Using this solution, kindly expand and explain how to solve for Ray, Rby. Rcy, and Rdy getting the same answers in the solution. Thank you

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Using this solution, kindly expand and explain how to solve for Ray, Rby. Rcy, and Rdy getting the same answers in the solution. Thank you

8:07
1) Fined end moment
1) MEAB
- 20x(8)²
12×(8)²
⇒-1984
12
30
15
2
2) MFBA =)
20x8 12x82
2176
of
12
20
15
3) MFBC =.
-2.0x10
925
-
60x10 ➜ -735 kNm
12
8
4) MFCB => 735 kNm.
5) MFCD - JUX (6)²_ 75x (2) (4) ² - 2900 kwm.
12
10x62
6) MFDC ⇒
+ 75×(4) (2) 2
190 kwm
12
62
2) MDE ⇒ - 10x22 = -20 kNm.
Slope deflection equation
1) MAB =
MFAB + 2EI [20A +06].
1) MAB = -1984 + 4EF [OB]
→ -97103 kNm
- 11) MBA => 2176 + HEI [2013]
=) ARKAN KACA 215.55 kNm
→ TERREAK WYxV-215.55 kNm
-1ii) MBC ⇒ - 725 + GEE (200 + O₂] → TRRIEAK
6EI
~iv) MCB => 725 + GET [20c+06]
=) 18/07 from 167.05 KN
3
10
/N) MCD =
-290 + 251 [20c + OB] => -167.05 kNm
*) Moc
⇒
198 + 257 [20₂ + 0c]
20 kNm
Vii:) MDE =
20
kNm
-
||||
O
kNm
90%
kwm
Transcribed Image Text:8:07 1) Fined end moment 1) MEAB - 20x(8)² 12×(8)² ⇒-1984 12 30 15 2 2) MFBA =) 20x8 12x82 2176 of 12 20 15 3) MFBC =. -2.0x10 925 - 60x10 ➜ -735 kNm 12 8 4) MFCB => 735 kNm. 5) MFCD - JUX (6)²_ 75x (2) (4) ² - 2900 kwm. 12 10x62 6) MFDC ⇒ + 75×(4) (2) 2 190 kwm 12 62 2) MDE ⇒ - 10x22 = -20 kNm. Slope deflection equation 1) MAB = MFAB + 2EI [20A +06]. 1) MAB = -1984 + 4EF [OB] → -97103 kNm - 11) MBA => 2176 + HEI [2013] =) ARKAN KACA 215.55 kNm → TERREAK WYxV-215.55 kNm -1ii) MBC ⇒ - 725 + GEE (200 + O₂] → TRRIEAK 6EI ~iv) MCB => 725 + GET [20c+06] =) 18/07 from 167.05 KN 3 10 /N) MCD = -290 + 251 [20c + OB] => -167.05 kNm *) Moc ⇒ 198 + 257 [20₂ + 0c] 20 kNm Vii:) MDE = 20 kNm - |||| O kNm 90% kwm
Compatability Conditions
i) EMB =0.
MBA + MBC =0
EI [2.20B + 0.60c] = 96.6
ii) {Mc =0
MCB + McD = 0
EI [0.60B + 25 0₁ +0] -145
(1)
EMD=0
MeD+ MDE = 0.
ES [ ²2/06 + 400] => -130
3
Solving
0.0, (3 що
"
get
70.479
OB
-97.424
E2
FI
Op = -16.288
ΕΣ
97-03 kNm
60KN
20 kN/m
78 KN
167.05
20 kN/m↓
1 10 kN/m
20
mmmmm) (mm)
²
D
Rm³k um x
↑
个个
125-15
30.5
=
$1.18 KN
8m
32 kN/m
215-55
1) BLE
12682 134-85
MA= 97.03 kNm
яму
= 8148 KN
||||
RBy
261.67 km.
Rey 229.65 KN
Roy
= 50.5 KN,
1645
KN.
KN
10/100/
2m
20 ka
Transcribed Image Text:Compatability Conditions i) EMB =0. MBA + MBC =0 EI [2.20B + 0.60c] = 96.6 ii) {Mc =0 MCB + McD = 0 EI [0.60B + 25 0₁ +0] -145 (1) EMD=0 MeD+ MDE = 0. ES [ ²2/06 + 400] => -130 3 Solving 0.0, (3 що " get 70.479 OB -97.424 E2 FI Op = -16.288 ΕΣ 97-03 kNm 60KN 20 kN/m 78 KN 167.05 20 kN/m↓ 1 10 kN/m 20 mmmmm) (mm) ² D Rm³k um x ↑ 个个 125-15 30.5 = $1.18 KN 8m 32 kN/m 215-55 1) BLE 12682 134-85 MA= 97.03 kNm яму = 8148 KN |||| RBy 261.67 km. Rey 229.65 KN Roy = 50.5 KN, 1645 KN. KN 10/100/ 2m 20 ka
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