1 / 14

Beam Formula

Beam Formula. If I am given a formula and I am ignorant of its meaning, it cannot teach me anything; but if I already know it, what does the formula teach me? - Saint Aurelius Augustine. Beam Formula. Shear and moment diagrams Simple beam (uniformly distributed load)

cadman-potter
Download Presentation

Beam Formula

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Beam Formula If I am given a formula and I am ignorant of its meaning, it cannot teach me anything; but if I already know it, what does the formula teach me? - Saint Aurelius Augustine

  2. Beam Formula • Shear and moment diagrams • Simple beam (uniformly distributed load) • Reaction force formula • Maximum moment formula • Simple beam (concentrated load at center) • Reaction force formula • Maximum moment formula

  3. Beam Formulas • Similar loading conditions = similar shear and moment diagrams • Standard formula can represent the magnitude of shear and moment based on loading condition • Magnitude of shear and bending moment depend on • Span length of beam • Magnitude of applied load • Location of applied load

  4. Shear and Moment DiagramsSimple Beams (Uniformly Distributed Load) Uniform load = 1200 lb/ft L = 35 ft Uniform load = 1000 lb/ft L = 20 ft

  5. Reaction Force Formula w B A L Beam Diagram

  6. Reaction Force Formula B A RA RB L

  7. Reaction Force Formula w L B + A RA RB Since

  8. Maximum Moment Formula w L B A Shear Moment

  9. Beam FormulaSimple Beam (Uniformly Distributed Load) w B A L Beam Diagram (at center) (at center)

  10. Your TurnSimple Beam (Concentrate Load at Center) Find a formula for the end reaction forces and for the maximum moment for a simply supported beam with a single concentrated load, P, applied at center span. P L

  11. Your TurnSimple Beam (Concentrate Load at Center)

  12. Your Turn Simple Beam (Concentrate Load at Center)

  13. Beam FormulaSimple Beam (Concentrated Load at Center) P (at point of load) L (at point of load)

  14. Beam Formula • Shear and moment diagrams • Simple beam (uniformly distributed load) • Reaction force formula • Maximum moment formula • Simple beam (concentrated load at center) • Reaction force formula • Maximum moment formula

More Related