a) Determine the location of the centroid with respect to the point P; y = mm Submit part Unanswered b) Determine the moment of inertia la with respect to the centroidal axes. x10° mm* Submit part Unanswered c) Compute the radius of gyrationr, mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A PFC Channell and a universal beam (UB) Section4 (See Table 1) are welded together to form the composite section as shown in Figure (a). The
individual sectional properties are given in Figure (b) and (c) where x, and y, indicate centroidal axes.
I.
Figure (a) (dimension not to scale)
-X-
y.
Figure (b) UB Section
Figure (c) PFC
Table 1. Sectional properties
UB Section
b
mm
229
Section
mm?
16000
mm
19.6
17.3
mm
11.9
11.2
(10 mm)
986
(x10 mm)
39.3
mm
610UB125
612
610UB113
14500
607
228
875
34.3
13000
610UB101
530UB92.4
602
228
14.8
10.6
761
29.3
4.
11800
533
209
15.6
10.2
554
23.8
530UB82
10500
528
209
13.2
9.6
477
20.1
PFC Channel
b
mm
100
Channel
(x10 mm)
6.48
mm
mm
380
mm
17.5
mm
10
(x10 mm)
152
1
380PFC
27.5
7030
300PFC
27.2
5110
300
90
16
72.4
4.04
250PFC
28.6
4520
250
90
15
45.1
3.64
Transcribed Image Text:A PFC Channell and a universal beam (UB) Section4 (See Table 1) are welded together to form the composite section as shown in Figure (a). The individual sectional properties are given in Figure (b) and (c) where x, and y, indicate centroidal axes. I. Figure (a) (dimension not to scale) -X- y. Figure (b) UB Section Figure (c) PFC Table 1. Sectional properties UB Section b mm 229 Section mm? 16000 mm 19.6 17.3 mm 11.9 11.2 (10 mm) 986 (x10 mm) 39.3 mm 610UB125 612 610UB113 14500 607 228 875 34.3 13000 610UB101 530UB92.4 602 228 14.8 10.6 761 29.3 4. 11800 533 209 15.6 10.2 554 23.8 530UB82 10500 528 209 13.2 9.6 477 20.1 PFC Channel b mm 100 Channel (x10 mm) 6.48 mm mm 380 mm 17.5 mm 10 (x10 mm) 152 1 380PFC 27.5 7030 300PFC 27.2 5110 300 90 16 72.4 4.04 250PFC 28.6 4520 250 90 15 45.1 3.64
a)
Determine the location of the centroid with respect to the point P;
y =
mm
Submit part
Unanswered
b)
Determine the moment of inertia la with respect to the centroidal axes.
x10° mm*
Submit part
Unanswered
c)
Compute the radius of gyrationr,
mm
Transcribed Image Text:a) Determine the location of the centroid with respect to the point P; y = mm Submit part Unanswered b) Determine the moment of inertia la with respect to the centroidal axes. x10° mm* Submit part Unanswered c) Compute the radius of gyrationr, mm
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what is the largest udl that could be applied to a cantilever beam 5m long if the allowable stress is 100mpa in tension, and 120mpa in compression?

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