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Compatibility Condition:
Total strain in steel = Total strain in copper
i.e. 3 × 10-4 + 1.965 × 10-5 Ps = 4.5 × 10-4 + 1.8421 × 10-5 Pc
Recognising that Pc = - Ps, and dividing both sides by 10-5, we get
30 + 1.965 Ps = 45 - 1.8421 Ps
or Ps = 45 - 30/ (1.965 + 1.8421) = 3.94 kN
∴ Stress in steel = 3.94 × 1000/ (π/4) × 182 = 15.5 N/mm2
∴ Stress in copper = - 3.94 × 1000/ (π /4)(302 - 182) = - 8.71 N/mm2
How to do deflection calculations Basic values of span to effective depth ratios for spans upto 10m may be taken as 7, 20 and 26 for cantilever, simply supported and continuous
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