A RCC beam of 230 mm wide and 450 mm effective depth is having th
A RCC beam of 230 mm wide and 450 mm effective depth is having three bars of 12 mm diameter Fe415 steel bars in tension zone near a simply supported end. Factored shear force at the support is 250 kN, factored moment of resistance is 50 kN-m, M20 grade concrete with τbd = 1.2 MPa is used
Anchorage length beyond the centre of the support is _______A. 310 mm
B. 250 mm
C. 564 mm
D. 375 mm
Please scroll down to see the correct answer and solution guide.
Right Answer is: A
SOLUTION
Concept:
Development length \({l_d} = \frac{{{\rm{\Phi }}{\sigma _{st}}}}{{4{\tau _{bd}}}} \)
Calculation:
Development length \({l_d} = \frac{{{\rm{\Phi }}{\sigma _{st}}}}{{4{\tau _{bd}}}} = \frac{{12 \times \left( {0.87 \times 415} \right)}}{{4 \times \left( {1.6 \times 1.2} \right)}}\)
= 564 mm
Now \({l_d} \not > \frac{{1.3M}}{V} + {l_o}\)
\(564 \not > \frac{{1.3 \times 50 \times {{10}^6}}}{{250 \times {{10}^3}}} + {l_0} \Rightarrow {l_o} = 304mm \simeq 310mm\)