ECIV 320 Structural Analysis I Internal Loadings in Structural Members Sections 4.1 – 4.5 Study...
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Transcript of ECIV 320 Structural Analysis I Internal Loadings in Structural Members Sections 4.1 – 4.5 Study...
![Page 1: ECIV 320 Structural Analysis I Internal Loadings in Structural Members Sections 4.1 – 4.5 Study all examples.](https://reader031.fdocuments.us/reader031/viewer/2022032015/56649d625503460f94a450b0/html5/thumbnails/1.jpg)
ECIV 320 Structural Analysis I
Internal Loadings in Structural Members
Sections 4.1 – 4.5Study all examples
![Page 2: ECIV 320 Structural Analysis I Internal Loadings in Structural Members Sections 4.1 – 4.5 Study all examples.](https://reader031.fdocuments.us/reader031/viewer/2022032015/56649d625503460f94a450b0/html5/thumbnails/2.jpg)
Internal Loading in Structural Members
Axial Loading
P P P
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Internal Loading in Structural Members
P
M
V
Flexure
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Internal Loading in Structural Members
Internal Loadings represent the resultant of stresses distributed over the cross section
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Sign Convention
P
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Sign Convention
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Internal Loadings at Specified Point - PROCEDURE
Support ReactionMay need to be calculated before Internal
Loadings
Cut the MemberPass Section parpendicular to its axis at the
specified pointAttention: Keep all distributed loadings moments
and forces in their exact location.
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Internal Loadings at Specified Point-PROCEDURE
Free Body Diagram
Hint: Draw FBD of segment with the least number of loads
Hint: Indicate Resultants in Positive Directions
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Internal Loadings at Specified Point-PROCEDURE
Equations of EquilibriumHint: Sum moments at the section about
centroidHint: Numerical Results (+) FBD OK, (-) Internal Loadings Opposite Direction
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EXAMPLE
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Example
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Example
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Shear and Moment Functions for Beams
Design ! Variations of internal Shear and Moment along AxisNormal Force is usually ignoredException: Compressive Axial Forces (Buckling)
Pay attention to discontinuities of applied loads
Use same approach as before but with variable location of section
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Shear and Moment Functions for Beams
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Example
EXAMPLE
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Shear & Moment Diagrams for Beams
Variations of V and M in a graph Form
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Shear & Moment Diagrams for Beams
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Shear & Moment Diagrams for Beams
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Shear & Moment Diagrams for Beams
)(xwdx
dV dxxwV )(
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Shear & Moment Diagrams for Beams
Vdx
dM VdxM