A  timber beam is 15 cm deep by 10 cm wide, and carries a central load of 30 kN at the centre of a 3 m span; the beam is simply-supported at each end. The timber is reinforced with flat steel plates 10 cm wide by 1.25 cm thick bolted to the upper and lower surfaces of the beam. Taking E for steel as 200 GN/m2 and E for timber as 1 GN/m2, estimate 1. the maximum direct stress in the steel strips;  - Answered (120 MN/m2.) 2. the average shearing stress in the timber; - Answered (1.00 MN/m2) 3. the shearing load transmitted by the bolts; - Answered (100 kn/m) 4. the bending and shearing deflections at the centre of the beam. - Answered (0.75cm) Answers must be 100kn/m for no.3 and 0.75 cm for no.4. Please show solutions to get 100 kn/m and 0.75 cm.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A  timber beam is 15 cm deep by 10 cm wide, and carries a central load of 30 kN at the centre of a 3 m span; the beam is simply-supported at each end. The timber is reinforced with flat steel plates 10 cm wide by 1.25 cm thick bolted to the upper and lower surfaces of the beam. Taking E for steel as 200 GN/m2 and E for timber as 1 GN/m2, estimate

1. the maximum direct stress in the steel strips;  - Answered (120 MN/m2.)
2. the average shearing stress in the timber; - Answered (1.00 MN/m2)


3. the shearing load transmitted by the bolts; - Answered (100 kn/m)
4. the bending and shearing deflections at the centre of the beam. - Answered (0.75cm)

Answers must be 100kn/m for no.3 and 0.75 cm for no.4.

Please show solutions to get 100 kn/m and 0.75 cm.

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