MFGE 201 Engineering Mechanics I - HOMEWORK IV: Questions (1 - 8)

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MFGE 201 Engineering Mechanics I - HOMEWORK IV:Questions (1- 8)
Questions (9-16):Self study questions for Final examination
Date of assignment:23.12.2011 Friday,till 16:00 pm
Question 1
Determine the normal force,shear force and moment at a section passing through point D.Take w = 150 N/m
1
Question 2
Determine the normal force,shear force,and moment at sections passing through points E and F.Member BC is
pinned at B and there is a smooth slot in it at C.The pin at C is xed to member CD.
2
Question 3
Determine the normal force,shear force,and moment acting at section passing through point D of the two-member
frame.
3
Question 4
Determine the normal force,shear force,and moment acting at section passing through point C.Take P = 8 kN.
4
Question 5
Draw the shear and moment diagrams for the beam ABCDE.All pulleys have a radius of 0:1 m.Neglect the weight
of the beam and pulley arrangement.The load weighs 500 N.
5
Question 6
Draw the shear and moment diagrams for the beam.
6
Question 7 (Old Exam question)
Draw the shear and moment diagrams for the beam ABC.
7
Question 8 (Old Exam question)
The beam ADBEC consists of two segments pin connected at D.Draw the normal force,shear force and bending
moment diagrams for the beam ADBEC.
800 N/m
A
B
C
E
D
1.0 m
1.0 m
1.0 m
1.0 m
3
4
5
500 N
0.5 m
0.2 m
8
Question 9
Determine the distance y to the center of gravity of the homogeneous rod bent into the parabolic shape
9
Question 10
Locate the centroid of the parabolic area
10
Question 11
Locate the centroid (x;y) of the shaded area.
11
Question 12
Locate the center of mass (x;y) of the four particles.
12
Question 13
Locate the centroid (x;y) of the members cross sectional area.
13
Question 14
Determine the moment of inertia of the area about y axis.Solve the problem in two ways,using rectangular
di¤erential elements (a) having thickness of dx;and (b) having thickness of dy.
14
Question 15
a) Determine the distance x to the centroid of the beams cross-sectional area:then nd the moment of intertia
about y
0
axis.
b) Determine the moment of inertia of the beams cross-sectional about x
0
axis.
15
Question 16
Locate the centroid y of the cross-section and determine the moment of interia of the section about x axis.
16