Midterm Exam (Statics of Rigid Bodies)
Time Limit: 3 Hours
Latest date to submit your answer: March 16, 2020, 11:59 AM
Instructions: Solve each problem independently. Make sure to submit your solution with your name
and signature. Five points per hour will be deducted in your score if you fail to submit your answers
on time.
Problem 1. In the figure given below, points A and B are supported by a hinge and roller
respectively. Find the support reactions at A and B if P is the number of letters in your surname
multiplied by 1000. (25 points)
Example: Surname is Dela Cruz, number of letter is 8. Therefore load P is 8 x 1000 = 8000 lbs
Surname is Santos, number of letter is 6. Therefore load P is 6 x 1000 = 6000 lbs
P
A
2m
B
7m
7m
2m
5m
Problem 2. A force P is applied at point A as shown in the figure below. If P is the number of letters
in your surname multiplied by 100, what is the support reaction at E. Hint: Support at E is fixed with
vertical reaction, horizontal reaction, and a moment. (25 points)
Example: Surname is Dela Cruz, number of letter is 8. Therefore load P is 8 x 100 = 800 lbs
Surname is Santos, number of letter is 6. Therefore load P is 6 x 100 = 600 lbs
E
1ft
Problem 3. Find the support reactions of the given beam below if A is supported by a hinge and B is
supported by a roller. (10 points)
100 lb/ft
100 lb/ft
A
B
10 ft
10 ft
Problem 4. Find the support reactions of the given roof truss below if A is supported by a roller and
B is supported by a hinge. (15 points). By method of joints, determine also the forces of members AE
and member AC (25 points).
2000 lbs
2000 lbs
E
700 lbs
A
2000 lbs
F
700 lbs
G
35◦
35◦
12 ft
C
12 ft
D
12 ft
B