GATE 2019 CE (CE1) – Question 29
A rectangular plain-concrete beam of overall depth 500 mm develops equal-magnitude compressive and tensile strains $2.5\times10^{-4}$ at opposite extreme fibres. Find curvature (m⁻¹), to three decimal places.
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: .001 to .001
Explanation
Curvature equals extreme-fibre strain difference divided by their separation: $$\kappa=\frac{2.5\times10^{-4}-(-2.5\times10^{-4})}{0.500}=0.001\ \mathrm{m^{-1}}.$$ Both magnitudes contribute because their signs are opposite.