AAE352_Summer_Lec03

AAE352_Summer_Lec03 - Andrew J. Ritchey aritchey@purdue.edu...

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AAE 352 Summer 2010 3-1 Andrew J. Ritchey aritchey@purdue.edu ARMS B144 765-494-5985 https://engineering.purdue.edu/AAE/Academics/Courses/aae352/2010/summer June 16, 2010
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Review torsion members and shear panels Discuss material (yield) and structural failure (buckling) Determination of structural weight AAE 352 Summer 2010 3-2 June 16, 2010
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Castigiliano’s Theorm Determine the total strain energy stored in the system do to applied forces ( ) and moments ( ) Differentiate with respect to a given force or moment to determine displacements and rotations Can be used to add extra equations for indeterminate structures June 16, 2010 AAE 352 Summer 2010 3-3 2 2 2 2 Axial: 2 Torsion: 2 Direct Shear: 2 Pure Bending: 2 i i i i U F U M Fl U AE Tl U GJ AG M dx EI  i F i M
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June 16, 2010 AAE 352 Summer 2010 3-4   2 2 3 3 4 4 Moment: Shear Force: Lo Deflection: Slope: ading: xx xz A w w x dw dx d d Mz M EI EI dx dx I dM d V EI V dx d w w dA x dV d p EI dx w dx        
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Members which resist shearing forces acting in the plane of the cross-section For circular cross sections, the stress varies linearly in the radial direction This results in an underutilization of the material at the center of the cylinder AAE 352 Summer 2010 3-5 4 1 For a cylinder: 2 T R J GJ J Tr June 16, 2010
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AAE352_Summer_Lec03 - Andrew J. Ritchey aritchey@purdue.edu...

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