mechanics test
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Florida A&M University and Florida State University College of Engineering
1
Test 2 ID: _________________________ Date: March 20, 2012 2 hours
Engineering Mechanics EGM 3512 Section 1 Spring Semester 2012 Room: P415
Use pencil (no ink) and ruler for all calculations and drawings. Units have to be in [square brackets] and have to be carried through for the entire calculations to receive full credit. Results have to be indicated by a double underline.
Problem Max Points Points
1 10
2 10
3 10
4 20
5 20
6 10
7 20
Bonus 10
Total 100
Florida A&M University and Florida State University College of Engineering
2
1. (10 Points) Determine the Support reactions at C and A (Hint: Start with the tension Force in Cable BC)
Florida A&M University and Florida State University College of Engineering
3
2. (10 Points) Determine the Support Reactions for the system below.
4 m
BA
x
3 m
35 kN/m
60 kN
3 m3 m
400 kNm
Florida A&M University and Florida State University College of Engineering
4
3. (10 Points) Determine the internal forces (N, V, M) at location x = 20 m (just to the right of support B).
8 m4 m
BA
x
8 m
30 kN/m30 kN/m
4 m8 m
50 kN
4
3
5
Florida A&M University and Florida State University College of Engineering
5
4. (20 Points) For the system below, draw the internal force (N, V, M) diagrams.
4 m
BA
x
25 kN/m
4 m 4 m
2 m
Florida A&M University and Florida State University College of Engineering
7
5. (20 Points) Determine the support reactions in terms of the given variables (w0, L, and a).
Define the functions for the shear force diagram (V(x)) and the bending moment diagram (M(x)). Draw your diagrams and include the “significant values”.
Florida A&M University and Florida State University College of Engineering
8
6. (10 Points) For the system below, draw the internal force (N, V, M) diagrams.
(Hint: notice the hinge at B.)
C
x
4 m 2 m 2 m
A B
20 kN
10 kN/m
Florida A&M University and Florida State University College of Engineering
10
7. (20 Points) For the system below, draw the internal force (N, V, M) diagrams. (Hint: Find the reaction force RBx first. Then check if the system would rotate)
12 m
BA
6 m10
kN
/m
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