please help me with this as much as you can, I really cannot understand it 1. A simply supported wood beam AB with span length L = 8 m carries a uniform load ofintensity q = 10.8 kN/m and a concentrated load P= 25 kN at a distance a = 2.5 m fromRH end (see figure).a. Calculate the maximum bending stress due to the load if the beam has a rectangularcross section with width b = 150 mm and height h=320 mm. You will need to setup Shear and Moment functions to determine MMax.b. Calculate the shear stresses in the beam (at the location of maximum shear force)at points located at the Neutral Axis and 40 mm, 80 mm, 120 mm and 160 mmfrom the N/A of the beam. From these calculations, plot a graph showing thedistribution of shear stresses from top to bottom of the beam.P-L2. Using the results from problem 1 above and assuming the allowable stress Allow = 150MPa, calculate the following:9a. The required section modulus S. Then select the most economical wide-flangebeam (W shape) from Table F-1(b) in Appendix F (attached),b. Recalculate S, taking-into-account the weight (IE deadload) of the beam. Select anew beam if necessaryLhaHI Table F-1(b)Properties of Wide-Flange Sections (W Shapes) - SI Units (Abridged List)FlangeMassperWebDesignation meter Area Depth thicknesskgmm² mmW 760 X 314 314W 760 X 196196W 610 X 241 241W 610 X 140 140W 460 X 177 177W 460 x 106 106W 410 X 149W 410 X 114W 410 X 85W 410 x 46.1W 360 x 179W 360 x 122W 360 x 79W 360 x 39W 310 X 129W 310 x 74W 310 X 52W 310 X 21W 250 x 89W 250 x 67W 250 X 44.8W 250 x 17.914911485.046.117912212974.052.021.040,100 78525,100 77089.067.044.817.930,800 63517,900 61722,600 48313,400 47019,000 43214,600 41910,8004175890 40479.039.0 496022,800 36815,50036310,100 35335316,500 3189420 3106650 3182680 30211,400 2598580 2575700 2672280 251W 200 X 526650 206W 200 X 41.752.041.731.35320 205W 200 x 31.33970 210W 200 x 22.5 22.5 2860 206Note: Axes 1-1 and 2-2 are principal centroidal axes.mm19.715.617.913.116 176616.612.614.911.610.96.9915.013.09.406.4813.110.78.897.624.83Width Thickness Imm3842673302302871943079.402057.62 1675.08101264262181140mm33.525.47.87 2047.241666.35 1346.22 10231.022.226.920.637323.9257 21.720516.812810.725.019.318.211.220.616.313.25.7225717.320415.7148 13.01015.3312.611.810.2Axis 1-1Sx 105 mm² x 10³ mm³8.00429024002150112091248762046231615657436722510230816311936.914210370.822.452.940.831.320.010,90062306780364037902080287022001510773rmm328310264251201191180178171163311015820201541270 1505781441090 112805 110531111179Axis 2-2IS× 105 mm² × 10³ mm³ mm99.131581.618445.410525.177.457.417.95.1620661.624.01930137 1001050132747 1332441173.7123.410.20.98248.322.26.950.907511 89.2 17.739887.69.03298 88.64.0719383.61.421640610112039373625958544119873.6111048023458.265122812219.537721894.218.017410960.827.9r88.657.277.550.368.343.263.862.740.629.795.063.048.827.478.049.839.119.165.351.134.819.951.641.132.022.3

A simply supported wood beam AB with span length L = 8 m carries a uniform load of intensity q = 10.8 kN/m and a concentrated load P= 25 kN at a distance a = 2.5 m from RH end (see figure). a. Calculate the maximum bending stress due to the load if the beam has a rectangular cross section with width b = 150 mm and height h=320 mm. You will need to set up Shear and Moment functions to determine MMax. b. Calculate the shear stresses in the beam (at the location of maximum shear force) at points located at the Neutral Axis and 40 mm, 80 mm, 120 mm and 160 mm from the N/A of the beam. From these calculations, plot a graph showing the distribution of shear stresses from top to bottom of the beam. L a H P h

A simply supported wood beam AB with span length L = 8 m carries a uniform load of intensity q = 10.8 kN/m and a concentrated load P= 25 kN at a distance a = 2.5 m from RH end (see figure). a. Calculate the maximum bending stress due to the load if the beam has a rectangular cross section with width b = 150 mm and height h=320 mm. You will need to set up Shear and Moment functions to determine MMax. b. Calculate the shear stresses in the beam (at the location of maximum shear force) at points located at the Neutral Axis and 40 mm, 80 mm, 120 mm and 160 mm from the N/A of the beam. From these calculations, plot a graph showing the distribution of shear stresses from top to bottom of the beam. L a H P h

