Limit State of Collapse Shear · Reinforced Cement Concrete · GATE CE

Marks 1

With regard to the shear design of RCC beams, which of the following statements is/are TRUE?

GATE CE 2023 Set 2

A reinforced concrete beam with rectangular cross section (width = 300 mm, effective depth = 580 mm) is made of M30 grade concrete. It has 1% longitudinal tension reinforcement of Fe415 grade steel. The design shear strength for this beam is 0.66 N/mm². The beam has to resist a factored shear force of 440 kN. The spacing of two-legged, 10 mm diameter vertical stirrups of Fe415 grade steel is _________ mm. (round off to the nearest integer)

GATE CE 2022 Set 1

As per $$IS$$ $$456$$ - $$2000$$ for the design of reinforced concrete beam, the maximum allowable shear stress $$\left( {{\tau _{c\,\,\max }}} \right)$$ depends on the

GATE CE 2016 Set 2

In shear design of an $$RC$$ beam, other than the allowable shear strength of concrete $$\left( {{\tau _c}} \right),$$there is also an additional check suggested in $$IS$$ $$456$$-$$2000$$ with respect to the maximum permissible shear stress $$\left( {{\tau _{c\,\,\max }}} \right).$$ The check for $${{\tau _{c\,\,\max }}}$$ is required to take care of

GATE CE 2016 Set 1

Assuming concrete below the neutral axis to be cracked, the shear stress across the depth of a singly-reinforced rectangular beam section

GATE CE 2006

Marks 2

A reinforced concrete beam has a support section with width of 300 mm and effective depth of 500 mm . The support section is reinforced with 3 bars of 20 mm diameter at the tension side. Two-legged vertical stirrups of 10 mm diameter and Fe415 steel at a spacing of 100 mm are provided as shear reinforcement. Assume that there is no possibility of diagonal compression failure at the section.

As per IS 456:2000, the maximum shear resisted by the vertical stirrups (in kN), as per limit state design, is__________ (round off to one decimal place).

GATE CE 2025 Set 2

A launched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in the figure. The beam is subjected to a uniformly distributed factored load of intensity $$10$$ $$kN/m.$$ The design shear force (expressed in $$kN$$) at the section $$X$$-$$X$$ of the beam is ____________

GATE CE 2016 Set 2

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

GATE CE 2014 Set 1

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?

GATE CE 2011

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

GATE CE 2008

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

GATE CE 2008

A simply supported beam of a beam and slab system, rests on a support of width $$450$$ $$mm.$$ The clear span of the beam is $$10.0$$ $$m.$$ The thickness of the slab is $$120$$ $$mm.$$ The depth of the beam below the slab is $$480$$ $$mm$$ and the width of the beam is $$250$$ $$mm.$$ The beam is reinforced with one row of $$32$$ $$mm$$ diameter steel rods. The total load including the super imposed dead load, live load and its own weight is $$25.0$$ $$kN/m$$ at service stage. Compute the maximum nominal design shear stress in the concrete _______________

GATE CE 1997

Marks 5

The width and effective depth of a reinforced concrete beam is $$250$$ $$mm$$ and $$440$$ $$mm$$ respectively. The beam is provided with $$4$$ number of $$20$$ $$mm$$ bars in the tension zone. The beam is subjected to a shear force of $$150$$ $$kN$$ (Factored). Check the requirement of shear reinforcement and provide if required. Grade of concrete is $$M20$$ and that of steel is $$Fe415.$$ The shear strength of concrete for different percentage of tensile steel are as below $$8$$ $$mm$$ diameter vertical stirrups are available.
$$\left[ {{V_{us}} = 0.87\,\,{f_y}{A_{sv}}\,\,d/{S_v}} \right.$$ and $${\left( {{A_{sv}}/{S_v}} \right) \ge 0.4b/{f_y}}$$ with the terms having usual meaning $$\left. \, \right]$$

GATE CE 1999