The beam AB is a composite section and is formed by welding a PFC Channel1 and a universal beam (UB) Section 3 (See Table 1) together as shown in Figure 2(b). The individual sectional properties are given in Figure 2(c) and (d) where x, and y, indicate centroidal axes.

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Chapter2: Loads On Structures
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d)
Determine the moment of inertia Ixx with respect to the centroidal axes.
x10° mm*
e)
Hence, determine the maximum deflection of the beam having a length of 4 m long and applied the load of 25 kN. Use E=200GPA.
Ymax =
mm (insert "-" sign if the deflection is downward).
f)
Hence, determine the slope at A
rad
(insert "-" sign if the slope is clockwise rotation).
Transcribed Image Text:d) Determine the moment of inertia Ixx with respect to the centroidal axes. x10° mm* e) Hence, determine the maximum deflection of the beam having a length of 4 m long and applied the load of 25 kN. Use E=200GPA. Ymax = mm (insert "-" sign if the deflection is downward). f) Hence, determine the slope at A rad (insert "-" sign if the slope is clockwise rotation).
The beam AB is a composite section and is formed by welding a PFC Channel and a universal beam (UB) Section3 (See Table 1) together as shown
in Figure 2(b). The individual sectional properties are given in Figure 2(c) and (d) where x, and y, indicate centroidal axes.
I.
C
B
-L/2-
-L/2-
(a)
(b) Section a-a
t,
y.
(c) UB section
(d) PFC Channel
wwww.
Figure 2
Figure 2
Table 1. Sectional properties
UB Section
A
mm2
16000
lyo
(x108 mm)
39.3
d.
br
Section
(x10° mm)
986
mm
mm
mm
229
mm
610UB125
612
19.6
11.9
2
610UB113
14500
607
228
17.3 11.2
875
34.3
3
610UB101
13000
602
228
14.8 10.6
761
29.3
530UB92.4
11800
533
209
15.6 10.2
554
23.8
5
530UB82
10500
528
209
13.2
9.6
477
20.1
PFC Channel
A
br
Section
mm?
(x10° mm)
152
(x10° mm)
6.48
mm
mm
mm
mm
1
380PFC
27.5
7030
380
100
17.5
10
2
300PFC
27.2
5110
300
90
16
8.
72.4
4.04
250PFC
28.6
4520
250
90
15
8.
45.1
3.64
Transcribed Image Text:The beam AB is a composite section and is formed by welding a PFC Channel and a universal beam (UB) Section3 (See Table 1) together as shown in Figure 2(b). The individual sectional properties are given in Figure 2(c) and (d) where x, and y, indicate centroidal axes. I. C B -L/2- -L/2- (a) (b) Section a-a t, y. (c) UB section (d) PFC Channel wwww. Figure 2 Figure 2 Table 1. Sectional properties UB Section A mm2 16000 lyo (x108 mm) 39.3 d. br Section (x10° mm) 986 mm mm mm 229 mm 610UB125 612 19.6 11.9 2 610UB113 14500 607 228 17.3 11.2 875 34.3 3 610UB101 13000 602 228 14.8 10.6 761 29.3 530UB92.4 11800 533 209 15.6 10.2 554 23.8 5 530UB82 10500 528 209 13.2 9.6 477 20.1 PFC Channel A br Section mm? (x10° mm) 152 (x10° mm) 6.48 mm mm mm mm 1 380PFC 27.5 7030 380 100 17.5 10 2 300PFC 27.2 5110 300 90 16 8. 72.4 4.04 250PFC 28.6 4520 250 90 15 8. 45.1 3.64
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