The beam is to be hoisted using two chains. If the resultant force is to be 600 N directed along the positive y axis, determine the magnitudes of forces FA and F acting on each chain and the angle 6 of Fa so that the magnitude of Fa is a minimum. F acts at 30° from the y axis, as shown.

F1 F2 b M a C A a a Given the system above, F1 = 34 N, F2 = 96 N, M = 245 N-m, a = 3 m, b = 2 m, and a = 40°. %3D (a) Represent the system using a single force. Determine the magnitude of the force and its location relative to point A. Round all answers to the nearest integer. The magnitude of the force (N) is: N The position of the force relative to A (m) is: m (b) Represent the system using a force and a couple moment acting at point C. Determine the magnitudes of the force and the couple moment. Round all answers to the nearest integer. The magnitude of the force (N) is: N The magnitude of the couple moment (N-m) is: N-m

1. A 200mm x 300mm beam has a simple span of 8 meters. It is necessary to place a support at midspan because of the excessive deflection at the center in order to limit the deflection to 12mm and such that the moment at that point is zero. E = 13,800 MPa. a. Determine the load carried by the beam. Express your answer in N/m. b. Compute for the reaction at the support at midspan so that the beam will not deflect at its midpan. c. Find the bending stress of the beam so that it will not deflect at its midspan. W- N/m 4m Pz 200 mm RI 300mm

Determine the reactions of the given beam. Use force method