Prob 3. The beam below has an allowable normal stress of oallow = 24 ksi and an allowable shear stress of Tallow = 11 ksi. 10 k/ft 10 k Plot the shear (V) and moment (M) diagrams (a) and determine the maximum shear and maximum moment, Vmax and Mmax, respectively (b) Determine if a W16×36 beam can safely support T sft → the loads as shown. 10 ft (c) How do you know? Can a W16x45 beam can safely support the loads? Wide-Flange Sections or W Shapes FPS Units Flange Web х-х ахis У-у ахis Area Depth thickness width thickness Designation A tw bf tf S in. x Ib/ft in? in. in. in. in. in in3 in. in4 in3 in. W16 × 57 16.8 16.43 0.430 7.120 0.715 758 92.2 6.72 43.1 12.1 1.60 W16 × 50 14.7 16.26 0.380 7.070 0.630 659 81.0 6.68 37.2 10.5 1.59 W16 × 45 13.3 16.13 0.345 7.035 0.565 586 72.7 6.65 32.8 9.34 1.57 W16 × 36 10.6 15.86 0.295 6.985 0.430 448 56.5 6.51 24.5 7.00 1.52 W16 × 31 9.12 15.88 0.275 5.525 0.440 375 47.2 6.41 12.4 4.49 1.17 W16 × 26 7.68 15.69 0.250 5.500 0.345 301 38.4 6.26 9.59 3.49 1.12

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Prob 3.
The beam below has an allowable normal stress of
oallow = 24 ksi and an allowable shear stress of Tallow = 11 ksi.
10 k/ft
10 k
Plot the shear (V) and moment (M) diagrams
(a)
and determine the maximum shear and maximum moment,
Vmax and Mmax, respectively
(b)
Determine if a W16×36 beam can safely support
य 5t
the loads as shown.
10 ft
(c)
How do you know?
Can a W16x45 beam can safely support the loads?
Wide-Flange Sections or W Shapes FPS Units
Flange
Web
х-х ахis
У-у ахis
Area
Depth
thickness
width
thickness
Designation
A
d
tw
bf
tf
r
in. x Ib/ft
in?
in.
in.
in.
in.
in4
in3
in.
in4
in3
in.
W16 × 57
16.8
16.43
0.430
7.120
0.715
758
92.2
6.72
43.1
12.1
1.60
W16 × 50
14.7
16.26
0.380
7.070
0.630
659
81.0
6.68
37.2
10.5
1.59
W16 × 45
13.3
16.13
0.345
7.035
0.565
586
72.7
6.65
32.8
9.34
1.57
W16 × 36
10.6
15.86
0.295
6.985
0.430
448
56.5
6.51
24.5
7.00
1.52
0.275
0.250
W16 × 31
9.12
15.88
5.525
0.440
375
47.2
6.41
12.4
4.49
1.17
W16 × 26
7.68
15.69
5.500
0.345
301
38.4
6.26
9.59
3.49
1.12
Transcribed Image Text:Prob 3. The beam below has an allowable normal stress of oallow = 24 ksi and an allowable shear stress of Tallow = 11 ksi. 10 k/ft 10 k Plot the shear (V) and moment (M) diagrams (a) and determine the maximum shear and maximum moment, Vmax and Mmax, respectively (b) Determine if a W16×36 beam can safely support य 5t the loads as shown. 10 ft (c) How do you know? Can a W16x45 beam can safely support the loads? Wide-Flange Sections or W Shapes FPS Units Flange Web х-х ахis У-у ахis Area Depth thickness width thickness Designation A d tw bf tf r in. x Ib/ft in? in. in. in. in. in4 in3 in. in4 in3 in. W16 × 57 16.8 16.43 0.430 7.120 0.715 758 92.2 6.72 43.1 12.1 1.60 W16 × 50 14.7 16.26 0.380 7.070 0.630 659 81.0 6.68 37.2 10.5 1.59 W16 × 45 13.3 16.13 0.345 7.035 0.565 586 72.7 6.65 32.8 9.34 1.57 W16 × 36 10.6 15.86 0.295 6.985 0.430 448 56.5 6.51 24.5 7.00 1.52 0.275 0.250 W16 × 31 9.12 15.88 5.525 0.440 375 47.2 6.41 12.4 4.49 1.17 W16 × 26 7.68 15.69 5.500 0.345 301 38.4 6.26 9.59 3.49 1.12
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