Assignment7-solution

Assignment7-solution - Problem 5.3 Find the shear center...

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Problem 5.3 Find the shear center y sc for the sections of Figures 5.30 and 5.32. For the four-stringer section, assume the tin sheets are ineffective in bending. Solution a) For the section of Figure. 5.30 The moment of inertia of the thin-walled section in the figure above,   4 6667600 ) 2 200 )( 2 100 ( ) 2 200 )( 2 100 12 1 mm I y Below figure shows the segments and the longitudinal coordinates associated with the segments, Shear flow for segment 1: 100 0 1 s 2 1 7 1 1 10 5 . 1 2 / 1 s V x I s ts V q z y z s ( 1 ) z s V x q q 3 1 100 10 5 . 1 1 Shear flow for segment 2: 100 0 2 s s 1 s 2 s 3 s 4 s 5 t=2mm 100mm 200mm
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2 5 3 1 2 10 3 10 5 . 1 ) 100 ( 2 s V x V x q I ts V q z z y z s ( 2 ) z s V x q q 3 2 100 10 5 . 4 2 Shear flow for segment 3: 200 0 3 s ) 200 ( 10 5 . 1 10 5 . 4 ) 2 / 100 ( 2 3 3 7 3 2 3 3 3 s s V x V x q I s ts V q z z y z s ( 3 ) z s z s V x q q V x q q 3 4 200 3 3 100 10 5 . 4 10 6 3 3 Shear flow for segment 4: 100 0 4 s z z y z s V x s V x q I ts V q 3 4 5 4 4 10 5 . 4 10 3 ) 100 ( 4 ( 4 ) z s V x q q 3 5 100 10 5 . 1 4 Shear flow for segment 5: 100 0 5 s z z y z s V x s s V x q I s ts V q 3 2 5 5 7 5 5 5 10 5 . 1 ) 200 ( 10 5 . 1 )] 2 / 100 ( [ 5 (5) 0 6 100 5 q q s
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Assignment7-solution - Problem 5.3 Find the shear center...

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