Introduction to Aircraft Structural Analysis (Elsevier Aerospace Engineering)

552 CHAPTER 19 Structural Idealization WeshallillustratethemethodbyapplyingittoExample19.3.InFig.19.7,theshearloadof4.8kN is app ...

19.4 Deflection of Open and Closed Section Beams 553 givingthesamesolutionasbefore.Notethatiftheunitlengthofbeamhadbeentakentobe ...

554 CHAPTER 19 Structural Idealization FromEq.(15.18)andthethirdofEqs.(1.42), σz,1= ( My,1Ixx−Mx,1Ixy IxxIyy−Ixy^2 ) x+ ( Mx,1Iy ...

19.4 Deflection of Open and Closed Section Beams 555 whereagainthesuffixesrefertotheactualandunitloadingsystems.Inthecasesofboth ...

556 CHAPTER 19 Structural Idealization andzismeasuredfromthebuilt-inendofthecantilever.Theactualshearflowdistributionhasbeen cal ...

Problems 557 Ans. Wall12,1.86N/mm;43,1.49N/mm;32,5.21N/mm;27,10.79N/mm;remainingdistributionfollows fromsymmetry.122mmtothelefto ...

558 CHAPTER 19 Structural Idealization Ans. 142.5mmfromside23. Fig. P.19.4 P.19.5 A uniform beam with the cross section shown in ...

Problems 559 Fig. P.19.6 P.19.7 Arectangularsectionthin-walledbeamoflengthLandbreadth3b,depthb,andwallthicknesstisbuiltin atonee ...

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CHAPTER 20 Wing Spars and Box Beams............................................................ InChapters15through17,weestablis ...

562 CHAPTER 20 Wing Spars and Box Beams Fig.20.1 Effect of taper on beam analysis. The bending moment resultantsPz,1andPz,2are p ...

20.1 Tapered Wing Spar 563 or Sy=Sy,w+Pz,1 δy 1 δz +Pz,2 δy 2 δz (20.4) sothat Sy,w=Sy−Pz,1 δy 1 δz −Pz,2 δy 2 δz (20.5) Againwe ...

564 CHAPTER 20 Wing Spars and Box Beams directstress.Thebeamtaperssymmetricallyaboutitshorizontalcentroidalaxis,andthecross-sect ...

20.2 Open and Closed Section Beams 565 Fig.20.3 Shear flow (N/mm) distribution at Section AA in Example 20.1. thatis, q 12 =6.52 ...

566 CHAPTER 20 Wing Spars and Box Beams Fig.20.4 Effect of taper on the analysis of open and closed section beams. Further,fromF ...

20.2 Open and Closed Section Beams 567 TheaxialloadPristhengivenby Pr=(P^2 x,r+Py^2 ,r+P^2 z,r)^1 /^2 (20.11) or Pr=Pz,r (δx^2 r ...

568 CHAPTER 20 Wing Spars and Box Beams seethatEq.(16.17)becomes Sxη 0 −Syξ 0 = ∮ qbpds+ 2 Aqs,0− ∑m r= 1 Px,rηr+ ∑m r= 1 Py,rξr ...

20.2 Open and Closed Section Beams 569 inwhich,forthebeamsectionshowninFig.20.6(b), Ixx= 4 × 900 × 3002 + 2 × 1200 × 3002 =5.4× ...

570 CHAPTER 20 Wing Spars and Box Beams The shear flow distribution in the walls of the beam is now found using the method descr ...

20.3 Beams Having Variable Stringer Areas 571 Fig.20.8 Shear flow (N/mm) distribution in beam section of Example 20.2. 20.3 Beam ...