Problem 4 The overhanging steel beam ABC carries a concentrated load P at end C. For portion AB of the beam, (a) derive the equation of the elastic curve, (b) determine the maximum deflection, (c) evaluate vmax for the following data: W14 × 68 | = 722 in4 E = 29 x 106 psi P = 50 kips L = 15 ft = 180 in. %3D a = 4 ft = 48 in %3D х- -by- Flange Web Thick- Thick- Axis X-X Axis Y-Y Depth d, in. Area Width ness ness Designation' A, in? br, in. to, in. L in. in S, in F in. in' S, in in. W14 x 370 109 17.9 16.5 2.66 1.66 5440 607 7.07 1990 241 4.27 145 42.7 14.8 15.5 1.09 0.680 1710 232 6.33 677 87.3 3.98 82 24.0 14.3 10.1 0.855 0.510 881 123 6.05 148 29.3 2.48 68 20.0 14.0 10.0 0.720 0.415 722 103 6.01 121 24.2 2.46 53 15.6 13.9 8.06 0.660 0.370 541 77.8 5.89 57.7 14.3 1.92 43 12.6 13.7 8.00 0.530 0.305 428 62.6 5.82 45.2 11.3 1.89 6.77 0.515 0.310 385 54.6 5.87 26.7 7.88 1.55 38 11.2 14.1 *You can draw a FBD, Shear V-diagram, and a Bending Moment-M diagram to help in determining the shear and bending moment diagrams. .. What is the equation for the bending moment as a function of x from 0 to L? M(x) = %3D :. What are the constraints at points A and B? @ x = 0, v 3 @ x = L, v = 3. Derive the equation of the elastic curve El v = 1. Determine the maximum deflection, Vmax rentadi 210 culsy Sohionle
Problem 4 The overhanging steel beam ABC carries a concentrated load P at end C. For portion AB of the beam, (a) derive the equation of the elastic curve, (b) determine the maximum deflection, (c) evaluate vmax for the following data: W14 × 68 | = 722 in4 E = 29 x 106 psi P = 50 kips L = 15 ft = 180 in. %3D a = 4 ft = 48 in %3D х- -by- Flange Web Thick- Thick- Axis X-X Axis Y-Y Depth d, in. Area Width ness ness Designation' A, in? br, in. to, in. L in. in S, in F in. in' S, in in. W14 x 370 109 17.9 16.5 2.66 1.66 5440 607 7.07 1990 241 4.27 145 42.7 14.8 15.5 1.09 0.680 1710 232 6.33 677 87.3 3.98 82 24.0 14.3 10.1 0.855 0.510 881 123 6.05 148 29.3 2.48 68 20.0 14.0 10.0 0.720 0.415 722 103 6.01 121 24.2 2.46 53 15.6 13.9 8.06 0.660 0.370 541 77.8 5.89 57.7 14.3 1.92 43 12.6 13.7 8.00 0.530 0.305 428 62.6 5.82 45.2 11.3 1.89 6.77 0.515 0.310 385 54.6 5.87 26.7 7.88 1.55 38 11.2 14.1 *You can draw a FBD, Shear V-diagram, and a Bending Moment-M diagram to help in determining the shear and bending moment diagrams. .. What is the equation for the bending moment as a function of x from 0 to L? M(x) = %3D :. What are the constraints at points A and B? @ x = 0, v 3 @ x = L, v = 3. Derive the equation of the elastic curve El v = 1. Determine the maximum deflection, Vmax rentadi 210 culsy Sohionle
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Problem 4
The overhanging steel beam ABC carries a concentrated load P at end C. For
portion AB of the beam, (a) derive the equation of the elastic curve, (b) determine
the maximum deflection, (c) evaluate vmax for the following data:
W14 × 68
| = 722 in4
E = 29 x 106 psi
P = 50 kips
L = 15 ft = 180 in.
%3D
a = 4 ft = 48 in
%3D
х-
-by-
Flange
Web
Thick-
Thick-
Axis X-X
Axis Y-Y
Depth
d, in.
Area
Width
ness
ness
Designation'
A, in?
br, in.
to, in.
L in.
in
S, in
F in.
in'
S, in
in.
W14 x 370
109
17.9
16.5
2.66
1.66
5440
607
7.07
1990
241
4.27
145
42.7
14.8
15.5
1.09
0.680
1710
232
6.33
677
87.3
3.98
82
24.0
14.3
10.1
0.855
0.510
881
123
6.05
148
29.3
2.48
68
20.0
14.0
10.0
0.720
0.415
722
103
6.01
121
24.2
2.46
53
15.6
13.9
8.06
0.660
0.370
541
77.8
5.89
57.7
14.3
1.92
43
12.6
13.7
8.00
0.530
0.305
428
62.6
5.82
45.2 11.3
1.89
6.77
0.515
0.310
385
54.6
5.87
26.7
7.88
1.55
38
11.2
14.1
*You can draw a FBD, Shear V-diagram, and a Bending Moment-M diagram to
help in determining the shear and bending moment diagrams.
Transcribed Image Text:.. What is the equation for the bending moment as a
function of x from 0 to L?
M(x) =
%3D
:. What are the constraints at points A and B?
@ x = 0, v 3
@ x = L, v =
3. Derive the equation of the elastic curve
El v =
1. Determine the maximum deflection, Vmax
rentadi
210 culsy
Sohionle
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