EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
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Textbook Question
Chapter 6, Problem 14FP
Determine the horizontal and vertical components of reaction at pin C.
Prob. F6-14
Expert Solution & Answer
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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 6 Solutions
EBK ENGINEERING MECHANICS
Ch. 6 - Determine the force in each member of the truss....Ch. 6 - Determine the force in each member of the truss....Ch. 6 - Determine the force in each member of the truss....Ch. 6 - Determine the greatest load P that can be applied...Ch. 6 - Identify the zero-force members in the truss....Ch. 6 - Determine the force in each member of the truss....Ch. 6 - Determine the force in each member of the truss...Ch. 6 - Determine the force in each member of the truss...Ch. 6 - Determine the force in each member of the truss...Ch. 6 - Determine the force in each member of the truss in...
Ch. 6 - Members AB and BC can each support a maximum...Ch. 6 - Members AB and BC can each support a maximum...Ch. 6 - Determine the force in each member of the truss....Ch. 6 - If the maximum force that any member can support...Ch. 6 - Determine the force in each member of the truss...Ch. 6 - Determine the force in each member of the truss...Ch. 6 - Prob. 22PCh. 6 - Determine the force in members BC, CF, and FE....Ch. 6 - Determine the force in members LK, KC, and CD of...Ch. 6 - Determine the force in members KJ, KD, and CD of...Ch. 6 - Determine the force in members EF, CF, and BC of...Ch. 6 - Determine the force in members DC, HC, and HI of...Ch. 6 - Determine the force in members ED, EH, and GH of...Ch. 6 - Determine the force in members HG, HE and DE of...Ch. 6 - Determine the force in members CD, HI, and CH of...Ch. 6 - Prob. 39PCh. 6 - Determine the force in members CD, CF, and CG and...Ch. 6 - Determine the force developed in members FE, EB,...Ch. 6 - Determine the force in members CD, CJ, GJ, and CG...Ch. 6 - Prob. 48PCh. 6 - Determine the force in members HI, FI, and EF of...Ch. 6 - Determine the force P needed to hold the 60-lb...Ch. 6 - Determine the horizontal and vertical components...Ch. 6 - If a 100-N force is applied to the handles of the...Ch. 6 - Determine the normal force that the 100-lb plate A...Ch. 6 - Determine the force P needed to lift the load....Ch. 6 - Prob. 19FPCh. 6 - Prob. 20FPCh. 6 - Determine the components of reaction at A and C....Ch. 6 - Determine the components of reaction at C. Prob....Ch. 6 - Determine the components of reaction at E. Prob....Ch. 6 - Determine the components of reaction at D and the...Ch. 6 - Determine the force P required to hold the 100-lb...Ch. 6 - Determine the horizontal and vertical components...Ch. 6 - The bridge frame consists of three segments which...Ch. 6 - Determine the reactions at supports A and B. Prob....Ch. 6 - Determine the horizontal and vertical components...Ch. 6 - The compound beam is pin supported at B and...Ch. 6 - When a force of 2 lb is applied to the handles of...Ch. 6 - The hoist supports the 125-kg engine. Determine...Ch. 6 - Prob. 88PCh. 6 - Determine the horizontal and vertical components...Ch. 6 - The pipe cutter is clamped around the pipe P. If...Ch. 6 - Five coins are stacked in the smooth plastic...Ch. 6 - The nail cutter consists of the handle and the two...Ch. 6 - A man having a weight of 175 lb attempts to hold...Ch. 6 - Prob. 97PCh. 6 - If a force of F = 350 N is applied to the handle...Ch. 6 - Prob. 106PCh. 6 - If a force of F = 50 lb is applied to the pads at...Ch. 6 - The spring has an unstretched length of 0.3 m....Ch. 6 - The spring has an unstretched length of 0.3 m....Ch. 6 - The piston C moves vertically between the two...Ch. 6 - Prob. 113PCh. 6 - The platform scale consists of a combination of...Ch. 6 - The three pin-connected members shown in the top...Ch. 6 - Determine the force in each member of the truss...Ch. 6 - Determine the force in each member of the truss...Ch. 6 - Determine the force in member GJ and GC of the...Ch. 6 - Determine the force in members GF, FB, and BC of...Ch. 6 - Determine the horizontal and vertical components...Ch. 6 - Determine the horizontal and vertical components...Ch. 6 - Determine the resultant forces at pins B and C on...
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