Statics & Strength of Materials
1. Four coplanar concurrent forces act as shown.
a) Calculate the moment of each force about point O that lies in the line of action of the F4 force.
b) Calculate the algebraic summation of the four moments and determine the direction of rotation. (F1: 104 ft-lb., F2: -113 ft-lb.,F3: -40 ft-lb., F4 = 0, Net = -49 ft-lb.)
2. Determine the resultant of the four forces in problem #1 (magnitude and angle of inclination with respect to the X axis). Compute the moment of the resultant with respect to point O and compare with the results of problem 1. (13.89 lb @ 240o), Moment of resultant should be same as in previous problem.
3. The rectangular body shown measures 6 ft. by 15 ft.
a) Calculate the algebraic summation of the moments of the forces shown about point A. (-330 ft-lb.)
b) Calculate the algebraic summation of the moments of the forces about point B. (-90 ft-lb.)
4. Determine the magnitude of a vertical resultant force which would be equivalent to the load system shown. (8820 lb.) Next determine where that force would have to act to give the same torque about the center of the beam as the loads produce. (8.91 ft left of point A) [Do not calculate the support forces in this problem.]
5. A beam is supporting two painters as shown below. Each painter weighs 180 lbs. The beam weights 100 pounds. Determine the tension in each rope (AB & FE). (260 lb., 200 lb.)
6. A 160 lb person is standing at the end of a diving board as shown below. The diving board weighs 140 lbs, and this weight may be considered to act at the center of the board. Calculate the vertical forces acting at each support, A & B. (Include the directions of the forces) (-390 lb., 690 lb.)
7. Compute the magnitude and direction of the resultant couples action on the bodies shown. (500 ft-lb, ccw)
No comments:
Post a Comment