find the deflection for B2 (point C TO F) using AMM (Area Moment Diagram)

Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN:9781337094740
Author:Segui, William T.
Publisher:Segui, William T.
Chapter3: Tension Members
Section: Chapter Questions
Problem 3.3.1P
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  • find the deflection for B2 (point C TO F) using AMM (Area Moment Diagram)
K
G
C
A
1.20 m
H
D
B-4
B-3
B-2
6.3 m
B-1
9.0 m
E
1.50 m
L
4.20 m
4.20 m
F
4.20 m
B
Transcribed Image Text:K G C A 1.20 m H D B-4 B-3 B-2 6.3 m B-1 9.0 m E 1.50 m L 4.20 m 4.20 m F 4.20 m B
Reactions:
EM₁ = 0
C
10 x 0.6 + 26.82 × 1·2+29.25 × 7-5
6:3³)
+ (16-25×9) (²1) - V₁ × 9 = 0
V₁ = 143.92 KN
+ 10 × 8·25+ (10·84 × 6·3) (1- 2 + 6
≤ Fy
= 0
VVF-10-26.82-29-25-10
- 10.84 x 6-3-
V₂
90.37
= 146.69 KN
16.25 x 9 = 0
Calculations:
=
shear Force
(just to the left = JL
SE
= 146.69 KN
SFM (JL) = 146.69 -16.25 × 0·6 = 136.94 KN
SFM (JR) = 146.69-10 · 16 · 25 × 0·6 = 126.94 KN
SF₂ (JL) = 126-94-16.25x0.6 = 117.19 KN
SF₂ (JR) = 117.19 - 26.82 = 90.37 KN
KN
SFE (JL) = 40.37 - 10.84 × 6.3 -16.25 x 6-3 = -80.3
SEE (JR) = -80.3 - 29.25 = 109.55 KN
SF (JL) = -109.55 - 16-25 x0.75=-121.74 KN
SF (JR) = -121-74-10 = -131-74 KN
SFF
16.25 KN
m
80.3
6.3-4
с
= -131-74- 16.25 × 0·75 = -143.92 KN
10 KN
⇒x= 3·336m
Just to the right = JR)|
Vc
M D
0.6m
146.69
26.82 KN
1.2m
136.94
126.94
7117-19
१०.37
C M D
85.09
+
158.33
с mp
10.84 KN/m
(FBD
309-1
+
(6.3-x)
29-25KN
80.3
$
109-55
E
6.3m
of Beam B-2) VE
10 KN
N
0.75m
K
-5m
E N
121.747
131.74
119011
F
E N
F
SFD
(KN)
143.92
103.37
BMD
(KN-m)
F
Transcribed Image Text:Reactions: EM₁ = 0 C 10 x 0.6 + 26.82 × 1·2+29.25 × 7-5 6:3³) + (16-25×9) (²1) - V₁ × 9 = 0 V₁ = 143.92 KN + 10 × 8·25+ (10·84 × 6·3) (1- 2 + 6 ≤ Fy = 0 VVF-10-26.82-29-25-10 - 10.84 x 6-3- V₂ 90.37 = 146.69 KN 16.25 x 9 = 0 Calculations: = shear Force (just to the left = JL SE = 146.69 KN SFM (JL) = 146.69 -16.25 × 0·6 = 136.94 KN SFM (JR) = 146.69-10 · 16 · 25 × 0·6 = 126.94 KN SF₂ (JL) = 126-94-16.25x0.6 = 117.19 KN SF₂ (JR) = 117.19 - 26.82 = 90.37 KN KN SFE (JL) = 40.37 - 10.84 × 6.3 -16.25 x 6-3 = -80.3 SEE (JR) = -80.3 - 29.25 = 109.55 KN SF (JL) = -109.55 - 16-25 x0.75=-121.74 KN SF (JR) = -121-74-10 = -131-74 KN SFF 16.25 KN m 80.3 6.3-4 с = -131-74- 16.25 × 0·75 = -143.92 KN 10 KN ⇒x= 3·336m Just to the right = JR)| Vc M D 0.6m 146.69 26.82 KN 1.2m 136.94 126.94 7117-19 १०.37 C M D 85.09 + 158.33 с mp 10.84 KN/m (FBD 309-1 + (6.3-x) 29-25KN 80.3 $ 109-55 E 6.3m of Beam B-2) VE 10 KN N 0.75m K -5m E N 121.747 131.74 119011 F E N F SFD (KN) 143.92 103.37 BMD (KN-m) F
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