the - the t D. E n in tical w the rtical P12.10 to P12.14. Using the Müller-Breslau principle, draw the influence lines for the reactions and internal forces noted below each structure. A ASPE 12'- B 201 8' VA, MB, MC and Rc P12.10 B B 12'- 12' +6+ MA, RA, Mc, and Vc (to left of support C) P12.11 B hinge 12- -18'- -18' +12'- RB, VB (to left of support B),VB (to right of support B), Mc, and Vc P12.12 с D D 8-10-10 RA, Ro MD, and VD P12.13 D 591
the - the t D. E n in tical w the rtical P12.10 to P12.14. Using the Müller-Breslau principle, draw the influence lines for the reactions and internal forces noted below each structure. A ASPE 12'- B 201 8' VA, MB, MC and Rc P12.10 B B 12'- 12' +6+ MA, RA, Mc, and Vc (to left of support C) P12.11 B hinge 12- -18'- -18' +12'- RB, VB (to left of support B),VB (to right of support B), Mc, and Vc P12.12 с D D 8-10-10 RA, Ro MD, and VD P12.13 D 591
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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12.13 handwritten work only pls
Transcribed Image Text:**Problems 591**
**P12.10 to P12.14**. Using the Müller–Breslau principle, draw the influence lines for the reactions and internal forces noted below each structure.
**Diagram P12.10**
- A beam with three segments: AB, BC, and CD.
- Segment lengths: AB = 12', BC = 8', CD = 4'.
- Supports: A (fixed support), C (roller support), and D (free end).
- Notation for calculations: \( V_A, M_B, M_C, \) and \( R_C \).
**Diagram P12.11**
- A beam with three segments: AB, BC, and CD.
- Segment lengths: AB = 12', BC = 12', CD = 6'.
- Supports: A (fixed support), D (roller support), and C (with an internal hinge in segment BC).
- Notation for calculations: \( M_A, R_A, M_C, \) and \( V_C \) (to the left of support C).
**Diagram P12.12**
- A beam with four segments: AB, BC, CD, and DE.
- Segment lengths: AB = 12', BC = 18', CD = 18', DE = 12'.
- Supports: A (free end), B (roller support), D (roller support), and E (free end).
- Notation for calculations: \( R_B, V_B \) (to the left of support B), \( V_B \) (to the right of support B), \( M_C, \) and \( V_C \).
**Diagram P12.13**
- A beam with five segments: AB, BC, CD, DE, and EF.
- Segment lengths: AB = 20', BC = 8', CD = 10', DE = 10', EF = 10'.
- Includes a hinge at segment BC.
- Supports: A (fixed support), C (roller support), E (roller support), and F (free end).
- Notation for calculations: \( R_A, R_C, M_D, \) and \( V_D \).
**Diagram P12.14**
- Not available in the image provided.
Students are required to use the Müller–Breslau principle to understand and draw the influence lines for the reactions and internal forces for each beam structure described in the problems above. The influence
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