36. A sign of weight W is supported at its base by four bolts anchored in a concrete footing. Wind pressure p acts normal to the surface of the sign; the resultant of the uniform wind pressure is force F at the center of pressure. The wind force is assumed to create equal shear forces F14 in the y-direction at each bolt [see figure parts (a) and (c)]. The overturning effect of the wind force also causes an uplift force R at bolts A and C and a downward force (-R) at bolts B and D [see figure part (b)]. The resulting effects of the wind, and the associated ultimate stresses for each stress condition, are: normal stress in each bolt (o = 410 MPa); shear through the base plate (T,= 115 MPa); hori- zontal shear and bearing on each bolt (Thu = 170 MPa and ou = 520 MPa); and bearing on the bottom washer at B (or D) (Obw = 340 MPa). FH = Rh 2 Pipe column W One half of over - turning Sign (L, X L) moment about x axis acts dp on each bolt pair Resultant Lh Base of wind dw B plate (Ibp) C.P. pressure F14 Footing F W Lv 4. Compression Tension R Pipe column z b (b) D y Overturning H moment B. about x axis FH FH y Ab=300 mm- FH A h F at each 4 bolt W at each 4 bolt -h = 350 mm- W R+ (a) W 4 R W R- 4 (c) PROB. 36 ...

Structural Analysis
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Chapter2: Loads On Structures
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36. A sign of weight W is supported at its base by four bolts anchored in a concrete footing. Wind pressure p acts
pormal to the surface of the sign; the resultant of the uniform wind pressure is force F at the center of pressure. The
wind force is assumed to create equal shear forces F14 in the y-direction at each bolt [see figure parts (a) and (c)].
The overturning effect of the wind force also causes an uplift force R at bolts A and C and a downward force (-R)
at bolts B and D [see figure part (b)]. The resulting effects of the wind, and the associated ultimate stresses for each
stress condition, are: normal stress in each bolt (o = 410 MPa); shear through the base plate (T, = 115 MPa); hori-
zontal shear and bearing on each bolt (Thu = 170 MPa and ou = 520 MPa); and bearing on the bottom washer at B
(or D) (obw = 340 MPa).
Pipe column
W
FH
= Rh
2
One half of over - turning
Sign (L, X L)
moment about x axis acts
Lh
d,
on each bolt pair
Resultant
of wind
dw
Base
C.P.
plate (fp)
pressure
-F14
Footing
F
W
4.
Pipe
Tension
R.
R
Compression
column
z b
(b)
D
C
Overturning
H
moment
about x axis
FH
FH
FH
F
at each
4
bolt
2.
4b%=D300 mm-
W
at each
4
bolt
-h = 350 mm
W
R+7
(a)
F
W
R-
4
F
W
R-
(c)
PROB. 36
Transcribed Image Text:36. A sign of weight W is supported at its base by four bolts anchored in a concrete footing. Wind pressure p acts pormal to the surface of the sign; the resultant of the uniform wind pressure is force F at the center of pressure. The wind force is assumed to create equal shear forces F14 in the y-direction at each bolt [see figure parts (a) and (c)]. The overturning effect of the wind force also causes an uplift force R at bolts A and C and a downward force (-R) at bolts B and D [see figure part (b)]. The resulting effects of the wind, and the associated ultimate stresses for each stress condition, are: normal stress in each bolt (o = 410 MPa); shear through the base plate (T, = 115 MPa); hori- zontal shear and bearing on each bolt (Thu = 170 MPa and ou = 520 MPa); and bearing on the bottom washer at B (or D) (obw = 340 MPa). Pipe column W FH = Rh 2 One half of over - turning Sign (L, X L) moment about x axis acts Lh d, on each bolt pair Resultant of wind dw Base C.P. plate (fp) pressure -F14 Footing F W 4. Pipe Tension R. R Compression column z b (b) D C Overturning H moment about x axis FH FH FH F at each 4 bolt 2. 4b%=D300 mm- W at each 4 bolt -h = 350 mm W R+7 (a) F W R- 4 F W R- (c) PROB. 36
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