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Chapter 5,
calculate the maximum shear stress in the web of the beam and
compare it with the stress obtained in part (a).
Solution 6.8-3 Wide-flange beam
SECTION 6.8 Beams with Inclined Loads 403
b 5.25 in. h 7.9 in. tw 0.25 in.
tf 0.4 in. V 6.0 k
(a) CALCULATIONS BASED ON CENTERLIN
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with inclined load
SECTION 6.4 Beams with Inclined Loads 393
z
y
C
A
D
P
E
B
L 10.0 ft
P 4.25 k
26.57º
Wide-flange beam:
W 10 30 Iy 16.7 in.4 Iz 170 in.4
d 10.47 in. b 5.810 in.
BENDING MOMENTS
Mz
P(cos )L
4
114,030 lb-in.
My
P(sin )L
4
57,030 lb-in
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Problem 5.7-2 A tall signboard is supported by two vertical
beams consisting of thin-walled, tapered circular tubes (see
figure). For purposes of this analysis, each beam may be
represented as a cantilever AB of length L 8.0 m subjected
to a lateral load P 2.4 kN at the free end. The tubes h
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CHAPTER 7 Analysis of Stress and Strain
y
O x
3000 psi
x 0 y 0 xy 3000 psi
(a) ELEMENT AT 70
(All stresses in psi)
2 140 70 R 3000 psi
Origin O is at center of circle.
Point D:
Point D:
tx1y1R sin 50 2298 psi
sx1R cos 501928 psi
tx1y1R sin 502298
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Solution 4.3-12 Beam with trapezoidal load
266 CHAPTER 4 Shear Forces and Bending Moments
Reactions
RA 65kN
RB 55kN
RARB12 (50 30 kNm) (3 m) 0 kNm
©FVERT 0
c
(20 kNm)(3 m)(12)(2 m) 0
©MB0 RA(3 m) (30 kNm)(3 m)(1.5 m)
Free-body diagram of section CB
Point
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