2) The box beam is constructed from four boards that are fastened together using nails spaced along the beam every 2 inches. The beam is subjected to a maximum internal shear force of 475 lb. a) Locate the neutral axis and compute the moment of inertia for the cross-section in in4. [Ans. to check: 1 = 197.7 in¹] b) Calculate the first moment of area in in³ at each of the two connection interfaces (i.e. once for the top flange and once for the bottom board). Draw a clear sketch of the cross-section showing the neutral axis and the necessary dimensions to calculate the first moment of area. [Ans. to Check: Qtop = 31.2 in³] c) Compute the shear flow occurring between the wood and the nails at each of the two connection interfaces in lb/in. [Ans. to Check: qbottom= 49.0 lb/in] d) Design the section by choosing the required shear strength of the nails (in /b). Check both interfaces but choose only one assuming you would like to use the same nails for the entire beam. [Ans. to check: 75 lb per nail] 2 in. 1 in. 12 in.O 6 in. 1 in. 5 in. -1 in.
2) The box beam is constructed from four boards that are fastened together using nails spaced along the beam every 2 inches. The beam is subjected to a maximum internal shear force of 475 lb. a) Locate the neutral axis and compute the moment of inertia for the cross-section in in4. [Ans. to check: 1 = 197.7 in¹] b) Calculate the first moment of area in in³ at each of the two connection interfaces (i.e. once for the top flange and once for the bottom board). Draw a clear sketch of the cross-section showing the neutral axis and the necessary dimensions to calculate the first moment of area. [Ans. to Check: Qtop = 31.2 in³] c) Compute the shear flow occurring between the wood and the nails at each of the two connection interfaces in lb/in. [Ans. to Check: qbottom= 49.0 lb/in] d) Design the section by choosing the required shear strength of the nails (in /b). Check both interfaces but choose only one assuming you would like to use the same nails for the entire beam. [Ans. to check: 75 lb per nail] 2 in. 1 in. 12 in.O 6 in. 1 in. 5 in. -1 in.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![2) The box beam is constructed from four boards that are fastened together using nails spaced along
the beam every 2 inches. The beam is subjected to a maximum internal shear force of 475 lb.
a) Locate the neutral axis and compute the moment of inertia for the cross-section in in*. [Ans. to
check: 1 = 197.7 in¹]
b) Calculate the first moment of area in in³ at each of the two connection interfaces (i.e. once for
the top flange and once for the bottom board). Draw a clear sketch of the cross-section showing
the neutral axis and the necessary dimensions to calculate the first moment of area. [Ans. to
Check: Qtop = 31.2 in³]
c)
Compute the shear flow occurring between the wood and the nails at each of the two
connection interfaces in lb/in. [Ans. to Check: qbottom = 49.0 lb/in]
d)
Design the section by choosing the required shear strength of the nails (in lb). Check both
interfaces but choose only one assuming you would like to use the same nails for the entire
beam. [Ans. to check: 75 lb per nail]
2 in.
1 in.
12 in.
.6 in.
1 in.
5 in.
1 in.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccae5729-7489-41ed-a32a-24cdd49b7598%2Fc588edc3-8e2a-4e2b-9382-48f47332b802%2F1p0z5ke_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2) The box beam is constructed from four boards that are fastened together using nails spaced along
the beam every 2 inches. The beam is subjected to a maximum internal shear force of 475 lb.
a) Locate the neutral axis and compute the moment of inertia for the cross-section in in*. [Ans. to
check: 1 = 197.7 in¹]
b) Calculate the first moment of area in in³ at each of the two connection interfaces (i.e. once for
the top flange and once for the bottom board). Draw a clear sketch of the cross-section showing
the neutral axis and the necessary dimensions to calculate the first moment of area. [Ans. to
Check: Qtop = 31.2 in³]
c)
Compute the shear flow occurring between the wood and the nails at each of the two
connection interfaces in lb/in. [Ans. to Check: qbottom = 49.0 lb/in]
d)
Design the section by choosing the required shear strength of the nails (in lb). Check both
interfaces but choose only one assuming you would like to use the same nails for the entire
beam. [Ans. to check: 75 lb per nail]
2 in.
1 in.
12 in.
.6 in.
1 in.
5 in.
1 in.
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