741_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

741_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 09Ch09.qxd 9/27/08 1:32 PM Page 735 SECTION 9.5 Method of Superposition Bracket ABC Solution 9.5-9 BEAM AB M0 735 (a) ARM BC Table G-1, Case 4 3 PH PH3 PH2L + 3EI 3EI PH + uBH 3EI dC PH2 (L + H) 3EI ; (b) MAXIMUM DEFLECTION OF BEAM AB 9 13EI Table G-2, Table G-2, Case 7: uB M0L 3EI PHL 3EI Problem 9.5-10 A beam ABC having flexural rigidity EI 75 kN m2 is loaded by a force P 800 N at end C and tied down at end A by a wire having axial rigidity EA 900 kN (see figure). What is the deflection at point C when the load P is applied? PHL2 9 13EI M0L2 Case 7: dmax ; B A C P = 800 N 0.5 m 0.5 m 0.75 m D Solution 9.5-10 Beam tied down by a wire CONSIDER AB AS A SIMPLE BEAM M0 PL2 M0 L1 3EI Table G-2, Case 7: uB ¿ PL1L2 3EI CONSIDER THE STRETCHING OF WIRE AD EI d ¿A 75 kN # m2 P 800 N EA (Force in AD) a 900 kN H 0.5 m L2 H b EA a PL2 H ba b L1 EA PL2H EAL1 DEFLECTION dC OF POINT C L1 dc 0.75 m 0.5 m PL3 2 3EI ¿ uB (L2) ¿ dB a L2 b L1 PL1L2 PL2H PL3 2 2 2 + + 3EI 3EI EAL2 1 CONSIDER BC AS A CANTILEVER BEAM ¿ Table G-1, Case 4: dC ¿ dc ; SUBSTITUTE NUMERICAL VALUES: dC 1.50 mm 1.00 mm 1.00 mm 3.50 mm ; ...
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