# ES2501: Statics/Unit 23-1 : Internal Forces in Beams: More Examples - PowerPoint PPT Presentation

ES2501: Statics/Unit 23-1 : Internal Forces in Beams: More Examples

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ES2501: Statics/Unit 23-1 : Internal Forces in Beams: More Examples

## ES2501: Statics/Unit 23-1 : Internal Forces in Beams: More Examples

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1. Example: Curve Beams ----- the axis of the beam is not a straight line A half-circle curved beam AB of radius of R is fixed at A and subjected to a vertical load of P downwards at B. ES2501: Statics/Unit 23-1: Internal Forces in Beams: More Examples Reactions at A: Position of a cross-section Internal Forces at

2. Example: Curve Beams ----- the axis of the beam is not a straight line A half-circle curved beam AB of radius of R is fixed at A and subjected to a vertical load of P downwards at B. ES2501: Statics/Unit 23-2: Internal Forces in Beams: More Examples Internal Forces at Position of a cross-section Graphical Representation M-Diagram N-Diagram V-Diagram

3. Example: Internal forces in a Frame Pin-connected at B ES2501: Statics/Unit 23-3: Internal Forces in Beams: More Examples Action and Reactions Support Reactions Two-force member 6 eqs for 6 unknowns

4. Any section between E and G Example: Internal forces in a Frame Pin-connected at B ES2501: Statics/Unit 24-4: Internal Forces in Beams: More Examples Any section between A and D Any section between D and E Any section between E and G

5. Summary of Results Example: Internal forces in a Frame Pin-connected at B ES2501: Statics/Unit 25-5: Internal Forces in Beams: More Examples N-Diagram Continuity at Corners V-Diagram M-Diagram hinge P applies P applies

6. Example: Internal forces in a Frame Action and Reactions ES2501: Statics/Unit 23-6: Internal Forces in Beams: More Examples Pin-connected at B Support Reactions 6 eqs for 6 unknowns

7. Example: Internal forces in a Frame Pin-connected at B ES2501: Statics/Unit 23-7: Internal Forces in Beams: More Examples The same results but simpler procedure Internal forces at D

8. Example: Internal forces in a Frame ES2501: Statics/Unit 23-8: Internal Forces in Beams: More Examples Pin-connected at B Internal forces at E