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 mm²

A_vn = ((60+60+42) – 2.5*18) *8*2 = 1872 mm²

A_tg = (60) *8 = 480 mm²

A_tn = (60-18) *8 = 336 mm²

IDEA StatiCa Connection:

The resistance of plate in IDEA is determined at 5% limit strain

Fig 2: Equivalent Stress

Fig 3: Limiting Strain

Comparison:

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.