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/m? and E for timber as 1 GN/m, estimate .11

Structural Analysis
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Chapter2: Loads On Structures
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STRENGTH OF MATERIALS

ANS: (i)= 120MN/m2, (ii)=1.00MN/m2, (iii)=100KN/m2, (iv)=0,75cm

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11.11
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/m? and E for timber as 1 GN/m', estimate
the maximum direct stress in the steel strips;
(i)
(ii)
(iii)
(iv)
the average shearing stress in the timber;
the shearing load transmitted by the bolts;
the bending and shearing deflections at the centre of the beam.
Transcribed Image Text:11.11 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/m? and E for timber as 1 GN/m', estimate the maximum direct stress in the steel strips; (i) (ii) (iii) (iv) the average shearing stress in the timber; the shearing load transmitted by the bolts; the bending and shearing deflections at the centre of the beam.
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