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; 2. the average shearing stress in the timber; 3. the shearing load transmitted by the bolts; 4. the bending and shearing deflections at the centre of the beam.
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; 2. the average shearing stress in the timber; 3. the shearing load transmitted by the bolts; 4. the bending and shearing deflections at the centre of the beam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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;
2. the average shearing stress in the timber;
3. the shearing load transmitted by the bolts;
4. the bending and shearing deflections at the centre of the beam.
Answers are:
1. 120MN/m2
2. 1.00 MN/m2
3. 100 kN/m
4. 0.75 cm
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