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An R.C.C. beam of 6 m span is 30 cm wide and has a lever arm of 55 cm. If it carries a U.D.L. of 12 t per m and allowable shear stress is 5 kg/cm2, the beam

A. Is safe in shear

B. Is safe with stirrups

C. Is safe with stirrups and inclined bars

D. Needs revision of section

Answer: Option D


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Comments (5)

  1. Hossayn Fedayi
    Hossayn Fedayi:
    1 month ago

    Step 1 Find Maximum shear Force for Simply Supported Beam =Vmax = wl/2= 12x6/2= 36 Ton= 36000 Kg.
    Step 2 Find Maximum Shear Force produced in beam due to Loading = Force/Area = Vmax/ b x lever arm
    = 36000/30x55 = 21.8 kg/cm2
    Step 3 As According to permissible Stress in section
    if < 5 kg/cm2 meansSafe in Shear No shear Reinforcemnt needed
    if between 5kg/cm2 and 20 kg/cm2 means not safe in shae and Shear Reinforment needed.
    if > 20 kg/cm2 then need revise of Section.
    As Shear Stress produced in section is 21.8 which >20 kg/cm2 So need revise of section. Option D is Coreect.

  2. Hossayn Fedayi
    Hossayn Fedayi:
    1 month ago

    Step 1. Find Maximum Shear Force= Vmax for Simlpy Supported beam which is = wl/2
    = 12x6/2 = 36 ton = 36000 kg.

  3. Naresh Kumar
    Naresh Kumar:
    6 years ago

    we know that moment M=V*LA where LA is liver arm (for given signs F=verticle shear force, v=horizontal shear force, x=longitudinal distance)
    now v=M/LA , also M=F*x
    shear stress S=V/(B*x)
    S=F/(B*LA)
    for question:
    S=12000*6/2*(30*55)=21.82 >8 kg/cm^2 hence unsafe

  4. Md Arshad
    Md Arshad:
    6 years ago

    Divide 12000 kg with 55*30 we will get 7.27 kg/sqcm but in question allowable shear stress is 5kg/sqcm so it will fail and section needs to be redesign.

  5. Munfed Khan
    Munfed Khan:
    7 years ago

    can any one explain this question

Related Questions on RCC Structures Design

If the shear stress in a R.C.C. beam is

A. Equal or less than 5 kg/cm2, no shear reinforcement is provided

B. Greater than 4 kg/cm2, but less than 20 kg/cm2, shear reinforcement is provided

C. Greater than 20 kg/cm2, the size of the section is changed

D. All the above