2.42 The cantilever beam shown has a rectangular cross section b 2c. (a) Using the...

 

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2.42 The cantilever beam shown has a rectangular cross section b × 2c. (a) Using the equation , = -My/1,, prove that a, = wx³y/(611). (b) Determine (x, y) and or,(x, y) using Eqs. (2.4-2). (c) Show whether or not the results of parts (a) and (b) provide a compatible displacement field. Problem 2.42 w (force/length) 48 да, + ax ат ах + ат, ду - + F, = 0 да, ду + F, = 0 [2.4-20] [2.4-26] 2.42 The cantilever beam shown has a rectangular cross section b × 2c. (a) Using the equation , = -My/1,, prove that a, = wx³y/(611). (b) Determine (x, y) and or,(x, y) using Eqs. (2.4-2). (c) Show whether or not the results of parts (a) and (b) provide a compatible displacement field. Problem 2.42 w (force/length) 48 да, + ax ат ах + ат, ду - + F, = 0 да, ду + F, = 0 [2.4-20] [2.4-26]