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1
Tutorial Five Solutions
Q1 (0.5 point):
Raman spectroscopy
.
Q2 (0.5 point):
Fatigue stress is reduced near welded joints. X
Q3 (2 points):
The load will be shared equally, as top and bottom weld lengths are proportional to
distance from the line of action of the load, i.e. aL
1
=bL
2
(load is not eccentric). Hence the
load acts through the centroid of the weld group and does not twist the weld (in this case,
there is no bending; the following equation can be directly used to calculate the shear
stress).
1
2
P
25000
=
42.08969
42.1 (MPa) Ans.
(L
)
2
(80 40)(7)
2
shear stress
L t
τ
=
=
≈
+
+
Q4 (3 points):
Since aL
1
is not equal to bL
2
(load is eccentric and there is twisting on the weld).
The weld centroid is now midway. The moment that twists the weld is:
25000( )(10
)
250,000
twisting
M
N
mm
Nmm
=
=
This moment will cause components of torsional shear at each end of the welds. The
polar second moment of area of the welds is:
2
3
3
3
3
3
3
2
2
Ignore the t and t iterms.
50(60 2 )
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 Three '11
 BillDaniel
 Stress

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