A wooden beam is fabricated from one 2 × 10 and two 2 x 8 dimension lumber boards to form the double-tee cross section shown. Th beam flange is fastened to the stem with nails. Each nail can safely transmit a force of 167 lb in direct shear. The allowable shear stres of the wood is 80 psi. Assume b; = 10 in., b2= 2 in., d1 = 2 in., d2 = 8 in. (a) If the nails are uniformly spaced at an interval of s = 1.9 in. along the span, what is the maximum internal shear force V that can be supported by the double-tee cross section? (b) What nail spacing s would be necessary to develop the full strength of the double-tee shape in shear? (Full strength means that the maximum horizontal shear stress in the double-tee shape equals the allowable shear stress of the wood.)
A wooden beam is fabricated from one 2 × 10 and two 2 x 8 dimension lumber boards to form the double-tee cross section shown. Th beam flange is fastened to the stem with nails. Each nail can safely transmit a force of 167 lb in direct shear. The allowable shear stres of the wood is 80 psi. Assume b; = 10 in., b2= 2 in., d1 = 2 in., d2 = 8 in. (a) If the nails are uniformly spaced at an interval of s = 1.9 in. along the span, what is the maximum internal shear force V that can be supported by the double-tee cross section? (b) What nail spacing s would be necessary to develop the full strength of the double-tee shape in shear? (Full strength means that the maximum horizontal shear stress in the double-tee shape equals the allowable shear stress of the wood.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A wooden beam is fabricated from one 2 x 10 and two 2x8 dimension lumber boards to form the double-tee cross section shown. The
beam flange is fastened to the stem with nails. Each nail can safely transmit a force of 167 lb in direct shear. The allowable shear stress
of the wood is 80 psi. Assume bị = 10 in., b2= 2 in, d1 = 2 in., dz= 8 in.
(a) If the nails are uniformly spaced at an interval of s = 1.9 in. along the span, what is the maximum internal shear force V that can be
supported by the double-tee cross section?
(b) What nail spacing swould be necessary to develop the full strength of the double-tee shape in shear? (Full strength means that the
maximum horizontal shear stress in the double-tee shape equals the allowable shear stress of the wood.)
b1
Nails
|dz
dosk
b2
Answers:
(a) V =
1385.91
Ib.
(b) s = i
1.044
in.
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