90 likes | 179 Views
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.
E N D
Shear and Moment Equations 1 kip/ft x 20 feet 10 kip 10 kip V(x) = ? 10 V (kip) -10
Shear and Moment Equations 1 kip/ft x 20 feet 10 kip 10 kip V(x) = mx + b 10 V (kip) -10
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
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
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
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
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
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