MOD.MASTER.W/ETEXT ENG.MECHANICS CARD+BK
15th Edition
ISBN: 9780137519170
Author: HIBBELER
Publisher: PEARSON
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Chapter 2, Problem 20FP
To determine
The length of the rod,
The angle
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(I) [40 Points] Using centered finite difference approximations as done in class, solve the equation for O:
d20
dx²
+ 0.010+ Q=0
subject to the boundary conditions shown in the stencil below. Do this for two values of Q: (a) Q = 0.3,
and (b) Q= √(0.5 + 2x)e-sinx (cos(5x)+x-0.5√1.006-x| + e −43*|1+.001+x* | * sin (1.5 − x) +
(cosx+0.001 + ex-1250+ sin (1-0.9x)|) * x - 4.68x4. For Case (a) (that is, Q = 0.3), use the stencil in Fig.
1. For Case (b), calculate with both the stencils in Fig. 1 and Fig 2. For all the three cases, show a table as
well as a plot of O versus x. Discuss your results. Use MATLAB and hand in the MATLAB codes.
1
0=0
x=0
2
3
4
0=1
x=1
Fig 1
1 2 3 4 5 6 7 8 9 10
11
0=0
x=0
0=1
x=1
Fig 2
Fig 2
(II) [60 Points] Using centered finite difference approximation as done in class, solve the equation:
020 020
+
მx2 მy2
+0.0150+Q=0
subject to the boundary conditions shown in the stencils below. Do this for two values of Q: (a) Q = 0.3,
and (b) Q = 10.5x² + 1.26 * 1.5 x 0.002 0.008. For Case (a) (that is, Q = 0.3) use Fig 3. For Case (b),
use both Fig. 3 and Fig 4. For all the three cases, show a table as well as the contour plots of versus
(x, y), and the (x, y) heat flux values at all the nodes on the boundaries x = 1 and y = 1. Discuss your
results. Use MATLAB and hand in the MATLAB codes. (Note that the domain is (x, y)e[0,1] x [0,1].)
0=0
0=0
4
8
12
16
10
Ꮎ0
15
25
9
14
19
24
3
11
15
0=0
8-0
0=0
3
8
13
18
23
2
6
сл
5
0=0
10
14
6
12
17
22
1
6
11
16
21
13
e=0
Fig 3
Fig 4
Textbook: Numerical Methods for Engineers, Steven C. Chapra and Raymond P. Canale, McGraw-Hill, Eighth
Edition (2021).
Ship construction question. Sketch and describe the forward arrangements of a ship. Include componets of the structure and a explanation of each part/ term.
Ive attached a general fore end arrangement. Simplfy construction and give a brief describion of the terms.
Chapter 2 Solutions
MOD.MASTER.W/ETEXT ENG.MECHANICS CARD+BK
Ch. 2 - Determine the magnitude of the resultant force...Ch. 2 - Two forces act on the hook. Determine the...Ch. 2 - Determine the magnitude of the resultant force and...Ch. 2 - Resolve the 30-lb force into components along the...Ch. 2 - The force F = 450 lb acts on the frame. Resolve...Ch. 2 - If force F is to have a component along the u axis...Ch. 2 - Determine the magnitude of the resultant force FR...Ch. 2 - Resolve the force F1 into components acting along...Ch. 2 - Resolve the force F2 into components acting along...Ch. 2 - Prob. 10P
Ch. 2 - Determine the angle for connecting member A to...Ch. 2 - Determine the magnitude and direction of the...Ch. 2 - Determine the magnitude and direction of the...Ch. 2 - Determine the magnitude and direction of FA SO...Ch. 2 - If the resultant force of the two tugboats is 3...Ch. 2 - If FB = 3 kN and = 45, determine the magnitude of...Ch. 2 - If the resultant force of the two tugboats is...Ch. 2 - Resolve each force acting on the post into its x...Ch. 2 - Determine the magnitude and direction of the...Ch. 2 - Prob. 9FPCh. 2 - If the resultant force acting on the bracket is to...Ch. 2 - If the magnitude of the resultant force acting on...Ch. 2 - Determine the magnitude of the resultant force and...Ch. 2 - Resolve each force acting on the gusset plate into...Ch. 2 - Determine the magnitude of the resultant force...Ch. 2 - Prob. 39PCh. 2 - Determine the magnitude of the resultant force and...Ch. 2 - Determine the magnitude of the resultant force and...Ch. 2 - Express F1, F2, and F3 as Cartesian vectors.Ch. 2 - Prob. 43PCh. 2 - Determine the magnitude and orientation of FB so...Ch. 2 - Prob. 48PCh. 2 - Express F1, F2, and F3 as Cartesian vectors.Ch. 2 - Prob. 56PCh. 2 - If the resultant force acting on the bracket is...Ch. 2 - Prob. 58PCh. 2 - If F = 5 kN and = 30, determine the magnitude of...Ch. 2 - Determine the coordinate direction angles of the...Ch. 2 - Prob. 14FPCh. 2 - Prob. 15FPCh. 2 - Prob. 16FPCh. 2 - Prob. 17FPCh. 2 - Prob. 18FPCh. 2 - Prob. 61PCh. 2 - Prob. 66PCh. 2 - Determine the magnitude and coordinate direction...Ch. 2 - Specify the magnitude and coordinate direction...Ch. 2 - Prob. 73PCh. 2 - Prob. 74PCh. 2 - Prob. 75PCh. 2 - Prob. 77PCh. 2 - Prob. 79PCh. 2 - Prob. 81PCh. 2 - Prob. 82PCh. 2 - If the direction of the resultant force acting on...Ch. 2 - Express the position vector rAB in Cartesian...Ch. 2 - Prob. 20FPCh. 2 - Express the force as a Cartesian vector. Prob....Ch. 2 - Prob. 22FPCh. 2 - Prob. 23FPCh. 2 - Prob. 24FPCh. 2 - Determine the length of the connecting rod AB by...Ch. 2 - Prob. 88PCh. 2 - Prob. 90PCh. 2 - Prob. 91PCh. 2 - Determine the magnitude and coordinate direction...Ch. 2 - Prob. 98PCh. 2 - Prob. 25FPCh. 2 - Determine the angle between the force and the...Ch. 2 - Prob. 27FPCh. 2 - Prob. 28FPCh. 2 - Find the magnitude of the projected component of...Ch. 2 - Prob. 30FPCh. 2 - Determine the magnitudes of the components of the...Ch. 2 - Determine the components of F that act along rodAC...Ch. 2 - Determine the magnitudes of the components of F =...Ch. 2 - Prob. 111PCh. 2 - Prob. 112PCh. 2 - Determine the angle between the two cables...Ch. 2 - Determine the angle between the cables AB and AC....Ch. 2 - Determine the magnitude of the projected component...Ch. 2 - Determine the magnitude of the projected component...Ch. 2 - Determine the magnitudes of the projection of the...Ch. 2 - Determine the magnitude of the resultant force FR...Ch. 2 - Prob. 5RPCh. 2 - Prob. 6RPCh. 2 - Prob. 7RPCh. 2 - Prob. 8RP
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