# Welding Design Tutorial for Correct Welding Size Calculation and Preparing Welding Drawing for Torsion Load

## A Typical Example

In the above example a shaft is welded to a plate and a pure torsion load (F) is acting on the shaft.

Input data:

Applied torsion load F = 100000 N

Design strength of welding Fw = 220 N/mm2

Radius of the shaft R = 50 mm

Desired Output:

Welding throat thickness (t) and leg length (s)

## Welding Size Calculation Procedure by Line Method

• The first thing you need to calculate here is torsional moment (M).

M=F*R=5000000 N-mm

• Calculate unit throat area (Au) of the welding as below:

Au = 2*pi*R = 314 mm2

• Calculate unit polar moment of inertia (Ju) of the welding joint using the equation from standard table and putting the value of height of the fillet (a) = 1 like below:

J =2*pi*a*(r+0.5*a) 3

Ju =2*pi*(r+0.5)3 (by putting a=1)

=808786.285 mm4

• Calculate torsional shear stress (T) using the following equation:

T =M*R/Ju

=309.1 N/mm2

• Calculate welding throat thickness (t) as below:

t = T/Fw

=1.4 mm

• Finally calculate the welding leg length of welding size (s) as below:

s = 1.414*t

= 1.97 mm (take 2mm welding size)

## Conclusion

Welding design procedure explained in this welding design tutorial is based on BS 5950 and is called the line method. The height of the fillet weld is assumed as one for moment of inertia and area calculation in the case of the line method. Welding size calculation for torsion load can always be verified by using FEA tools.