sm7 57

________________________________________________________________________
PROBLEM (7.57) A beam of the cross section shown in Fig. P7.53 is loaded as shown in Fig. P7.57.
Calculate the maximum shearing stress in the beam.
SOLUTION
,
015)3(20)5.3)(1(4)4(:0 =+−−=
∑BA RM kNRB75.14
=
∑== kNRF Ay 25.9:0
From solution of Prob. 7.53: .
43
107.18 mI ×=
9.25
V, kN
x
-10.75
B
1 m
14.75 kN
1 m
2 m
A
D
C
15 ki
p
⋅
m
20 kN 4 kN/
m
9.25 kN
-14.75
y
z
100
20
20
25 25
100
Dimensions are
in millim
ete
r
s
C
mmQ 3
max 105.1822550503570100 ×=××−××=
36
max max
max 63
14.75 10 (182.5 10 ) 2.871
18.7 10 (2 25 10 )
VQ
M
Pa
Ib
τ
−
−−
××
== =
×××
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