Lecture Notes: Shear Moment Equation and Shear Moment Diagram

4.4 Shear Moment Equation

• Pangalawang paksa ng Chapter 4: Shear Moment Equation at Shear Moment Diagram

Previous Topic Review

• Shear and Moment at a Specific Point
  • Tumutok sa isang shear at isang moment sa isang tiyak na punto.
  • Sulitin ang left section at right section para sa solusyon.
  • Piliin kung aling section ang mas convenient gamitin.
  • Alalahanin ang sign convention.

Shear and Moment Diagrams

• Shear and Moment Diagram by Equation
  • Kilala sa ibang libro bilang analytical method.
  • Kailangan sundin ang sign convention para sa shear at bending moment.

Sign Convention for Shear

• Upward Forces: Positive
• Downward Forces: Negative
• Right Section:
  • Upward: Negative
  • Downward: Positive

Sign Convention for Bending Moment

• Left Section:
  • Clockwise: Positive
  • Counterclockwise: Negative
• Right Section:
  • Clockwise: Negative
  • Counterclockwise: Positive

Procedure for Determining Shear Force and Bending Moment Diagrams

• Gumawa ng diagram para sa simply supported beam na may point load na P.
• Hatiin ang beam sa mga segment (A-B at B-C).
• Maglagay ng mga distansya:
  • Segment AB: 5 meters
  • Point A-B: 3 meters
  • Point B-C: 2 meters.

Shear from A to B

• Limit ng x: > 0 meters at < 3 meters
• Shear from B to C:
  • Limit ng x: > 3 meters at < 5 meters

Moment Calculation

• Huwag kalimutan ang limit sa bawat segment:
  • Moment from A to B: Limit ng x > 0 at < 3 meters.
  • Moment from B to C: Limit ng x > 3 at < 5 meters.

Graphical Representation

• Point by Point Graphing:
• Gamitin ang shear moment equations para makuha ang values sa iba't ibang x distances (0, 0.25, 0.5, 1, 1.25, hangang 3 meters).

Conclusion

• Ang Shear Moment Equation ay nagbibigay ng tiyak na paraan para sa pag-guhit ng shear at moment diagrams sa pamamagitan ng mga equations.
• Mag-example tayo sa susunod para mas maunawaan ang konsepto.