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 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
$$213$$ $$kN$$-$$m$$
2
GATE CE 2004
MCQ (Single Correct Answer)
+1
-0.3
In the limit state design method of concrete structures, the recommended partial material safety factor $$\left( {{\gamma _m}} \right)$$ for steel according to $$IS:456$$-$$2000$$ is
A
$$1.5$$
B
$$1.15$$
C
$$1.00$$
D
$$0.87$$
3
GATE CE 2004
MCQ (Single Correct Answer)
+2
-0.6
A simply supported prestressed concrete beam is $$6$$ $$m$$ long and $$300$$ $$mm$$ wide. Its gross depth is $$600$$ $$mm.$$ It is prestressed by horizontal cable tendons at a uniform eccentricity of $$100$$ $$mm.$$ The prestressing tensile force in the cable tendons is $$1000$$ $$kN$$. Neglect the self weight of beam. The maximum normal compressive stress in the beam at transfer is
A
Zero
B
$$5.55\,\,N/m{m^2}$$
C
$$11.11\,\,N/m{m^2}$$
D
$$15.68\,\,N/m{m^2}$$
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
$$0.75\,\,N/m{m^2}$$