Wo h A |B L b FIGURE A FIGURE B
A cantilever timber beam (FIGURE A) with a span of L= 13.8 ft supports a linearly distributed load with maximum intensity of w0. The beam width is b= 15.00 in. and the beam height is h= 9.75 in. (Figure B). The allowable bending stress of the wood is 1100 psi. Calculate the magnitude of the maximum load w0 that may be carried by the beam.
Part 1
Determine the section modulus for the rectangular cross-section about the horizontal centroidal axis.
| S= | in.3 |
Part 2
Determine the maximum magnitude allowable internal moment. Since you’re entering the magnitude, enter a positive value.
| Mallow= | lb⋅ft |
Part 3
Calculate the maximum internal moment magnitude at any location along the beam in terms of w0. In the input field, enter the numerical value of the coefficient of w0 when the maximum moment is written as a function of w0. Input the value assuming the moment has units of lb⋅ft and w0 has units of lb/ft. Since you’re entering a magnitude, enter a positive value.
| Mmax= | w0 | lb⋅ft |
Part 4
Calculate the magnitude of the maximum load w0 that may be carried by the beam.
| w0= | lb/ft |
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