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Mechanics of Materials CIVL 3322 / MECH 3322 Beams Shear and Moment Diagrams Beams Any structural element Length is much great then the cross sectional dimension Loading is normal to the longest axis Typically prismatic Beams - Shear and Moment Calculations 2

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Page 1: Mechanics of Materials - · PDF file14 January 2011 1 Mechanics of Materials CIVL 3322 / MECH 3322 Beams Shear and Moment Diagrams Beams ! Any structural element " Length is much great

14 January 2011

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Mechanics of Materials CIVL 3322 / MECH 3322

Beams Shear and Moment Diagrams

Beams

¢ Any structural element l Length is much great then the cross

sectional dimension l Loading is normal to the longest axis l Typically prismatic

Beams - Shear and Moment Calculations 2

Page 2: Mechanics of Materials - · PDF file14 January 2011 1 Mechanics of Materials CIVL 3322 / MECH 3322 Beams Shear and Moment Diagrams Beams ! Any structural element " Length is much great

14 January 2011

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Test Result

¢ Raw Score x/15 ¢ Scaled Score ¢ Homework Average ¢ Participation Average

¢ Weighted Current Class Average

Beams - Shear and Moment Calculations 3

Beams

¢  In Statics, the concern was with the forces required to support the beam

¢  In Mechanics of Materials, the concern is with forces that are internal to the beam and therefore can deform or rupture the beam

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Page 3: Mechanics of Materials - · PDF file14 January 2011 1 Mechanics of Materials CIVL 3322 / MECH 3322 Beams Shear and Moment Diagrams Beams ! Any structural element " Length is much great

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Beams

¢ How the internal forces and moments change with loading are the design concern

¢  In order to see how these vary, it is useful to return to one of the simple reaction models from statics, a fixed end support

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Page 4: Mechanics of Materials - · PDF file14 January 2011 1 Mechanics of Materials CIVL 3322 / MECH 3322 Beams Shear and Moment Diagrams Beams ! Any structural element " Length is much great

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Page 5: Mechanics of Materials - · PDF file14 January 2011 1 Mechanics of Materials CIVL 3322 / MECH 3322 Beams Shear and Moment Diagrams Beams ! Any structural element " Length is much great

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Page 6: Mechanics of Materials - · PDF file14 January 2011 1 Mechanics of Materials CIVL 3322 / MECH 3322 Beams Shear and Moment Diagrams Beams ! Any structural element " Length is much great

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Page 7: Mechanics of Materials - · PDF file14 January 2011 1 Mechanics of Materials CIVL 3322 / MECH 3322 Beams Shear and Moment Diagrams Beams ! Any structural element " Length is much great

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Homework

¢ P 7.1 ¢ P 7.2 ¢ P 7.6

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