A bracket connection is made with four bolts of 10 mm diameter

A bracket connection is made with four bolts of 10 mm diameter and supports a load of 10 kN at an eccentricity of 100 m. The maximum force to be resisted by any bolt will be

Vertical load resisted/bolt = 10/4 = 2.5 kN
Torsion, T = 10 × 100 = 1000 kNm.
Radial distance of bolt = √30² + 40² = 50 mm

∴ Torsion shear =	M × r
	Σ r²

	1000 × 50	= 5 kN
	(4 × 50)²

θ = tan^{- 1}		30		= 36.9°
		40

Resultant R = √2.5² + 5² + 2 × 2.5 × 5 × cos36.9°
= 7.16 kN