ENHANCED SHEAR CHECK

Concrete Grade fcu = 40 N/mm2

fck = 32 N/mm2
Steel Stress fyk = 500 N/mm2
fctm = 3.024
Overall depth D = 0.85 m
Concrete Cover = 45 mm
Bar size = 25 mm
Effective depth d = 793 mm
Beam Width bw = 300 mm
Ultimate Load N = 1012 kN

Ultimate Limit State

Bar size = 32 mm
No of bar provided = 3
Steel Area Provided As,prov = 2413 mm2

Beam Shear Check

�_𝐸� ≤ PASS! (ref: SS EN 1992 2004
�_(𝑅�,𝑚𝑎�) FAIL! Clause 6.2.2)
𝛽�_𝐸� ≤
�_(𝑅�,𝑐)
(1) Maximum Shear Stress
�_𝐸� ≤
�_(𝑅�,𝑚𝑎�)
Shear Force, �_𝐸� 1012 kN
bw 0.300 m
�_(𝑅�,𝑚𝑎�) = 0.5 �_𝑤 � v 1128 kN (ref: SS EN 1992 2004
�_𝑐� [1− �_𝑐�/250]
�=0.6 Clause 6.2.2 (6))
�_𝑐� = �_𝑐𝑐
�_𝑐� /𝛾𝑐
(2), 𝛽�_𝐸� ≤
�_(𝑅�,𝑐)
Enhanced shear capacity factor (ref: SS EN 1992 2004
Clause 6.2.2 (6))
𝛽 = �_�∕2� 0.5� ≤ 𝑎_� ≤ 2d 𝑎_� =𝑠ℎ𝑜𝑟𝑡𝑒𝑠𝑡 �𝑖𝑠𝑡𝑎𝑛𝑐𝑒 �𝑒𝑡𝑤𝑒𝑒𝑛 �𝑎𝑐𝑒 𝑜� 𝑐𝑜𝑙𝑢𝑚𝑛 𝑡𝑜 𝑐𝑟𝑖𝑡𝑖𝑐𝑎𝑙 𝑠𝑒𝑐𝑡𝑖𝑜𝑛
(Input from sketch) 0.396 m
𝑎_� Actual Value -
𝛽 0.25
Reduced Shear Force 𝛽�_𝐸� 252.84 kN
�_(𝑅�,𝑐) = (0.12k("100" 𝜌�_𝑐� )^((1∕3) ))�_𝑤 �" "≥(0.035�^1.5 〖� _𝑐� 〗 ^0.5)�_𝑤 �" " (ref: SS EN 1992 2004
�=1+ √(200/�) ≤ Clause 6.2.2 (1))
2.0 1.502
𝜌_𝑙 = �_𝑠𝑙�/
(�_𝑤 �) ≤ 0.02 0.010
�_(𝑅 137 kN
�,𝑐)
ENHANCED SHEAR CHECK

Concrete Grade fcu = 45 N/mm2

fck = 35 N/mm2
Steel Stress fyk = 460 N/mm2
fctm = 3.210
Overall depth D = 0.60 m
Concrete Cover = 40 mm
Bar size = 25 mm
Effective depth d = 548 mm
Beam Width bw = 600 mm
Ultimate Load N = 1508 kN

Ultimate Limit State

Bar size = 25 mm
No of bar provided = 6
Steel Area Provided As,prov = 2945 mm2

Beam Shear Check

�_𝐸� ≤ PASS! (ref: SS EN 1992 2004
�_(𝑅�,𝑚𝑎�) PASS! Clause 6.2.2)
𝛽�_𝐸� ≤
�_(𝑅�,𝑐)
(1) Maximum Shear Stress
�_𝐸� ≤
�_(𝑅�,𝑚𝑎�)
Shear Force, �_𝐸� 524 kN
bw 0.600 m
�_(𝑅�,𝑚𝑎�) = 0.5 �_𝑤 � v 1681 kN (ref: SS EN 1992 2004
�_𝑐� [1− �_𝑐�/250]
�=0.6 Clause 6.2.2 (6))
�_𝑐� = �_𝑐𝑐
�_𝑐� /𝛾𝑐
(2), 𝛽�_𝐸� ≤
�_(𝑅�,𝑐)
Enhanced shear capacity factor (ref: SS EN 1992 2004
Clause 6.2.2 (6))
𝛽 = �_�∕2� 0.5� ≤ 𝑎_� ≤ 2d 𝑎_� =𝑠ℎ𝑜𝑟𝑡𝑒𝑠𝑡 �𝑖𝑠𝑡𝑎𝑛𝑐𝑒 �𝑒𝑡𝑤𝑒𝑒𝑛 �𝑎𝑐𝑒 𝑜� 𝑐𝑜𝑙𝑢𝑚𝑛 𝑡𝑜 𝑐𝑟𝑖𝑡𝑖𝑐𝑎𝑙 𝑠𝑒𝑐𝑡𝑖𝑜𝑛
(Input from sketch) 0.274 m
𝑎_� Actual Value -
𝛽 0.25
Reduced Shear Force 𝛽�_𝐸� 131.07 kN
�_(𝑅�,𝑐) = (0.12k("100" 𝜌�_𝑐� )^((1∕3) ))�_𝑤 �" "≥(0.035�^1.5 〖� _𝑐� 〗 ^0.5)�_𝑤 �" " (ref: SS EN 1992 2004
�=1+ √(200/�) ≤ Clause 6.2.2 (1))
2.0 1.604
𝜌_𝑙 = �_𝑠𝑙�/
(�_𝑤 �) ≤ 0.02 0.009
�_(𝑅 199 kN
�,𝑐)