ME $4213-$ WELDNG ENGNERNG$-$I, FALL $2024$

HOMEWORK # $3-$Weld Design $(1)$

Set date$-9\mathrm{.}19\mathrm{.}24,$ Due Date $-9\mathrm{.}27\mathrm{.}2024(50$ marks$)$

Q#$1$:

Fig$\mathrm{.}1$: Cantilever bean In$-$plane loading condition.

A cantilever beam is fillet$-$welded with fillet welds AB $($top weld$-100$ mm

weld$)$ and BC $(-$Side weld, $150$ mm weld$)$ with a base of a foundation for a ship$-$

building construction. The throat of the fillet weld is $"t"$ mm $,$ and the leg size is $"h"$

mm could be taken for weld calculations. A $20-$ kN load is applied at the eye, D and

the cantilever is welded under $"$in$-$plane" condition which could give rise to

secondary shear stress. XY$-$ axes shown in fig. $1$ above. The load is applied at $300$

mm from $Y-$ axis. Electrode E$6010$ welding rod was used for fillet weld having yield

strength of $345$ MPa $.$ A Factor of safety of $2\mathrm{.}5$ can be used along with initiation of

yielding for Von$-$Mises criteria for the determination of initiation of yielding. It is

also assumed that cantilever will not fail but failure could occur at the weld throat

section $("$t$").$

Through in$-$plane loading calculations, you are required to determine the

weld throat size $($ t $)$ in mm and the leg$-$size of the weld $($ h mm $).$ Calculate also the

maximum total shear stresses that could arise at the locations of point A and $C,$ at

the extreme ends of the welding; and do you think there could be general yielding

occurring at these two locations?