W1 F1 F2 A D 2.0 m L2 1.0 m A beam is supported by a pin connection at B and a roller support at D. An upwards force F1 =1.8 kN acts at the left end of the beam (point A). A rightwards force F2 =25 kN acts at the right end of the beam (point E). A uniformly distributed load wi =2.6 kN/m pushes down on the beam between points C and E. The separation between A and B is L1 =0.6 m , and the separation between C and D is L2 =1.4 m .

A beam is supported by a pin connection at B and a roller support at D. An upwards force F1=F1=1.8 kNkN acts at the left end of the beam (point A). A rightwards force F2=F2=25 kNkN acts at the right end of the beam (point E). A uniformly distributed load w1=w1=2.6 kN/mkN/m pushes down on the beam between points C and E. The separation between A and B is L1=L1=0.6 mm , and the separation between C and D is L2=L2=1.4 mm .

a)Determine the vertical component of the reaction force at point D. Assume upwards forces are positive.

b)Determine the vertical component of the reaction force at point B. Assume upwards forces are positive.

c)Calculate the normal force between points A and B.

d)Calculate the normal force between points C and D.

e)What is the value of the shear force immediately to the left of point B?

f)What is the value of the shear force immediately to the right of point B?

g)What is the value of the shear force immediately to the left of point D?

h)What is the value of the shear force immediately to the right of point D?

i)Calculate the internal bending moment at point C.

j)Calculate the internal bending moment at point D.

k)At what point on the beam (not including the ends) does the internal bending moment equal zero? Enter a positive number representing the distance from the left end of the beam.