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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Question

please help me with this as much as you can, I really cannot understand it

1. A simply supported wood beam AB with span length L = 8 m carries a uniform load of
intensity q = 10.8 kN/m and a concentrated load P= 25 kN at a distance a = 2.5 m from
RH end (see figure).
a. Calculate the maximum bending stress due to the load if the beam has a rectangular
cross section with width b = 150 mm and height h=320 mm. You will need to set
up Shear and Moment functions to determine MMax.
b. Calculate the shear stresses in the beam (at the location of maximum shear force)
at points located at the Neutral Axis and 40 mm, 80 mm, 120 mm and 160 mm
from the N/A of the beam. From these calculations, plot a graph showing the
distribution of shear stresses from top to bottom of the beam.
P
-
L
2. Using the results from problem 1 above and assuming the allowable stress Allow = 150
MPa, calculate the following:
9
a. The required section modulus S. Then select the most economical wide-flange
beam (W shape) from Table F-1(b) in Appendix F (attached),
b. Recalculate S, taking-into-account the weight (IE deadload) of the beam. Select a
new beam if necessary
L
h
a
H
I

Table F-1(b)
Properties of Wide-Flange Sections (W Shapes) - SI Units (Abridged List)
Flange
Mass
per
Web
Designation meter Area Depth thickness
kg
mm² mm
W 760 X 314 314
W 760 X 196
196
W 610 X 241 241
W 610 X 140 140
W 460 X 177 177
W 460 x 106 106
W 410 X 149
W 410 X 114
W 410 X 85
W 410 x 46.1
W 360 x 179
W 360 x 122
W 360 x 79
W 360 x 39
W 310 X 129
W 310 x 74
W 310 X 52
W 310 X 21
W 250 x 89
W 250 x 67
W 250 X 44.8
W 250 x 17.9
149
114
85.0
46.1
179
122
129
74.0
52.0
21.0
40,100 785
25,100 770
89.0
67.0
44.8
17.9
30,800 635
17,900 617
22,600 483
13,400 470
19,000 432
14,600 419
10,800
417
5890 404
79.0
39.0 4960
22,800 368
15,500
363
10,100 353
353
16,500 318
9420 310
6650 318
2680 302
11,400 259
8580 257
5700 267
2280 251
W 200 X 52
6650 206
W 200 X 41.7
52.0
41.7
31.3
5320 205
W 200 x 31.3
3970 210
W 200 x 22.5 22.5 2860 206
Note: Axes 1-1 and 2-2 are principal centroidal axes.
mm
19.7
15.6
17.9
13.1
16 17
66
16.6
12.6
14.9
11.6
10.9
6.99
15.0
13.0
9.40
6.48
13.1
10.7
8.89
7.62
4.83
Width Thickness I
mm
384
267
330
230
287
194
307
9.40
205
7.62 167
5.08
101
264
262
181
140
mm
33.5
25.4
7.87 204
7.24
166
6.35 134
6.22 102
31.0
22.2
26.9
20.6
373
23.9
257 21.7
205
16.8
128
10.7
25.0
19.3
18.2
11.2
20.6
16.3
13.2
5.72
257
17.3
204
15.7
148 13.0
101
5.33
12.6
11.8
10.2
Axis 1-1
S
x 105 mm² x 10³ mm³
8.00
4290
2400
2150
1120
912
487
620
462
316
156
574
367
225
102
308
163
119
36.9
142
103
70.8
22.4
52.9
40.8
31.3
20.0
10,900
6230
6780
3640
3790
2080
2870
2200
1510
773
r
mm
328
310
264
251
201
191
180
178
171
163
3110
158
2020
154
1270 150
578
144
1090 112
805 110
531
111
179
Axis 2-2
I
S
× 105 mm² × 10³ mm³ mm
99.1
315
81.6
184
45.4
105
25.1
77.4
57.4
17.9
5.16
206
61.6
24.0
1930
137 100
1050
132
747 133
244
117
3.71
23.4
10.2
0.982
48.3
22.2
6.95
0.907
511 89.2 17.7
398
87.6
9.03
298 88.6
4.07
193
83.6
1.42
1640
610
1120
393
736
259
585
441
198
73.6
1110
480
234
58.2
651
228
122
19.5
377
218
94.2
18.0
174
109
60.8
27.9
r
88.6
57.2
77.5
50.3
68.3
43.2
63.8
62.7
40.6
29.7
95.0
63.0
48.8
27.4
78.0
49.8
39.1
19.1
65.3
51.1
34.8
19.9
51.6
41.1
32.0
22.3

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