1. 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

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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