P9.27 A wooden I beam is fabricated from three pieces of dimension lumber as The beam will be used as a simply supported beam to carry a concentrated load. 620 kPa. The flanges of the beam are fastened to the web with screws that can sa (a) If the screws are uniformly spaced at an interval s = 200 mm along the span, connections? Demonstrate that the maximum bending and shear stresses produ (h) Datorming the magnitude of the load R that produces the allowable bonding

Structural Analysis
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Chapter2: Loads On Structures
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P9.27 A wooden I beam is fabricated from three pieces of dimension lumber as shown in Figure P9.27. The cross-sectional dimensions are bƒ = 90 mm, tƒ = 40 mm, d = 240 mm, and tw = 40 mm.
The beam will be used as a simply supported beam to carry a concentrated load P at the center of a 5 m span. The wood has an allowable bending stress of 8,300 kPa and an allowable shear stress of
620 kPa. The flanges of the beam are fastened to the web with screws that can safely transmit a force of 800 N in direct shear.
y
dw
FIGURE P9.27
(a) If the screws are uniformly spaced at an interval s = 200 mm along the span, what is the maximum concentrated load P that can be supported by the beam, given the strength of the screw
connections? Demonstrate that the maximum bending and shear stresses produced by P are acceptable.
(b) Determine the magnitude of the load P that produces the allowable bending stress in the span (i.e., σ₂ = 8,300 kPa). What screw spacing s is required to support this load?
Transcribed Image Text:P9.27 A wooden I beam is fabricated from three pieces of dimension lumber as shown in Figure P9.27. The cross-sectional dimensions are bƒ = 90 mm, tƒ = 40 mm, d = 240 mm, and tw = 40 mm. The beam will be used as a simply supported beam to carry a concentrated load P at the center of a 5 m span. The wood has an allowable bending stress of 8,300 kPa and an allowable shear stress of 620 kPa. The flanges of the beam are fastened to the web with screws that can safely transmit a force of 800 N in direct shear. y dw FIGURE P9.27 (a) If the screws are uniformly spaced at an interval s = 200 mm along the span, what is the maximum concentrated load P that can be supported by the beam, given the strength of the screw connections? Demonstrate that the maximum bending and shear stresses produced by P are acceptable. (b) Determine the magnitude of the load P that produces the allowable bending stress in the span (i.e., σ₂ = 8,300 kPa). What screw spacing s is required to support this load?
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