A beam is comprised of two 2 in. x 8 in. boards and one 1 in. x 8 in. boardnailed 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. kipsand 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 surfacec. The magnitude of the maximum flexural stress based on the maximum bendingmomentd. Determine the first moment of the area of the beam's top flange about the neutralsurface.e. Determine the maximum nail spacing, s.f. Indicate (in words) where the maximum shear stress occurs on the cross-sectionshown.g. Determine the first moment of the beam cross-section's area to use in the shearformula to compute the maximum shear stress.h. Determine the maximum shear stress in the beam.-8 in2 in.1in.8 in.2 in.

Solution:- Distance of neutral surface from bottom, Y=A1×Y1+A2×Y2+A3×Y3A1+A2+A3…

Answered: The distance from the bottom fiber of…

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

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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Question

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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