744_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 744_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 09Ch09.qxd 9/27/08 738 1:32 PM Page 738 CHAPTER 9 Deflections of Beams (b) DEFLECTION AT POINT D Table G-2 Case 6; Table G-1 Case 4; Table G-2 Case 10 L P a b c (2L) 2 dD L d 2 2E I dB 0 P Q 2 L P a b c (2L) 2 dD ; 4 + (c.1) DEFLECTION AT POINT B Table G-2 Cases 6 and 10 dB L c 3 a b (2 L) 6 EI 2 2 L a bd 2 a qa2 L ba b 2 2 2 EI dD L d 2 2EI 9L L Pa b 2 ; Table G-2 Case 6; Table G-1 Case 1; Table G-2 Case 10 (a) 8 a (3L + a) 9a 8L (c.2) DEFLECTION AT POINT D Qa (2L) Q a3 + (a) + 3 EI 2 EI dD P qa 0 0 qa + 8 EI a qa2 b (2L) 2 2 EI (a) (a) a (4L + a) P qa ; 3L2 L2 3a b 2 c (2 L) L a bd 2 Problem 9.5-14 A thin metal strip of total weight W and length L is placed d across the top of a flat table of width L/3 as shown in the figure. What is the clearance d between the strip and the middle of the table? (The strip of metal has flexural rigidity EI.) L — 3 L — 6 L — 6 Solution 9.5-14 Thin metal strip W EI total weight q W L flexural rigidity TABLE G-2, CASES 1 AND 10 5q M0 L 2 L4 ab+ ab 384EI 3 8EI 3 d 5qL4 qL4 + 31,104EI 1296EI FREE BODY DIAGRAM (the part of the strip above the table) 19qL4 31,104EI But q W : L ‹d 19WL3 31,104EI ; L — 3 ...
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