notes_10_shear_bending_fixed

# notes_10_shear_bending_fixed - Introduction to course...

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13.122 Lecture 1 Primary Load: Bending Moment and Shear Force Introduction to course: Design process Structural design process General course content: 13.122 Ship Structural Design A. Loads on ship/offshore platforms Calculation of loads buoyancy, shear, bending moment "hand" using excel B. Review of bending, shear and torsion - open sections C. Modeling a structure Maestro checking loads and moments D. Development of limit states and failure modes stress analysis of ship/ocean system structure E. Design of section for bending project F. Matrix analysis (Grillage), FEM Introduction Expected outcome: an ability to effectively use structural design tools with an understanding of the underlying analysis. Changes from previous years: reduced 13.10 review (2002) calculation of loads (bending moment and shear force) (2001) introduce Maestro earlier for modeling and load analysis (2001) introduce open section torsion revert to earlier problem sets for mathcad limit state analysis (2001) 1 notes_10_shear_bending.mcd

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Qx fx Sign Convention In general, we will use "structural" sign convention described in Shames: 10.2 page 286 An axial force or bending moment acting on a beam cross-section is positive if it acts on a positive face and is directed in a positive coordinate direction. The shear force is positive if it acts in the negative direction on a positive face. (positive face defined by outward normal in positive coordinate direction) Moment of inertia is defined relative to the axis for 2 2 measuring distance: I z = y dA ; I y = z dA σ x = τ xx τ xy = τ yx etc. M z y σ x = I z define f = load, positive in +y direction, dQ = f dx M y M z y z x T = M x σ x = M y z later . .... I y ↑↑ ↑ ↑↑↑ ↑ ↑ ↑↑ ↑ ↑ Q + dQ M + dM M Q x x Q = () dx + Q(x = 0) = 0 0 dx moments around right face => M + Q dx + () dx dx M + dM = 0 => Q = d d x M 2 x x Mx = + M(x = 0) = 0 0 2 notes_10_shear_bending.mcd
Part 1: Calculation of loads buoyancy, shear, bending moment a) shear and bending moment from distributed force per length b) shear and bending moment from point force c) algorithms for calculation a) shear and bending moment from distributed force per length

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notes_10_shear_bending_fixed - Introduction to course...

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