Mechanics test

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


2

1. (10 Points) Determine the Support reactions at C and A (Hint: Start with the tension Force in Cable BC)


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


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


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


6

BA

25 kN/m


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”.


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


9

CA B

20 kN

10 kN/m


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


11

BA

BA

BA

Mechanics test

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