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Shear Stress for Long Fillet Weld Subjected to Torsion Calculator

Formula

The formula to calculate the Torsional Shear Stress (σs) is:

$\sigma_s = \frac{3 \cdot M_{tt}}{h_t \cdot L^2}$

Definition

Torsional Shear Stress is the shear stress produced against torsional load or twisting load. Torsional moment in welded shaft is the torque applied to generate a torsion (twist) within the shaft. Throat thickness of weld is the shortest distance from the root to the face of the weld. The Length of Weld is the linear distance of the welding segment joined by the welded joint.

Example Calculation

Let's assume the following values:

Torsional Moment in Welded Shaft (Mtt) = 1300 Newton Meter
Throat Thickness of Weld (ht) = 0.015 Meter
Length of Weld (L) = 0.195 Meter

Using the formula:

$\sigma_s = \frac{3 \cdot 1300}{0.015 \cdot 0.195^2} \approx 6837606.83760684$

The Torsional Shear Stress is approximately 6837606.83760684 Pascal.

Conversion Chart

Torsional Moment (Newton Meter)	Throat Thickness (Meter)	Length of Weld (Meter)	Torsional Shear Stress (Pascal)
1200	0.015	0.195	6,311,637.080867850221694
1250	0.015	0.195	6,574,621.959237343631685
1300	0.015	0.195	6,837,606.837606837041676
1350	0.015	0.195	7,100,591.715976331382990
1400	0.015	0.195	7,363,576.594345824792981