A 20-lb force is applied to the control rod AB as shown. Knowing that the length of the rod is 9 in. and that α = 25°, determine the moment of the force about Point B by resolving the force into horizontal and vertical components. EXPRESS YOUR ANSWER UP TO 3 DECIMAL PLACES

The beam shown in the figure is supported at roller A and pinned at B and has a uniformly distributed loading w 36 kN/m over 1.5 m from the left-hand end and moment loading M = 44 kNm at 1.5 m from end B. - Determine the reaction force at support A. Input your answer as a value only in KN to one decimal place and without +/- sign. w kN/m M kNm B A X -1.5 m -1.5 m -1.5 m-

Solve the problem and answer the questions that follow. - If the supports were swapped such that the left support were a roller and the right support a pin, how would your solution change? - If the value of “w” were doubled, what would be the bending moment at the left most point of the beam?

2.1.5

Determine the magnitude of the force (lb) in member EG of the Pratt bridge truss shown  if h = 12.2 ft and P = 94.03 lb. Round off only on the final answer expressed in 3 decimal places .

1 ft 3 ft B 3 ft 3 ft (-9002 + 800f + 1000k) Ib.ft 6 ft 3 ft E (-300î – 400ĵ + 100k) Ibs The applied force at point E and the applied couple moment at point D are shown in the figure. Complete/calculate the following: (Where applicable, express the results as the (x, y, z) components of a Cartesian vector) 1. Draw the free-body diagram (FBD), showing the appropriate reaction forces and/or moments at the supports. (You must show the reactions in their component form i.e. show RAx, MRAX etc. on the FBD). Note: The support at point A is not able to resist a moment about the 'X' axis but is able to resist a force in this direction. 2. The unit vector ÅBc 3. The position vector Tɛ/a 4. The position vector īB/a

3. 10 lb *80 lb.in. 12 in. B 25 lb 60° 8 in. 40 lb Moderate The three forces and a couple shown are applied to an angle bracket. (a). Find the resultant of this system of forces. (b) Locate the points where the line of action of the resultant intersects line AB and line BC.