A beam with rigid support at A, pin connection at C and roller at D has...

 

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A beam with rigid support at A, pin connection at C and roller at D has the geometry and loads as shown in the figure and parameter table. Find the equations for the shear and moment as a function of u in each segment of the beam. Follow the sign convention that positive shear tends to rotate the object clockwise, and a positive moment would tend to bend the object concave up. Take the origin for all functions to be at A. parameter M W L₁ L₂ L3 B value units N-m 880 500 N/m 4 m 3 m 4 m Segment AB (0 m << 4 m) V(z) = M(x) Segment BC (4 m <z < 7m) V(z) = M(z) Segment CD (7 m ≤z < 11 m) V(z) = M(x)= W C N N-m N N-m N N-m M A beam with rigid support at A, pin connection at C and roller at D has the geometry and loads as shown in the figure and parameter table. Find the equations for the shear and moment as a function of u in each segment of the beam. Follow the sign convention that positive shear tends to rotate the object clockwise, and a positive moment would tend to bend the object concave up. Take the origin for all functions to be at A. parameter M W L₁ L₂ L3 B value units N-m 880 500 N/m 4 m 3 m 4 m Segment AB (0 m << 4 m) V(z) = M(x) Segment BC (4 m <z < 7m) V(z) = M(z) Segment CD (7 m ≤z < 11 m) V(z) = M(x)= W C N N-m N N-m N N-m M