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hello, could anyone solve this question by 5/1/2017.
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Machine and design class
Problem 1.
The bracket shown below supports a total load of 60kN. Using a safety factor of 4 and an E60
series welding rod, what size weld should be specified?
Note: Each plate has two 75mm welds and 100mm weld
Solution:
B
A
𝑥̅
d=100mm
C
D
b=75mm
Calculate the center of gravity of the weld segment.
𝑥̅ =
𝑥̅ =
𝑏2
2𝑏 + 𝑑
75𝑚𝑚2
2(75𝑚𝑚) + 100𝑚𝑚
𝑥̅ = 22.5𝑚𝑚
𝑦̅ =
𝑑
= 50𝑚𝑚
2
Unit Second Polar Moment of Area
𝐽𝑢 =
𝐽𝑢 =
8𝑏 3 + 6𝑏𝑑2 + 𝑑 3
𝑏4
−
12
2𝑏 + 𝑑
8(75𝑚𝑚)3 + 6(75𝑚𝑚)(100𝑚𝑚)2 + (100𝑚𝑚)3
(75𝑚𝑚)4
−
12
2(75𝑚𝑚) + (100𝑚𝑚)
𝐽𝑢 = 613020.83 𝑚𝑚4
The area is,
𝐴 = 𝑡(2𝑏 + 𝑑)
𝐴 = 𝑡(2 ∗ 75𝑚𝑚 + 100𝑚𝑚)
𝐴 = 250𝑡 [𝑚𝑚]
Torsion for the total weld is,
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