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Learning Goal: To calculate the shear stress at the web/flange joint in a beam and use that stress to calculate the required nail spacing to make a built-up beam. A built up beam can be constructed by fastening flat plates together. When an I-beam is subjected to a shear load, internal shear stress is developed at every cross section, with longitudinal shear stress balancing transverse shear stress. If the beam is built up using plates, the fasteners used must be able to resist the shear at the joints. The loading resisted by the fasteners can be described in the force per unit length of the beam and is called the shear flow. The shear flow at some distance y from the neutral axis can be calculated using the shear formula q = VQ where V is the shear force, Q is the moment about the centroidal axis of the cross-sectional area above y, and I is the moment of inertia of the cross section. An engineered wood beam (Figure 1) will replace a portion of a structural wall as part of a house renovation. The beam can be modeled as a simply supported beam with a span = 15 ft and an uniform distributed load = 880 lb/ft. The beam is to be constructed as an I-beam with nails securing the flanges to the web. The flanges are 6 in wide and 1 in thick. The web has depth 18 in and thickness 3 in. The maximum allowable shear stress in the web is 900 psi. ▸ Part A - Maximum shear load Part B - Shear flow at joint What is the maximum shear flow at the joints connecting the web and flange under the applied load of w = 880 lb/ft? Express your answer with appropriate units to three significant figures. ▸ View Available Hint(s) Figure W L F 1 of 1 Value Units '? Submit Previous Answers Request Answer × Incorrect; Try Again; 4 attempts remaining Review your calculations and make sure you round to 3 significant figures in the last step. Part C - Maximum nail spacing Since the nails are joining the flanges to the web, they must resist the shear flow at the joint. What is the maximum spacing for the nails if each nail can support a shear force of 250 lb ? Express your answer with appropriate units to three significant figures. ▸ View Available Hint(s) = 1.77 Submit HA in '? Previous Answers Request Answer

Learning Goal: To calculate the shear stress at the web/flange joint in a beam and use that stress to calculate the required nail spacing to make a built-up beam. A built up beam can be constructed by fastening flat plates together. When an I-beam is subjected to a shear load, internal shear stress is developed at every cross section, with longitudinal shear stress balancing transverse shear stress. If the beam is built up using plates, the fasteners used must be able to resist the shear at the joints. The loading resisted by the fasteners can be described in the force per unit length of the beam and is called the shear flow. The shear flow at some distance y from the neutral axis can be calculated using the shear formula q = VQ where V is the shear force, Q is the moment about the centroidal axis of the cross-sectional area above y, and I is the moment of inertia of the cross section. An engineered wood beam (Figure 1) will replace a portion of a structural wall as part of a house renovation. The beam can be modeled as a simply supported beam with a span = 15 ft and an uniform distributed load = 880 lb/ft. The beam is to be constructed as an I-beam with nails securing the flanges to the web. The flanges are 6 in wide and 1 in thick. The web has depth 18 in and thickness 3 in. The maximum allowable shear stress in the web is 900 psi. ▸ Part A - Maximum shear load Part B - Shear flow at joint What is the maximum shear flow at the joints connecting the web and flange under the applied load of w = 880 lb/ft? Express your answer with appropriate units to three significant figures. ▸ View Available Hint(s) Figure W L F 1 of 1 Value Units '? Submit Previous Answers Request Answer × Incorrect; Try Again; 4 attempts remaining Review your calculations and make sure you round to 3 significant figures in the last step. Part C - Maximum nail spacing Since the nails are joining the flanges to the web, they must resist the shear flow at the joint. What is the maximum spacing for the nails if each nail can support a shear force of 250 lb ? Express your answer with appropriate units to three significant figures. ▸ View Available Hint(s) = 1.77 Submit HA in '? Previous Answers Request Answer

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 51PQ
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Learning Goal: To calculate the shear stress at the web/flange joint in a beam and use that stress to calculate the required nail spacing to make a built-up beam. A built up beam can be constructed by fastening flat plates together. When an I-beam is subjected to a shear load, internal shear stress is developed at every cross section, with longitudinal shear stress balancing transverse shear stress. If the beam is built up using plates, the fasteners used must be able to resist the shear at the joints. The loading resisted by the fasteners can be described in the force per unit length of the beam and is called the shear flow. The shear flow at some distance y from the neutral axis can be calculated using the shear formula q = VQ where V is the shear force, Q is the moment about the centroidal axis of the cross-sectional area above y, and I is the moment of inertia of the cross section. An engineered wood beam (Figure 1) will replace a portion of a structural wall as part of a house renovation. The beam can be modeled as a simply supported beam with a span = 15 ft and an uniform distributed load = 880 lb/ft. The beam is to be constructed as an I-beam with nails securing the flanges to the web. The flanges are 6 in wide and 1 in thick. The web has depth 18 in and thickness 3 in. The maximum allowable shear stress in the web is 900 psi. ▸ Part A - Maximum shear load Part B - Shear flow at joint What is the maximum shear flow at the joints connecting the web and flange under the applied load of w = 880 lb/ft? Express your answer with appropriate units to three significant figures. ▸ View Available Hint(s) Figure W L F 1 of 1 Value Units '? Submit Previous Answers Request Answer × Incorrect; Try Again; 4 attempts remaining Review your calculations and make sure you round to 3 significant figures in the last step. Part C - Maximum nail spacing Since the nails are joining the flanges to the web, they must resist the shear flow at the joint. What is the maximum spacing for the nails if each nail can support a shear force of 250 lb ? Express your answer with appropriate units to three significant figures. ▸ View Available Hint(s) = 1.77 Submit HA in '? Previous Answers Request Answer
Transcribed Image Text:Learning Goal: To calculate the shear stress at the web/flange joint in a beam and use that stress to calculate the required nail spacing to make a built-up beam. A built up beam can be constructed by fastening flat plates together. When an I-beam is subjected to a shear load, internal shear stress is developed at every cross section, with longitudinal shear stress balancing transverse shear stress. If the beam is built up using plates, the fasteners used must be able to resist the shear at the joints. The loading resisted by the fasteners can be described in the force per unit length of the beam and is called the shear flow. The shear flow at some distance y from the neutral axis can be calculated using the shear formula q = VQ where V is the shear force, Q is the moment about the centroidal axis of the cross-sectional area above y, and I is the moment of inertia of the cross section. An engineered wood beam (Figure 1) will replace a portion of a structural wall as part of a house renovation. The beam can be modeled as a simply supported beam with a span = 15 ft and an uniform distributed load = 880 lb/ft. The beam is to be constructed as an I-beam with nails securing the flanges to the web. The flanges are 6 in wide and 1 in thick. The web has depth 18 in and thickness 3 in. The maximum allowable shear stress in the web is 900 psi. ▸ Part A - Maximum shear load Part B - Shear flow at joint What is the maximum shear flow at the joints connecting the web and flange under the applied load of w = 880 lb/ft? Express your answer with appropriate units to three significant figures. ▸ View Available Hint(s) Figure W L F 1 of 1 Value Units '? Submit Previous Answers Request Answer × Incorrect; Try Again; 4 attempts remaining Review your calculations and make sure you round to 3 significant figures in the last step. Part C - Maximum nail spacing Since the nails are joining the flanges to the web, they must resist the shear flow at the joint. What is the maximum spacing for the nails if each nail can support a shear force of 250 lb ? Express your answer with appropriate units to three significant figures. ▸ View Available Hint(s) = 1.77 Submit HA in '? Previous Answers Request Answer
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