Week 5 Challenge
1.
dtw��� = (1200 -2x50)/10 =111 > 67 ε� (ε=1)(�=1)
check for shear buckling required
2) Minimum thickness requirment of web-
dtw���< 200ε�
11100/10 = 111 < 200ε� ( 0K)
3) Shear capacity Check -
Vd=Av×fyw/√3×γmo��=��×���/3×���
= 1100x10x250/1.732x1.1 = 1443418 N = 1443 KN
0.6Vd�� = 865 KN < V = 1000 KN
Not safe in shear
4) Check for shear buckling as per IS 800: 2007 , Page-59 -
Vcr=���=A_v xxtau_B`
shear stress correspondind to web buckling
τB=fyw√3×λ2w��=���3×��2
λ2w=√fyw√3×τcr��2=���3×���
τcr=Kv×π2×E/12(1−μ2)(dtw)2���=��×�2×�/12(1-�2)(���)2
Kv�� = 5.35 when transverse stiiffners are provided only at support
E = 2x105N/mm2105�/��2 , μispoisson'sratio=0.3
`nbsp; τcr��� = 5.35x π2�2 x 2x105105/ 12 ( 1- 0.320.32) (110010)2(110010)2
= 79.84
λw = √fyw√3×τcr/3×tcr
=√2501.732×79.842501.732×79.84 = 1.3445
τB = 250/1.732x 1.344521.34452 = 79.849
Vcr = 1100x10 x 79.849 = 878339 N = 878.339 < 1000 KN
The web shear force corresponding to the web buckling is less than maximum Factored shear force , hence not safe
Result- Thus it is concluded that web is not adequate to carry a factored shear force of 1000 KN.
2.
dtw��� = (1500-2x30)/12 = 120 > 67ε�
shear buckling check requred
2) Minimum web thickness requirment-
dtw��� 120 < 200 ε� (ε=1)(�=1) ( OK)
3) Shear capacity Check -
Vd=Av×fyw/√3×γmo��=��×���/3×���
= 1440x12x250/1.732x1.1 = 2267478.47 N = 2267. 47 KN
0.6Vd�� = 1360.48 KN < V = 2000 KN ( Not safe in shear)
4) Check for shear buckling as per IS 800: 2007 , Page-59
Vcr=���=A_v xxtau_B`
shear stress correspondind to web buckling
3