Formwork for Concrete Structures by R.L.Peurifoy and G.D- By EasyEngineering.net

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Design of Wood Members for Formwork 107
FIGURE 5-5 Single-span beam with three concentrated loads.
FIGURE 5-6 Single-span beam with concentrated loads at quarter points.
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For a beam with three equal loads P acting at the quarter points of
the beam as shown in Figure 5-6, the maximum deflection can be calculated
from Eq. (5-23).
∆= 19Pl 3 /384EI (5-23)
Example 5-8
In Example 5-1, it was determined that the bending moment required
the use of a 2 × 6 beam, 8 ft long, to support three concentrated loads
of 190 lb each, located 2, 4, and 6 ft, respectively, from the end of the
beam. The actual dimensions of this beam are 1½ in. by 5½ in. Determine
the deflection of the beam considering the three concentrated
loads using Eq. (5-23).
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