05-02ChapGere.0009

05-02ChapGere.0009 - over the entire floor area(This load...

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Problem 5.6-13 A compound beam ABCD (see figure) is supported at points A , B , and D and has a splice (represented by the pin connection) at point C . The distance a 5 6.0 ft and the beam is a W 16 3 57 wide-flange shape with an allowable bending stress of 10,800 psi. Find the allowable uniform load q allow that may be placed on top of the beam, taking into account the weight of the beam itself. Solution 5.6-13 Compound beam 312 CHAPTER 5 Stresses in Beams (Basic Topics) C A a 4 a 4 a B D q Pin Pin connection at point C. q allow 5 q max 2 (weight of beam) D ATA : a 5 6 ft 5 72 in. s allow 5 10,800 psi W 16 3 57 S 5 92.2 in. 3 A LLOWABLE UNIFORM LOAD 5 922 lb/ft q allow 5 922 lb/ft 2 57 lb/ft 5 865 lb/ft q max 5 2(10,800 psi)(92.2 in. 3 ) 5(72 in.) 2 5 76.833 lb / in. q max 5 2 s allow S 5 a 2 M max 5 5 q a 2 2 5 s allow S C A a 4 a 4 a B D q Pin R A 5 11 qa 8 R B 5 45 qa 8 R D 5 2 qa A 2 a 2 a B D M 11 a 8 2 qa 2 C 121 128 qa 2 5 qa 2 2 ] Problem 5.6-14 A small balcony constructed of wood is supported by three identical cantilever beams (see figure). Each beam has length L 1 5 2.1 m, width b , and height h 5 4 b /3. The dimensions of the balcony floor are L 1 3 L 2 , with L 2 5 2.5 m. The design load is 5.5 kPa acting
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Unformatted text preview: over the entire floor area. (This load accounts for all loads except the weights of the cantilever beams, which have a weight density g 5 5.5 kN/m 3 .) The allowable bending stress in the cantilevers is 15 MPa. Assuming that the middle cantilever supports 50% of the load and each outer cantilever supports 25% of the load, determine the required dimensions b and h . Solution 5.6-14 Cantilever beam for a balcony 4 b — 3 h = L 2 L 1 b L 1 5 2.1 m L 2 5 2.5 m Floor dimensions: L 1 3 L 2 Design load 5 w 5 5.5 kPa g 5 5.5 kN/m 3 (weight density of wood beam) s allow 5 15 MPa M IDDLE BEAM SUPPORTS 50% OF THE LOAD . W EIGHT OF BEAM 5 7333 b 2 (N/m) ( b 5 meters) q 5 g bh 5 4 g b 2 3 5 4 3 (5.5 kN / m 2 ) b 2 ∴ q 5 w ¢ L 2 2 ≤ 5 (5.5 kPa) ¢ 2.5 m 2 ≤ 5 6875 N / m 4 b — 3 h = b L 1 q A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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