1
GATE CE 1999
Subjective
+5
-0
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 $$\left. \, \right]$$
$$\left[ {{V_{us}} = 0.87\,\,{f_y}{A_{sv}}\,\,d/{S_v}} \right.$$ and $${\left( {{A_{sv}}/{S_v}} \right) \ge 0.4b/{f_y}}$$ with the terms having usual meaning $$\left. \, \right]$$
Questions Asked from Limit State of Collapse Shear (Marks 5)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude