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Shear and Moment Equations

Understand Shear and Moment Equations with a 20-foot beam loaded at 10 kip/ft, solve for V(x) and M(x). Learn to calculate the shear force and bending moment in beams for accurate structural analysis.

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Shear and Moment Equations

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  1. Shear and Moment Equations 1 kip/ft x 20 feet 10 kip 10 kip V(x) = ? 10 V (kip) -10

  2. Shear and Moment Equations 1 kip/ft x 20 feet 10 kip 10 kip V(x) = mx + b 10 V (kip) -10

  3. Shear and Moment Equations 1 kip/ft x 20 feet 10 kip 10 kip V(x) = -1kip/ft x + 10 kip 10 V (kip) -10

  4. 1 kip/ft 20 feet x x V(x) = -1kip/ft x + 10 kip 10 kip 10 kip 10 50 M (kip-ft) V (kip) M(x) = ? -10

  5. 1 kip/ft 20 feet x x V(x) = -1kip/ft x + 10 kip 10 kip 10 kip 10 50 M (kip-ft) V (kip) M(x) = ∫ V(x) -10

  6. 1 kip/ft 20 feet x x V(x) = -1kip/ft x + 10 kip 10 kip 10 kip 10 50 M (kip-ft) V (kip) M(x) = ∫-1kip/ft x + 10 kip -10

  7. 1 kip/ft 20 feet x x V(x) = -1kip/ft x + 10 kip 10 kip 10 kip 10 50 M(0) = 0 M (kip-ft) V (kip) 1 kip 2 M(x)= - x + 10 kip x + C 2 ft -10

  8. 1 kip/ft 20 feet x x V(x) = -1kip/ft x + 10 kip 10 kip 10 kip 10 50 M(0) = 0 M (kip-ft) V (kip) 1 kip 2 M(x)= - x + 10 kip x 2 ft -10

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