DRCS Assignment
DRCS Assignment
DRCS Assignment
Q 2. A Concrete beam 250mm wide and 600 mm deep overall has to resist
an external bending moment of 300 kN-m. Design the beam taking
cover of steel on both sides as 50mm. Use M 20 concrete and Fe 415
steel.
Given:
b= 250mm, D= 600mm
Solution:
Calculation of BM:
As Per IS 456: 2000 Pg No 70 the limiting value of neutral axis depth for
Since Mu,lim<Mu
From IS 456 : 2000 , Pg 70 Diagram 23A, we can find the stress equal to
0.00283
→fyd = fsc/1.15 or 0.87 x fsc = 0.87 x 406.7 = 353.6522 ≡ 353.65 N/mm2 <
0.87fy OK
0.48 𝑥 106
𝐴𝑠𝑐 = = 1357.27 𝑚𝑚2
353.65
Calculation of number of steel bar in tension and compression zone:
Solution:
Load Calculation
𝑤1 𝑙 2 64 𝑥 52
Maximum BM due to self-weight = = = 200 𝑘𝑁 − 𝑚
8 8
As Per IS 456: 2000 Pg No 70 The limiting value of neutral axis depth for
Since Mu,lim<Mu
As per IS-456:2000 Cl No: G-1.2 Ast,1 and Ast,2 are calculated for Mu,lim and
Mu2
From IS 456 : 2000 , Pg 70 Diagram 23A, we can find the stress equal to
0.00293
→fyd = fsc/1.15 or 0.87 x fsc = 0.87 x 406.7 = 353.6522 ≡ 353.65 N/mm2 <
0.87fy OK
0.36 𝑥 106
𝐴𝑠𝑐 = = 1017.95 𝑚𝑚2
353.65
= 176.69 kN
As per IS 456:2000 table 19, the design shear strength of concrete ʈc at 1.8%
and M20 grade concrete, ʈc= 0.76 N/mm2
𝜋 2
0.87 𝑥 415 𝑥 2 𝑥 𝑥8 𝑥450
= 4 = 220.45𝑚𝑚 ≅ 210𝑚𝑚
176.69 𝑥 103 − 0.76 𝑥 300 𝑥 450
Provide 2 legged 8mm dia @ 210mm c/c