A timber column 3m high has a rectangular cross section, 100mm x 200mm, and is reinforced over its entire length by two steel plates each 200 mm wide by 10 mm thick attached to the 20mm faces. The column is designed to carry a load of 100 kN. The failure stress of the timber is 55 N/mm². Check the design using a factor of safety of 3. The allowable stress for steel is 110 MPa and that for timber is 5.6 MPa.

Use E_timber= 15,000 N/mm² and E_steel= 200,000 N/mm²