## Example 04: Required Depth of Rectangular Timber Beam Based on Allowable Bending, Shear, and Deflection

**Problem**

A beam 100 mm wide is to be loaded with 3 kN concentrated loads spaced uniformly at 0.40 m on centers throughout the 5 m span. The following data are given:

Allowable shear stress = 1.24 MPa

Allowable deflection = 1/240 of span

Modulus of elasticity = 18,600 MPa

Weight of wood = 8 kN/m

^{3}

- Find the depth
*d*considering bending stress only. - Determine the depth
*d*considering shear stress only. - Calculate the depth
*d*considering deflection only.