sm7 48

________________________________________________________________________
PROBLEM (7.48) A T-shaped beam with an overhang is supported and loaded as shown in Fig.
7.48. Calculate:
(a) The shear stress at a point 2 m from A and 25 mm from the top of the beam.
(b) The greatest shearing stress.
SOLUTION
Refer to Example 7.3:
20
y
z
30
20
60
50
m
102.5 mm
5
V
E
x
V, kN
1.75 m
25
1.25
m
B
E
3
-7
C
2 m
Dimensions are
in millimeters.
64
1.36 10
I
m
−
=×
From geometry:
0.75 1.75,3
7E
E
Vk
V==N
(a)
33
108.245.7205202060 mmQ ×=××+××=
36
63
3 10 (24.8 10 ) 2.74
1.36 10 (20 10 )
EVQ
M
Pa
Ib
τ
−
−−
××
== =
××
(b)
33
max 1025255020 mmQ ×=××=
36
max
max 63
7 10 (25 10 ) 6.43
1.36 10 (20 10 )
VQ
M
Pa
Ib
τ
−
−−
××
== =
××
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