1. The structure shown consists of five pin-connected members (members AC and BD do not intersect). In addition to the 4kip force shown, the individual members of the structure have the weights listed in the table. Idealize the structure to be a truss and determine the forces supported by each member using the method of joints.
|
Member
|
Weight, lb
|
|
AB
|
400
|
|
AC
|
100
|
|
BC
|
200
|
|
BD
|
100
|
|
CD
|
400
|
2. The top chord of the steel truss is subjected to the load shown. The truss has support reactions Ay, Mx, and My from a roller at A and a pin at M. Determine the force supported by member FH using the method of sections. All angles are 60°.
3. A metal bottle cap opener is shown. If a vertical force of 10N at point A is required to remove a bottle cap, determine the internal forces that develop on cross section D.
4. A 5° steel wedge is used to level a 10ft long uniform steel beam AB weighing 400lb. The ends of the beam are supported by concrete walls D and E. Determine the force needed to drive the wedge to the left, and describe the motion of the beam that results (if end B of the beam is lifted or if the entire beam slides to the left). The coefficients of static friction are 0.4 for steel-on-steel contact and 0.3 for steel-on-concrete contact.
5. A rectangular area with base b and height h, and centroid at point C is shown. Determine the area moments of inertia Ix and Ix'.
