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595_Mechanics Homework Mechanics of Materials Solution

595_Mechanics Homework Mechanics of Materials Solution - 5...

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Unformatted text preview: 5. 115 and 5.116 (a) Using singularity functions, write the equations defining theshear PROBLEM 5.115 and bending moment for beamABC under the loading shown. (b) Use the equation obtained forM to determine the bending moment job: to the right of point B. SOLUTIION V = - Pct—ctr L it? = _ {not-4.79 , 2 _ p<x-a.>' - 9a<x-4>° Jun +0 H. Matt at B * ’03 D t E M= “O‘PGL '-' ‘PCL 5. 115 and 5. 116 (0) Using singularity functions, write the equations defining the shear PROBLEM 5"“ and bending moment for beam ABC under the loading shown. (5) Use the equation obtained forM to determine the bending moment just to the right of point B. t Lgfl SOLUTION ZMC = 0 (2a,)? + a? - ZCPa3-h2a9, ’0 QA’ '35P v= (RA-P) --?:<¥—a.)° = 4? - POW-3° 3? = - é? - P<v-=~>° M = “in - 1=><x-a>'+ Fe. + Pace-a)" {PW 305+ 1-a He “'3'“ 0+” Pom a x: a: m A; I M= -éPa.-O + P¢+Pa.= £90.. tfingJ t..- _] " ‘ t— ,i .F—'| 3"“ L 4.__i ...
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