Analysis Topic 3 Answer

Analysis Topic 3 Answer - Internally determinate Externally...

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CIVL2007 THEORY AND DESIGN OF STRUCTURES II DEPARTMENT OF CIVIL ENGINEERING THE UNIVERSITY OF HONG KONG TOPIC 2 PROBLEMS: ANSWERS Problem 2.1 Problem 2.2 Draw the bending moment and shear force diagrams for the following continuous beam (EI is constant). 500kN 7.5 7.5 E 10 10m C B A D 649 649 1226 BMD (kNm) (Tension Side) Notes (degree of static indeterminacy): 2-fold indeterminate D C B A 10m 30kN 10kN 5 5 76.6 23.4 86.7 0 BMD (kNm) (Tension Side) Notes (degree of static indeterminacy): 1-fold indeterminate
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Problem 2.3 Problem 2.4 In addition, consider the following support settlements: A = -27.5mm; B = -47.5mm; C = -22.5mm; D = -10mm 500kN 7.5 7.5 E 10 10m C B A D 88.8 127.7 305.3 BMD (kNm) (Tension Side) E D C B A 50kN 10m 10 10 16.84 C 55.9 C R=8.16 0 16.32 T 18.28 C 16.32 T 37.62 T R=41.84 R=33.68 R=33.68 Notes (degree of static indeterminacy):
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Unformatted text preview: Internally determinate Externally 1-fold indeterminate Units = kN (C = Compression T = tension) Problem 2.5 (Support Settlement) In addition to the 50 kN point-load, include a downwards settlement at point A of 10 mm. Problem 2.6 (Elastic Supports) Consider the beam and loading in Problem 2.2 and assume supports B and C are supported by elastic supports of stiffness 0.006EI (units EI/m 3 ). Determine the reactions carried by the elastic supports. Answer: ( 29 ( 29 = + + 341185 341185 EI 1 R R 7 . 166 1 . 595 4 . 488 4 . 488 7 . 166 1 . 595 EI 1 2 1 R B = 272.9 kN, R C = 272.9 kN E D C B A 50kN 10m 10 10 46.50 C 55.90 C R=21.5 0 43.00 C 48.16 T 43.00 C 104.06 T R=71.5 R=93.0 R=93.0 Units = kN (C = Compression T = tension)...
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Analysis Topic 3 Answer - Internally determinate Externally...

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