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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
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A pre- engineering base line was run down a very steep hill.rather than measure horizontaily down hill with steel tape: surveyor measured the vertical angle with the theodolite and
the elevations of grid points for an area as follows: 1 2 3 4 5 6 7 8 F 690 709 726 732 735 740 743 747 E 696 715 729 736 740 737 739 740 D 702 723 733 742 737 737 745 747 C 707 72
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assignment on role of civil engineer
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