50 × 8} = 113\;{\rm{mm}}\)

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