Question #137243
. A 200 × 150 × 10 angle is to be welded to a steel plate by fillet welds as shown in Figure. If
the angle is subjected to a static load of 300kN, find the length of weld at the top & bottom.
The allowable shear stress may be taken as 75 N/mm2
.
1
Expert's answer
2020-10-08T15:10:10-0400

Given static loading =300 kN = 300 ×103\times 10^3 N ,here dimension is given as 200 ×150×10\times 150\times 10 ,

permissible shear stress= 75 kNmm2\frac{kN}{mm^2} ,here a+b=200


s= size of weld = thickness= 10 ,we know that

for single weld

300×103=0.707×s×l×τ300 \times 10 ^3=0.707 \times s \times l\times \tau

on putting value we can get value of l

l= 303.09 mm

la+lb=565.77l_a+ l_b=565.77

now distance of centroidal axis from bottom angle

b=55.3 and a= 144.7 so

la=l×ba+bl_a= \frac{l\times b}{a+b}

la=156.44l_a=156.44 and lb=366.88l_b= 366.88

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