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Unformatted text preview: 06Ch06.qxd 9/24/08 5:54 AM Page 525 525 SECTION 6.4 Beams with Inclined Loads Solution 6.4-8
4.0 kN # m Mo
Iz 27.4 23.9 a
Iy NEUTRAL AXIS nn 24°
1.54 106 mm4 d 106 mm4
203 mm b 102 mm M0 sin(a) Mz My a 1627 N # m My M0 cos(a) Mz b ; 81.8° MAXIMUM TENSILE STRESS (AT POINT A) BENDING MOMENTS
a tan a tan( a) b
Iy b 3654 N # m smax b
2 Mz a Iy smax d
; 69.4 MPa Problem 6.4-9 A cantilever beam of wide-flange cross section and length y L supports an inclined load P at its free end (see figure).
Determine the orientation of the neutral axis and calculate the maximum
tensile stress smax due to the load P.
Data for the beam are as follows: W 10 45 section, L 8.0 ft, P 1.5 k,
and a 55°. (Note: See Table E-1a of Appendix E for the dimensions and properties of the beam.) P
z C Probs. 6.4-9 and 6.4-10 Solution 6.4-9 Cantilever beam with inclined load
My (P cos a)L 82,595 lb-in. Mz (P sin a)L 117,960 lb-in. NEUTRAL AXIS nn (EQ. 6-23)
u a 90°
Iz tan b Iy b
P 1.5 k
8.0 ft 96 in. a 55° (see Fig. 6-15)
53.4 tan u 3.2519 ; 72.91° 1500 lb L 35° W 10
d MAXIMUM TENSILE STRESS (POINT A) (EQ. 6-18)
yA 45 53.4 in.4
10.10 in. b/2 Iz
b 248 in.4
8.02 in. d/2 smax sA 4.01 in.
My zA Mz yA Iy Iz 8600 psi ; ...
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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