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). Theindividual 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 SectionFigure (c) PFCTable 1. Sectional propertiesUB Sectionbmm229Sectionmm?16000mm19.617.3mm11.911.2(10 mm)986(x10 mm)39.3mm610UB125612610UB1131450060722887534.313000610UB101530UB92.460222814.810.676129.34.1180053320915.610.255423.8530UB821050052820913.29.647720.1PFC Channelbmm100Channel(x10 mm)6.48mmmm380mm17.5mm10(x10 mm)1521380PFC27.57030300PFC27.25110300901672.44.04250PFC28.64520250901545.13.64 a)Determine the location of the centroid with respect to the point P;y =mmSubmit partUnansweredb)Determine the moment of inertia la with respect to the centroidal axes.x10° mm*Submit partUnansweredc)Compute the radius of gyrationr,mm

Answered: Image /qna-images/answer/4dac1df6-1e91-4710-92b3-a2aed6f5bba2.jpg

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

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

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter9: Composite Construction

Section: Chapter Questions

Problem 9.5.3P

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Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.

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

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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