
52 Forensic Engineering Fundamentals
σ
1
37 42==
RFlexuralStress
.
(2.105)
σ
2
533== =
RDirectStress
.
(2.106)
Sum of two tensile stresses
42 75.
(2.107)
e torsional shearing stress at A is
τ=
R
12 47
.
(2.108)
J = polar moment = 2I.
Maximum stresses at A are
τ
(. )(.)[. .].=+=×+× =21 375 12 47 4 5689 10 155102475
22 22
RR
(2.109)
σ
P1
=+=21 375 24 75 46 125...RR R
(2.110)
σ
P2
=−=−21 375 24 75 3 375...RR R
(2.111)
According to the maximum normal stress theory using 64 ksi steel at max
64 = = = 46.125
1.39kip
f P1
ττ R
R =
(2.112)
According to the maximum shear stress theory
64/2= ==24.75
1.29kip
fmax
ττ R
R =
(2