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The distance from the bottom fiber of the beam to the neutral surface. The moment of inertia of the cross-section with respect to the neutral surface

The distance from the bottom fiber of the beam to the neutral surface. The moment of inertia of the cross-section with respect to the neutral surface

Steel Design (Activate Learning with these NEW titles from Engineering!)
Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN:9781337094740
Author:Segui, William T.
Publisher:Segui, William T.
Chapter10: Plate Girders
Section: Chapter Questions
Problem 10.7.9P
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A beam is comprised of two 2 in. x 8 in. boards and one 1 in. x 8 in. board nailed together as shown (nails in red). Each nail can resist vNai = 706.5 lb in shear. The beam is loaded such that the beam's maximum bending moment is +1423 in. kips and the maximum shear force is 5024 Ib. Determine the following: a. The distance from the bottom fiber of the beam to the neutral surface. b. The moment of inertia of the cross-section with respect to the neutral surface c. The magnitude of the maximum flexural stress based on the maximum bending moment d. Determine the first moment of the area of the beam's top flange about the neutral surface. e. Determine the maximum nail spacing, s. f. Indicate (in words) where the maximum shear stress occurs on the cross-section shown. g. Determine the first moment of the beam cross-section's area to use in the shear formula to compute the maximum shear stress. h. Determine the maximum shear stress in the beam. -8 in 2 in. 1in. 8 in. 2 in.
Transcribed Image Text:A beam is comprised of two 2 in. x 8 in. boards and one 1 in. x 8 in. board nailed together as shown (nails in red). Each nail can resist vNai = 706.5 lb in shear. The beam is loaded such that the beam's maximum bending moment is +1423 in. kips and the maximum shear force is 5024 Ib. Determine the following: a. The distance from the bottom fiber of the beam to the neutral surface. b. The moment of inertia of the cross-section with respect to the neutral surface c. The magnitude of the maximum flexural stress based on the maximum bending moment d. Determine the first moment of the area of the beam's top flange about the neutral surface. e. Determine the maximum nail spacing, s. f. Indicate (in words) where the maximum shear stress occurs on the cross-section shown. g. Determine the first moment of the beam cross-section's area to use in the shear formula to compute the maximum shear stress. h. Determine the maximum shear stress in the beam. -8 in 2 in. 1in. 8 in. 2 in.
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