HW 516 Draw the shear and bendingmoment diagrams for the bea

HW: 5-1-6 Draw the shear and bending-moment diagrams for the beam below. Use the method of writing the equations (at some location \"x\") for the shear and moment diagrams (see videos 5-6 and 5-7). Draw a fbd for the segment and show all work and label the axes and indicate maximums and minimums. 270 195% 100 075 162 203 1.62 SHEAR MOMENT Nm

Solution

From 0<x<0.75 m

V(x)=203 N

M(x)=203x

From 0.75<x<1.63

V(x)=203-270=-67 N

M(x)=203x-270(x-0.75)=202.5-67x

From 1.63<x<2.5

V(x)=203-270+100=33

M(x)=203x-270*(x-0.75)+100*(x-1.63)=39.5+33x

From 2.5<x<3.25

V(x)=203-270+100-195=-162 N

M(x)=39.5+33x-195(x-2.5)=-162x+520.5