178_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

178_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_2.5.qxd 9/25/08 172 3:00 PM Page 172 CHAPTER 2 Axially Loaded Members PB c d B2 L1 + L2 Es Ab compatibility PB c s + B1 L1 + L2 EsAb B2 [ s s s L1 L2 s + + d EcA1 Ec A2 Ec( A1 + A2) 0 s)] np + a s ¢ T( L1 + L2 s s L1 L2 s + + + d Ec A1 Ec A2 Ec ( A1 + A2) PB 25.4 kN Sketches illustrating superposition procedure for statically-indeterminate analysis δ = np cap ΔT L1 Actual indeterminate structure under load(s) = S ΔT L2 1° SI superposition analysis using internal force in bolt as the redundant sleeve bolt Two released structures (see below) under: (1)load(s); (2) redundant applied as a load δ = np ΔT + Ps S S ΔT cut bolt δB1 δB1 relative displacement across cut bolt, δB1 due to both δ and ΔT (positive if pieces move together) relative displacement across cut bolt, δB2 due to Pb (positive if pieces move together) PB δB2 PB δB2 apply redundant internal force Ps & find relative displacement across cut bolt, δB2 ; Ps PB ; ...
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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