Question

Consider two RCC beams, P and Q, each of width 400 mm and effective depth 750 mm, made with concrete having a τ_{cmax ^{= 2.0MPa}}. For the reinforcement provided and the grade of concrete used, it may be assumed that τ_{cmax ^{= 0.75MPa}} . If the design shear for the beams P and Q is 400 kN and 750 kN, respectively, which of the following statements is true considering the provisions of IS 456-2000?

nks RCC che P rFkk Q ij fopkj dhft,] ftuesa ls izR;sd dh pkSM+kbZ 400 mm rFkk izHkkoh xgjkbZ 750 mm gSA ;s τ_{cmax ^{= 2.0MPa}} okyh daØhV ls fufeZr gSA iznku fd, x, izcyu rFkk iz;qDr daØhV xzsM ds fy, ;g ekuk tk ldrk gSA fd τ_{cmax ^{= 0.75MPa}} gSA ;fn che P rFkk Q ds fy, fMtkbu drZu cy (design shear) Øe'k% 400kN rFkk 750 kN gS] rks IS 456 : 2000 ds izko/kuksa ds vuqlkj fuEufyf[kr esa ls dkSu&lk dFku lgha gS \

Shear reinforcement should be designed for 175 kN for beam P and the section for beam Q should be revised

che P ds fy, 175 kN ds drZu cy gsrq drZu izcyu fMtkbu fd;k tkuk pkfg, rFkk che Q ds vuqHkkx esa la'kks/ku fd;k tkuk pkfg,A

Nominal shear reinforcement is required for beam P and the shear reinforcement should be designed for 120 kN for beam Q

che P ds fy, 400 kN rFkk che Q ds fy, 750 kN ds drZu cy gsrq drZu izcyu fMtkbu fd;k tkuk pkfg,A

Shear reinforcement should be designed for 175 kN for beam P and the section for beam Q should be designed for 525 kN for beam Q

che P ds fy, 175 kN rFkk che Q ds fy, 525 kN ds drZu cy gsrq drZu izcyu fMtkbu fd;k tkuk pkfg,

The sections for both beams, P and Q need to be revised.

che P ds fy, 225 kN rFkk che Q ds fy, 525 kN ds drZu cy gsrq drZu izcyu fMtkbu fd;k tkuk pkfg,A

Answer ( Option A)

Shear reinforcement should be designed for 175 kN for beam P and the section for beam Q should be revised

che P ds fy, 175 kN ds drZu cy gsrq drZu izcyu fMtkbu fd;k tkuk pkfg, rFkk che Q ds vuqHkkx esa la'kks/ku fd;k tkuk pkfg,A