A beam of 20 m spam is hinged at each end. It carries a UDL of 3/4 kN/m on the left hand half of the beam, together with a 12kN point load at 15 m from the left hand end. In addition to this, it is subjected to couples of 28.5 kN-m is anticlockwise direction on left hand support and 41.75 kN-m in the clockwise direction at the right hand support. Find the reactions at the ends and draw the B. M. and S.F. diagrams inserting principal values.

A beam (AB) is supported by a roller at B and a pin at A. It is subjected to the following uniform distributed loads. Determine the reaction force at roller B. 9 kN/m 6 kN/m 3 kN/m 1.5 m 3m 15m

nonuniform beam 4.50 m long and weighing 1.40 kNmakes an angle of 25.0° below the horizontal. It is held in position bya frictionless pivot at its upper right end and by a cable 3.00 m fartherdown the beam and perpendicular to it . The center ofgravity of the beam is 2.00 m down the beam from the pivot. Lightingequipment exerts a 5.00 kN downward force on the lower left end ofthe beam. Find the tension T in the cable and the horizontal and verticalcomponents of the force exerted on the beam by the pivot. Start bysketching a free-body diagram of the beam.

The 480-kg uniform beam is subjected to the three external loads shown. Compute the reactions at the support point O. The x-y plane is vertical. Positive values are to the right, up, and counterclockwise.