CENG
41
STATICS
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CENG
41
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STATICS
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Assignment Number |
Homework Problems (from text unless noted) |
1 |
2.7, 2.13, 2.20. Review Sample problem 2.2. |
2 |
2.37 (solved two ways, as on the class handout: part 1: use horizontal x and vertical y axes; part 2: set the x-axis along the incline and the y axis perpendicular to it), 2.41 (Solve by rotating the axes so the x-axis lies along member BC) |
3 |
Handout problem, 2.62. Not to be graded, but recommended: 2.59, 2.60 |
| 4 |
2.79, 2.104 |
5 |
3.5 (hint: break P into x and y components, then apply the cross product. see sample 3.2), 3.21, 3.24 (set up the determinant only, solving it is optional. Note that you will have to express FAB in i,j,k format using a unit vector as in sample 3.4) |
6 |
3.39 (hint: see text, p.101 "solving problems on your own" part 1), 3.55 (you will need to find a unit vector for axis AD and the force from B to H, then use the full determinant, eq. 3,43 to solve), optional (not graded) 3.50. |
| 7 |
3.70 (To sum moments, use the convention that counterclockwise is positive and clockwise is negative, then add the moments due to separate forces (or couples) accordingly. For part c, use two cross products: rAB x FB and rAC x FCand add the results by adding i, j, and k terms), 3.72 (part c only, and identify where horizontal forces are being applied). |
8 |
3.94 (another door problem...all that's required is to define the force, along AB pointing towards B, at the handle B as a 3-D vector, and find the moment of this force about point C. Use a determinant to solve it), 3.105 (taking moments about C will help. Identify distances as relative to point C). Optional (not graded): 3.121 |
X |
Recommended (not graded): 4.2, 4.9. Also, review sample problems 4.1 and 4.2. |
9 |
4.118, 4.150. Recommended (not graded) review problem: 4.5. |
10 |
5.2, 5.9 (fill out a table as in class. Also, show how you construct your composite shape, as in Sample problem 5.1) |
11 |
5.69, 5.102, 5.105.(see sample problem 5.12 to help with your approach). Recommended (not graded): 5.71 Clarifications on problem 5.102: the cylinrical peice with r=12 mm has a total length of 10 mm; the hole with a radius r=13 mm is a cylindrical hole all the way through (length=18 mm); finally, the vertical line at z=45 mm passes through the center of the 12 mm diameter cylinder. |
12 |
6.12 (Use the method of joints); 6.32a; 6.33b; 6.54 (ONLY find the force in member FI and whether it is in compression or tension). |
13 |
6.84 (part a only), 6.105 (also, review Sample problem 6.5, especially noting how the vector components at A, B and C change directions in the different component free body diagrams) |
X |
Recommended (not graded): 6.130, 6.146 |
14 |
7.21(a); 7.41 ("cut" the beam at least at points A, C, and at the midpoint, drawing individual FBDs and solving equations as we did in class. Then solve as many more points as necessary to draw the diagrams); 7.59(a) (ONLY do the following: solve for the bending moments, in terms of P, by "cutting" the beam at x=2ft, x=4ft, then using those as Mmin and Mmax, follow the textbook hint to determine P.) |
15 |
7.70 (Solve for the V and M diagrams using the integral relationships. Check that your vertical reactions at A and D are 410N and 1310N, respectively; also, draw neat V and M diagrams, labelling key points.); 8.15(a) (note you will have 2 normal forces and 2 frictions forces, each applied at A and B) |
16 |
Writing assignment at end of this handout from class. |
17 |
Complete the handout from class; recommended (not graded): problem 9.3 |
X |
Recomended for review: Sample problems 9.4 and 9.5 (p 488-489 in the text) |
Note: Not all homework problems will necessarily be graded; a subset may be selected by the professor for grading.