A cantilever timber beam (FIGURE A) with a span of L = 14.0 ft supports a linearly distributed load with maximum intensity of wo. The beam width is b = 16.00 in. and the beam height is h = 11.75 in. (Figure B). The allowable bending stress of the wood is 1250 psi. Calculate the magnitude of the maximum load wỏ that may be carried by the beam. Wo A FIGURE A S = i Mallow = i Determine the section modulus for the rectangular cross-section about the horizontal centroidal axis. Mmax = L wo = B Determine the maximum magnitude allowable internal moment. Since you're entering the magnitude, enter a positive value. i i in.³ Calculate the maximum internal moment magnitude at any location along the beam in terms of wo. In the input field, enter the numerical value of the coefficient of wo when the maximum moment is written as a function of wo. Input the value assuming the moment has units of lb-ft and wo has units of lb/ft. Since you're entering a magnitude, enter a positive value. FIGURE B lb-ft b wo h lb/ft lb-ft Calculate the magnitude of the maximum load wo that may be carried by the beam.
A cantilever timber beam (FIGURE A) with a span of L = 14.0 ft supports a linearly distributed load with maximum intensity of wo. The beam width is b = 16.00 in. and the beam height is h = 11.75 in. (Figure B). The allowable bending stress of the wood is 1250 psi. Calculate the magnitude of the maximum load wỏ that may be carried by the beam. Wo A FIGURE A S = i Mallow = i Determine the section modulus for the rectangular cross-section about the horizontal centroidal axis. Mmax = L wo = B Determine the maximum magnitude allowable internal moment. Since you're entering the magnitude, enter a positive value. i i in.³ Calculate the maximum internal moment magnitude at any location along the beam in terms of wo. In the input field, enter the numerical value of the coefficient of wo when the maximum moment is written as a function of wo. Input the value assuming the moment has units of lb-ft and wo has units of lb/ft. Since you're entering a magnitude, enter a positive value. FIGURE B lb-ft b wo h lb/ft lb-ft Calculate the magnitude of the maximum load wo that may be carried by the beam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A cantilever timber beam (FIGURE A) with a span of L = 14.0 ft supports a linearly distributed load with maximum intensity of wo.
The beam width is b = 16.00 in. and the beam height is h = 11.75 in. (Figure B). The allowable bending stress of the wood is 1250
psi. Calculate the magnitude of the maximum load wo that may be carried by the beam.
Wo
A
FIGURE A
S =
Mallow
Determine the section modulus for the rectangular cross-section about the horizontal centroidal axis.
in 3
Mmax
i
=
wo =
Determine the maximum magnitude allowable internal moment. Since you're entering the magnitude, enter a positive value.
L
i
B
i
i
Calculate the maximum internal moment magnitude at any location along the beam in terms of wo. In the input field, enter the
numerical value of the coefficient of wo when the maximum moment is written as a function of wo. Input the value assuming the
moment has units of lb-ft and wo has units of lb/ft. Since you're entering a magnitude, enter a positive value.
FIGURE B
b
lb-ft
h
wo lb-ft
Calculate the magnitude of the maximum load wo that may be carried by the beam.
lb/ft
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