1

GATE CE 2014 Set 1

MCQ (Single Correct Answer)

+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

2

GATE CE 2011

MCQ (Single Correct Answer)

+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?

3

GATE CE 2008

MCQ (Single Correct Answer)

+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

4

GATE CE 2008

MCQ (Single Correct Answer)

+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

Questions Asked from Limit State of Collapse Shear (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

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

Environmental Engineering

Engineering Mathematics

Structural Analysis

Geotechnical Engineering

Fluid Mechanics and Hydraulic Machines

General Aptitude