ES2501: Statics/Unit 23-1: Internal Forces in Beams: More Examples 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. Reactions at A: Position of a cross-section Internal Forces at

ES2501: Statics/Unit 23-2: Internal Forces in Beams: More Examples 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. Internal Forces at Position of a cross-section Graphical Representation M-Diagram N-Diagram V-Diagram

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

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

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

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

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

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