Stress Analysis on Spiral Weld: Mechanics Problem Solution

_______________________________________________________________________
PROBLEM (9.14) Calculate the normal and shearing stresses on the spiral weld of the steel shaft of
diameter d acted upon by an axial load P and a torque T as shown in Fig. P9.14.
Given: P = 200 kN, T = 2 kN⋅m, d = 50 mm,
φ
= 60°
SOLUTION
o
150906090 =+=+= αθ
3
2
200 10 102
(0.05)
4
x
M
Pa σπ
×
==
x
'
3
3
16(2 10 ) 81.5
(0.05)
M
Pa τπ
−
×
==
xP
A
σ
=
3
θ
x
16
τ
xy T
d
π
=
y
'
Equations(8.4):
'102 102 cos300 81.5cos300 147.1
22 oo
wx
M
Pa σσ == + + =
and
'' 102sin300 81.5cos300 44.2 40.75
2oo
wxy
ττ ==− − = − MPa45.3=
x
x’
147.1 MPa
3.45 MPa
y’
150 o
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