MBD Chapter 5 - Uniaxial stress: = = = = = =-1 E1 2 3 0 1...

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Chapter 5: Elastic Strain, Deflection and Stability 5.3 Analysis of Strain – Equiangular Rosettes , = + + ±( - - ) +( + ) ϵ1 2 ϵ0 ϵ120 ϵ2403 2ϵ0 ϵ120 ϵ240 29 ϵ120 ϵ240 23 = ( - ) - - tan2α 3 ϵ120 ϵ240 2ϵ0 ϵ120 ϵ240 5.4 Analysis of Strain – Rectangular Rosettes , = + ±( - ) +( - ) ϵ1 2 ϵ0 ϵ902 ϵ0 ϵ45 2 ϵ45 ϵ90 22 = tan2α - + - ϵ0 2ϵ45 ϵ90ϵ0 ϵ90 5.5 Elastic Stress-Strain Relationships and Three-Dimensional Mohr Circles = - + = - + = σ1 E1 ν2ϵ1 νϵ2 σ2 E1 ν2ϵ2 νϵ1 σ3 0 = - = - =- ( + ) ϵ1 1Eσ1 νσ2 ϵ2 1Eσ2 νσ1 ϵ3 νE σ1 σ2
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Unformatted text preview: Uniaxial stress: = = = = = =-1 E1 2 3 0 1 1E 2 3 1E Look at Tabbed Sections 5.6, 5.7, 5.8 5.10 Column Buckling Elastic Instability = = = ( ) = ( ) Pcr 2EILe2 Scr PcrA 2E Le 2 or ScrE 2 Le 2 5.12 Column Design Equations J.B. Johnson Parabola = =-( ) = Scr PcrA Sy Sy242E Le 2 Scr Sy2 = Le 22ESy 5.14 Equivalent Column Stresses = = = ( ) Scr Sy SyScr Sy Le 22E Euler = =-( ) SyScr 42E42E Sy Le 2 Johnson...
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