Question

A circular shaft, 50 mm in diameter is welded to the support by means of circumferential fillet weld as shown in figure. It is subjected to bending moment of 2486 Nm. What will be the size of the weld if the permissible tensile stress in the weld is limited to $140N/m{m}^2$?

• A. 25.572 mm
• B. 6.393 mm
• C. 3.196 mm
• D. 12.786 mm

Answer 1

The correct option is D 12.786 mm

Bending stress, $\sigma =\frac{M}{\pi \times r^2\times t}$

$140=\frac{2486}{\pi \times t\times {25}^2}$

$t=9.04\times {10}^{-3}m$

$t=9.04mm$

Size of weld, h = $\frac{t}{0.707}$

h = 12.786 mm

h $\underset{–}{\sim }$ 13 mm