# Numerical - Load carrying capacity, given weld size & shear stress

Q.  In the diagram shown below la = lb = 100 mm, what is the load carrying capacity if weld size is 15 mm and shear stress for the weld is 100 MPa
- Published on 14 Sep 15

a. 200 kN
b. 310 kN
c. 212.13 kN
d. 121.13 kN

#### Discussion

• Sravanthi   -Posted on 06 Nov 15
Shear stress: The component of stress which is coplanar with the material cross section is called as shear stress. It is the force tending to cause deformation of material along the plane which is parallel to the imposed stress.

Given: la = lb = 100 mm, weld size = 15 mm, shear stress =100 Mpa

Formula:

1)W = τ t (l1 + l2)

2) h = t / √2

Solution:

Substituting the given values we get,

1) h = 15 / √2

Load carrying capacity (W) = [100 x 15 x (100 +100)] / √2

= 212.13 x 103 N

= 212.13 kN

Load carrying capacity = 212.13 kN

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