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Unformatted text preview: 08Ch08.qxd 9/18/08 11:06 AM Page 693 693 SECTION 8.5 Combined Loadings Problem 8.5-16 A sign is supported by a pipe (see figure) having outer 2.0 m diameter 110 mm and inner diameter 90 mm. The dimensions of the
sign are 2.0 m 1.0 m, and its lower edge is 3.0 m above the base.
Note that the center of gravity of the sign is 1.05 m from the axis of the
pipe. The wind pressure against the sign is 1.5 kPa.
Determine the maximum in-plane shear stresses due to the wind
pressure on the sign at points A, B, and C, located on the outer surface
at the base of the pipe. Rose’s
Editing Co. 1.0 m 1.05 m
to c.g. Pipe 110 mm
X B X A A B C Section X-X Solution 8.5-16
64 2 Ip 2I Q 1
12 2 Q d1 A 2m2
a3 + b 1.05 m 4
d 1) Ip 90 mm
I 7.933 t 3.966 10 mm MAXIMUM SHEAR STRESS AT POINT A 5.017 * 104 mm3 h SIGN: 110 mm 106 mm4 106 mm4 d 32
2 Height from the base to
the center of gravity of
the sign sx 0 sy Md 2
2I sy 145.603 MPa txy horizontal distance
from the center of
gravity of the sign to
the axis of the pipe Td 2
2Ip txy 21.84 MPa tmax WIND PRESSURE pw
P 1.5 kPa
pw A P A tmax 76.0 MPa 3 kN STRESS RESULTANTS AT THE BASE
M Ph M 10.5 kN # m T Pb T 3.15 kN # m V P V 3 kN a sy sx
2 C 2 b + t2
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.
- Fall '11