1
GATE CE 2014 Set 1
+2
-0.6
A rectangular beam of width $$(b)$$ $$230$$ $$mm$$ and effective depth $$(d)$$ $$450$$ $$mm$$ is reinforced with four bars of $$12$$ $$mm$$ diameter. The grade of concrete is $$M20$$ and grade of steel is $$Fe500.$$ Given that for $$M20$$ grade of concrete the ultimate shear strength, $${\tau _{uc}} = 0.36\,\,N/m{m^2}$$ for steel percentage, $$p = 0.25,$$ and $${\tau _{uc}} = 0.48\,\,N/m{m^2}$$ for $$p = 0.50.$$ For a factored shear force of $$45$$ $$kN,$$ the diameter (in $$mm$$) of $$Fe500$$ steel two legged stirrups to be used at spacing of $$375$$ $$mm,$$ should be
A
$$8$$
B
$$10$$
C
$$12$$
D
$$16$$
2
GATE CE 2011
+2
-0.6
Consider two $$RCC$$ beams, $$P$$ and $$Q$$, each having the section $$400$$ $$mm$$ $$\times \,\,750\,\,mm$$ (effective depth, $$d=750$$ $$mm$$) made with concrete having a $${\tau _{c\max }} = 2.1\,\,N/m{m^2}.$$ For the reinforcement provided and the grade of concrete used, it may be assumed that the $$\,{\tau _c} = 0.75\,\,N/m{m^2}.$$ The design shear in beam $$P$$ is $$400$$ $$kN$$ and in beam $$Q$$ is $$750$$ $$kN.$$ Considering the provisions of $$IS$$ $$456$$-$$2000.$$

Which of the following statements is TRUE?

A
Shear reinforcement should be designed for $$175$$ $$kN$$ for beam $$P$$ and the section for beam $$Q$$ should be revised.
B
Nominal shear reinforcement is required for beam $$P$$ and the shear reinforcement should be designed for $$120$$ $$kN$$ for beam $$Q.$$
C
Shear reinforcement should be designed for $$175$$ $$kN$$ for beam $$P$$ and the shear reinforcement should be designed for $$525$$ $$kN$$ for beam $$Q.$$
D
The sections for both beams $$P$$ and $$Q$$ need to be revised.
3
GATE CE 2008
+2
-0.6
A reinforced concrete beam of rectangular cross section of breadth $$230$$ $$mm$$ and effective depth $$400$$ $$mm$$ is subjected to maximum factored shear force of $$120$$ $$kN.$$ The grades of concrete, main steel and stirrup steel are $$M20,$$ $$Fe415$$ and $$Fe250$$ respectively. For the area of main steel provided, the design shear strength τc is per $$IS: 456$$-$$2000$$ is $$0.48$$ $$N/m{m^2}.$$ The beam is designed for collapse limit state.

The spacing $$(mm)$$ of $$2$$-legged $$8$$ $$mm$$ stirrups to be provided is

A
$$40$$
B
$$115$$
C
$$250$$
D
$$400$$
4
GATE CE 2008
+2
-0.6
A reinforced concrete beam of rectangular cross section of breadth $$230$$ $$mm$$ and effective depth $$400$$ $$mm$$ is subjected to maximum factored shear force of $$120$$ $$kN.$$ The grades of concrete, main steel and stirrup steel are $$M20,$$ $$Fe415$$ and $$Fe250$$ respectively. For the area of main steel provided, the design shear strength τc is per $$IS: 456$$-$$2000$$ is $$0.48$$ $$N/m{m^2}.$$ The beam is designed for collapse limit state.

In addition, the beam is subjected to a torque whose factored value is $$10.90$$ $$kN$$-$$m.$$ The stirrups have to be provided to carry a shear $$(kN)$$ equal to

A
$$50.42$$
B
$$130.56$$
C
$$151.67$$
D
$$200.23$$
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Environmental Engineering
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Medical
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