# equivalent wood section

## Problem 1009 | Width of aluminum plate reinforcement for the wood section to resist 14 kN-m moment

**Problem 1009**

A timber beam 150 mm wide by 200 mm deep is to be reinforced at the top and bottom by aluminum plates 6 mm thick. Determine the width of the aluminum plates if the beam is to resist a moment of 14 kN·m. Assume n = 5 and take the allowable stresses as 10 MPa and 80 MPa in the wood and aluminum, respectively.

## Problem 1006 | Width of fastened steel plate for balanced reinforcement

**Problem 1006**

Determine the width b of the 1/2-in. steel plate fastened to the bottom of the beam in Problem 1005 that will simultaneously stress the wood and the steel to their permissible limits of 1200 psi and 18 ksi, respectively.

## Problem 1005 | Maximum concentrated load at the midspan that the reinforced timber beam can carry

**Problem 1005**

A timber beam 6 in. by 10 in. is reinforced only at the bottom by a steel plate as shown in Fig. P-1005. Determine the concentrated load that can be applied at the center of a simply supported span 18 ft long if n = 20, f_{s} ≤ 18 ksi and f_{w} ≤ 1200 psi. Show that the neutral axis is 7.1 in. below the top and that I_{NA} = 1160 in.^{4}.

## Problem 1003 | Maximum stresses in wood and steel of composite beam

**Problem 1003**

A simply supported beam 4 m long has the cross section shown in Fig. P-1002. It carries a uniformly distributed load of 20 kN/m over the middle half of the span. If n = 15, compute the maximum stresses in the wood and the steel.

## Problem 1004 | Increase in moment capacity due to aluminum plate reinforcement

**Problem 1004**

Repeat Problem 1002 assuming that the reinforcement consists of aluminum plates for which the allowable stress is 80 MPa. Use *n* = 5.

## Problem 1002 | Increase in moment capacity due to steel plate reinforcement

**Problem 1002**

A timber beam is reinforced with steel plates rigidly attached at the top and bottom as shown in Fig. P-1002. By what amount is moment increased by the reinforcement if n = 15 and the allowable stresses in the wood and steel are 8 MPa and 120 MPa, respectively?