Numerical - Strength of welded joint, given allowable shear stress

Q.  Calculate strength of the welded joint shown below, when 70 MPa is the allowable shear stress for the weld material.
- Published on 14 Sep 15

a. 54.44 x 103 N
b. 77 x 103 N
c. 50 x 103 N
d. None of the above

ANSWER: 54.44 x 103 N

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. The figure shown above is lap weld in which two plates are overlapped and the the intersecting edge is welded.

Given: Allowable shear stress = 70 Mpa, h = 10 mm, l = 110 mm

Formula: Strength of welded joint = (τ h l) / √2

here, τ = permissible shear stress, h = weld size, l = length of weld

Solution:

Substituting the given values we get,

Strength of welded joint = (τ h l) / √2

= (70 x 10 x 110) / √2

= 54.44 x 103 N

Strength of welded joint is 54.44 x 103 N.

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