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
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Irrigation
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Joint Entrance Examination