A wooden beam is fabricated from one 2 x 8 and two 2 x 10 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 213 Ib in direct shear. The allowable shear stress of the wood is 76 psi. Assume b1=8 in., b2= 2 in., d1= 2 in., d2= 10 in. (a) If the nails are uniformly spaced at an interval of s = 2.9 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.) b1 Nails d2 Answers: (a) V = i Ib. (b) s = i in.

A wooden beam is fabricated from one 2 x 8 and two 2 x 10 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 213 Ib in direct shear. The allowable shear stress of the wood is 76 psi. Assume b1=8 in., b2= 2 in., d1= 2 in., d2= 10 in. (a) If the nails are uniformly spaced at an interval of s = 2.9 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.) b1 Nails d2 Answers: (a) V = i Ib. (b) s = i in.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Composite Construction

Composite construction is the construction of structures in which two or more materials are used. Regarding structural engineering, composite construction is a construction where two materials are bound together in a technical manner such that both the materials act as a single unit to carry and transfer the load. The motives of composite construction are to increase the structural strength, make structures more aesthetic, and provide a sustainable environment.

Question

A wooden beam is fabricated from one 2 x 8 and two 2 x 10 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 213 Ib in direct shear. The allowable shear stress
of the wood is 76 psi. Assume b1=8 in., b2= 2 in., d1= 2 in., d2= 10 in.
(a) If the nails are uniformly spaced at an interval of s = 2.9 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.)
b1
Nails
d2
Answers:
(a) V =
i
Ib.
(b) s =
i
in.

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