For an RCC beam of width 230 mm and effective depth 300 mm subjected to a shear force of 69 kN due to design loads, what will be the nominal shear stress in the beam?

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  1. 0.1 N/mm2
  2. 0.01 N/mm2
  3. 1 N/mm2
  4. 10 N/mm2

Answer (Detailed Solution Below)

Option 3 : 1 N/mm2
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Detailed Solution

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Concept

As per the IS Code 456: 2000, clause 40.1
Nominal Shear Stress
The nominal shear stress in beams of uniform depth shall be obtained by the following equation:
\(\tau_v=\frac{V_u}{bd}\)
where
Vu =  shear force due to design loads;

b = breadth of the member, which for flanled section shall be taken as the breadth of the web band 

d =effective depth.

Given:

b = 230 mm

d = 300 mm

Design shear force, Vu = 69 KN = 69,000 N

\(\tau_v=\frac{V_u}{bd}\)

Nominal shear stress = 69,000 / (230 x 300)

= 1 N/mm2

Nominal shear stress = 1 N/mm2 

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