GATE 2016 CE (CE2) – Question 46

Construction Materials · Concrete: constituents, mix design, short-term and long-term properties · 2 marks · Numerical answer

A 450 mm long plain concrete prism is subjected to the concentrated vertical loads as shown in the figure. Cross section of the prism is given as 150 mm × 150 mm. Considering linear stress distribution across the cross-section, the modulus of rupture (expressed in MPa) is ________

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Correct answer: 2.9 to 3.1

Explanation

Symmetry makes each support reaction11.25kN. The constant maximum moment between the two load points is11.25·0.15=1.6875kN·m=1687500N·mm. Elastic section modulus is bd²/6=150·150²/6=562500mm³. Maximum tensile stress is M/Z=**3.0MPa**.