Chapter8.prob - PROBLEMS 8.1 (i) Use moment distribution...

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© K. H. Ha - BCEE 343 Chapter 1 - v2.0 Problems 8.1 PROBLEMS 8.1 (i) Use moment distribution method to find the member-end moments in the systems of Fig.P8.1 and draw the bending moment diagrams. (ii) Determine the vertical translation of the midspan of member bc . Take E constant for all members and neglect axial and shear deformations. w L L /2 EI 2 EI wL /3 L /2 a bc w L L /2 EI 2 EI wL /3 L /2 a b c (a) (b) w L EI 2 EI wL /3 L /2 L /2 2 EI L a d (c) w L L /2 EI 2 EI wL /3 L /2 wL /3 L /2 EI L /2 a d (d)
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© K. H. Ha - BCEE 343 Chapter 1 - v2.0 Problems 8.2 . 5 m 8m 2.5m 20 kN/m 40kN 5 m EI 2 EI 2 EI 5 m 10 kN/m 2 EI a b c d e (e) w L EI 2 EI wL /3 L /2 L /2 2 EI L a b c de (f) 5 m 8m 2.5m 40kN L = 5 m EI 2 EI 20 kN/m 2 EI k = EI 2 L 3 a b c d 5 m 8m 2.5m 40kN 5 m EI 2 EI 20 kN/m 2 EI a b c d ( g ) ( h )
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© K. H. Ha - BCEE 343 Chapter 1 - v2.0 Problems 8.3 5 m 8m 2.5m 40kN 5 m EI 2 EI 20 kN/m 2 EI EI a b c d e 5 m 5m 40kN 5 m EI 2 EI 20 kN/m 2 EI EI a b c d e (i) (j) 5 m 5m EI 2 EI 2 EI EI 40kN 20 kN/m 5 m a b c d e 5 m 5m 40kN EI 2 EI 20 kN/m 2 EI EI 5 m a b c d e ( k ) ( l ) A = 1000 mm 2 , I = 40 × 10 6 mm 4 5 m
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Chapter8.prob - PROBLEMS 8.1 (i) Use moment distribution...

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