1
GATE CE 2004
MCQ (Single Correct Answer)
+2
-0.6
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

A
$$20$$ $$kN$$
B
$$54$$ $$kN$$
C
$$56$$ $$kN$$
D
$$68$$ $$kN$$
2
GATE CE 2004
MCQ (Single Correct Answer)
+2
-0.6
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

A
$$187$$ $$kN$$-$$m$$
B
$$200$$ $$kN$$-$$m$$
C
$$209$$ $$kN$$-$$m$$
D
$$213$$ $$kN$$-$$m$$
3
GATE CE 2004
MCQ (Single Correct Answer)
+2
-0.6
An $$RC$$ short column with $$300\,\,mm \times 300\,mm$$ square cross-section is made of $$M20$$ grade concrete and has $$4$$ numbers, $$20$$ $$mm$$ diameter longitudinal bars of $$Fe$$-$$415$$ steel. It is under the action of a concentric axial compressive load. Ignoring the reduction in the area of concrete due to steel bars, the ultimate axial load carrying capacity of the column is
A
$$1659$$ $$kN$$
B
$$1548$$ $$kN$$
C
$$1198$$ $$kN$$
D
$$1069$$ $$kN$$
4
GATE CE 2004
MCQ (Single Correct Answer)
+2
-0.6
An $$RC$$ square footing of side length $$2$$ $$m$$ and uniform effective depth $$200$$ $$mm$$ is provided for a $$300$$ $$mm \times 300\,mm$$ column. The line of action of the vertical compressive load passes through the centroid of the footing as well as of the column. If the magnitude of the load is $$320$$ $$kN,$$ the nominal transverse (one way) shear stress in the footing is
A
$$0.26\,\,N/m{m^2}$$
B
$$0.30\,\,N/m{m^2}$$
C
$$0.34\,\,N/m{m^2}$$
D
$$0.75\,\,N/m{m^2}$$
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