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A simply supported beam (Figure) with a span of *L=20ft* is subjected to a uniform service load of *1200 lb/ft*, including self weight, and a live load of *900 lb/ft*. Determine the maximum factored vertical shear, ** V_{u}** at the critical section, and the contribution of concrete to shear resistance,

Given:

- b
_{w}=12in. - d=17in.
- h=20in.
- A
_{s}=6in^{2} - f’
_{c}=4000ksi

The maximum shear ** V_{max}** is:

The maximum factored shear ** V_{u}**, at a distance d away from the supports, is:

The moment at *V _{u}* (M

The formula for ** V_{c}** is:

where:

Therefore, we get:

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