1. Determine the slope and deflection at point B of the beam ABC shown using the Area- Moment Method. Use E = 200 GPa and I = 1665 x 106 mmª. 270 KN 45 kN/m A B 3 m -3 m -3 m T

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Determine the slope and deflection at point B of the beam ABC shown using the AreaMoment Method. Use E = 200 GPa and I = 1665 x 106 mm4

SUBJECT: THEORY OF STRUCTURES

THE SECOND PIC IS MY PROGRESS

1. Determine the slope and deflection at point B of the beam ABC shown using the Area-
Moment Method. Use E = 200 GPa and I = 1665 x 106 mm².
270 KN
45 kN/m
A
B
3 m
3 m
3 m
T
Transcribed Image Text:1. Determine the slope and deflection at point B of the beam ABC shown using the Area- Moment Method. Use E = 200 GPa and I = 1665 x 106 mm². 270 KN 45 kN/m A B 3 m 3 m 3 m T
MAA
270 KN
3mm
3m
MEI ALLY
M/E!
wrt pt (Ⓡ
45 kN/m pick ref. point
B
M/2l wrt
pt.
3m
(2) Solve for reactions
ZMA=0;
(3)
14- = 270 (0) = 45 (4+ 2) = 0
MAZ
27 M4 - 270 (3)-45 (3) (6+2) = 0
ма
MA =
= + 1822.30 KN-m, (
4ZFY = 0;
AY-270-45(3) = 0
+ZFx = 0;
✓ An=2°
✓Xn=2°
45 kN/m
-MA = "1822 50 KM²m
#1
PL = 405 (3) - 1215 14-47
E
El
0
-45 (6²) ₂-810 IN-M
EI
2E1
45 (3²)
221
O
202-5 KN.M
E1
=
=
Ay = 4015 KN, 1
Ax = 0
·bh
(2)+1
(2) +z = b
+2
MA
L=3
L=3
B
PL
45kN/m
-Ama LEGM
L=3m
w=95 KNYM
Transcribed Image Text:MAA 270 KN 3mm 3m MEI ALLY M/E! wrt pt (Ⓡ 45 kN/m pick ref. point B M/2l wrt pt. 3m (2) Solve for reactions ZMA=0; (3) 14- = 270 (0) = 45 (4+ 2) = 0 MAZ 27 M4 - 270 (3)-45 (3) (6+2) = 0 ма MA = = + 1822.30 KN-m, ( 4ZFY = 0; AY-270-45(3) = 0 +ZFx = 0; ✓ An=2° ✓Xn=2° 45 kN/m -MA = "1822 50 KM²m #1 PL = 405 (3) - 1215 14-47 E El 0 -45 (6²) ₂-810 IN-M EI 2E1 45 (3²) 221 O 202-5 KN.M E1 = = Ay = 4015 KN, 1 Ax = 0 ·bh (2)+1 (2) +z = b +2 MA L=3 L=3 B PL 45kN/m -Ama LEGM L=3m w=95 KNYM
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