GATE CE 2021: STRENGTH OF MATERIAL#2 (App update required to attempt this test)

For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5 × 10^-4. The curvature in the beam cross-section (in
m^-1, round off to 3 decimal places), is __________.

In a reinforced concrete section, the stress at the extreme fibre is compression is 5.80 MPa. The depth of neutral axis in the section is 58 mm and the grade of concrete is M25. Assuming linear elastic behavior of the concrete, the effective curvature of the section (in per mm) is

A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded vertically at the free end. The vertical displacement at the free end is 5 mm. The beam is made of steel with Young’s modulus of The maximum bending stress at the fixed end of the cantilver is

An 8 m long simply-supported elastic beam of rectangular cross-section is subjected to a uniformly distributed load of 10 kN/m over its entire span. The maximum principal stress (in MPa, up to two decimal places) at a point located at the extreme compression edge of a cross-section and at 2 m from the support is ____________.

A simply supported rectangular beam having span 5m is subjected to a central point load of 50 kN. The permissible stress in material is 220 N/mm². Assuming the depth to be twice of width, the beam is safe in bending if its depth is equal to ____mm.

An inverted triangular section of width 300 mm and depth 250 mm fails when it is subjected to a moment of 300 kN-m. The permissible stress in the section is