Type of Connection: Gusset Plate
Unit System: Metric
Design Code: IS 800
Plate Material: IS 2062 Grade Steel
Bolt: M16, Grade 8.8
Geometry:
Applied Forces:
N = 800 kN
V = 0 kN
M = 0 kN
Procedure:
Block shear resistance is checked on a thin gusset plate (thickness 8 mm), which is designed to fail while other components are still undamaged
IS Code:
Fig1. Gusset plate dimenions and failure of plate in block shear
As per Clause 6.4.1 of IS 800: 2007, the block shear strength (T_{db}) of connection shall be taken as the smaller of
\[ T_{db} = \frac{A_{vg} f_y}{\sqrt{3} \gamma_{m0}} + \frac{0.9 A_{tn} f_u}{\gamma_{m1}} \]
or
\[ T_{db} = \frac{0.9 A_{vn} f_u}{\sqrt{3} \gamma_{m1}} + \frac{A_{tg} f_y}{\gamma_{m0}} \]
where:
- A_{vg}, A_{vn }= minimum gross and net area in shear along bolt line parallel to external force
- A_{tg}, A_{tn }= minimum gross and net area in tension from the bolt hole to the toe of the angle, end bolt line, perpendicular to the line of force
- f_{u}, f_{y }= ultimate and yield stress of the material
Manual Calculations:
A_{vg} = (60+60+42) *8*2 = 2592 mm^{2}
A_{vn} = ((60+60+42) – 2.5*18) *8*2 = 1872 mm^{2}
A_{tg} = (60) *8 = 480 mm^{2}
A_{tn} = (60-18) *8 = 336 mm^{2}
IDEA StatiCa Connection:
The resistance of plate in IDEA is determined at 5% limit strain
Fig 2: Equivalent Stress
Fig 3: Limiting Strain
Comparison:
Steel Grade | f_{y} [MPa] | f_{u} [MPa] | T_{db }[kN] IS 800 | T_{db }[kN] IDEA | IDEA/IS 800 |
E 165 (Fe 290) | 165 | 290 | 295 | 272 | 92% |
E 250 (FE 410 W) B | 250 | 410 | 428 | 403 | 94% |
E 300 (Fe 440) | 440 | 300 | 473 | 472 | 100% |
E 350 (Fe 490) | 490 | 350 | 534 | 544 | 102% |
E 410 (Fe 540) | 540 | 410 | 599 | 628 | 105% |
E 450 (Fe 570) D | 450 | 570 | 640 | 669 | 105% |
E 450 (Fe 590) E | 450 | 590 | 655 | 669 | 102% |
IDEA StatiCa Connection design results of block shear resistance are similar to manual computation according to IS 800: 2007. IDEA StatiCa Connection results are a little bit on the conservative side for low-grade steels and slightly unconservative (5 % at most) for high-grade steels. The reason is that the ultimate strength does not affect the results of IDEA Connection for plates.