Limit State of Collapse Torsion · Reinforced Cement Concrete · GATE CE
Marks 2
1
A concrete column section of size 300 mm $\times$ 500 mm as shown in the figure is subjected to both axial compression and bending along the major axis. The depth of the neutral axis ($x_u$) is 1.1 times the depth of the column, as shown.
The maximum compressive strain ($\epsilon_c$) at highly compressive extreme fiber in concrete, where there is no tension in the section, is _______________ $\times 10^{-3}$ (rounded off to 2 decimal places).
GATE CE 2024 Set 2
2
At the limit state of collapse, an $$RC$$ beam is subjected to flexural moment $$200$$ $$kN$$-$$m$$, shear force $$20$$ $$kN$$ and torque $$9$$ $$kN$$-$$m$$. The beam is $$300$$ $$mm$$ wide and has a gross depth of $$425$$ $$mm,$$ with an effective cover of $$25$$ $$mm$$. The equivalent nominal shear stress $$\left( {{\tau _{ve}}} \right)$$ as calculated by using the design code turns out to the lesser than the design shear strength $$\left( {{\tau _c}} \right)$$ of the concrete.
The equivalent shear force $$\left( {{V_e}} \right)$$ is
GATE CE 2004
3
At the limit state of collapse, an $$RC$$ beam is subjected to flexural moment $$200$$ $$kN$$-$$m$$, shear force $$20$$ $$kN$$ and torque $$9$$ $$kN$$-$$m$$. The beam is $$300$$ $$mm$$ wide and has a gross depth of $$425$$ $$mm,$$ with an effective cover of $$25$$ $$mm$$. The equivalent nominal shear stress $$\left( {{\tau _{ve}}} \right)$$ as calculated by using the design code turns out to the lesser than the design shear strength $$\left( {{\tau _c}} \right)$$ of the concrete.
The equivalent flexural moment $${M_{{e_1}}}$$ for designing the longitudinal tension steel is
GATE CE 2004