Continue solving for the reactions. Calculate the reactions at each support. Draw the shear, moment, elastic curve and axial force diagram.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter8: Engineering Materials
Section: Chapter Questions
Problem 85CQ
Question

Pls. Continue solving for the reactions.

Calculate the reactions at each support. Draw the shear, moment, elastic curve and axial force diagram.

3.) Fixed at A, Hinge at E, Internal Hinge at B.D.F.
2 GOIN
4.0m
<- Ax
8.0m
Subst. →
Σ ΜΕ ΤΟ G
Ay (10) + MA-25 (5) + 15(s) = 0
Ay (10) + MA = 50
MA= 50-10 Ay →
RIOM
- 4 Ay +50=0
Ay = 12.S KN
@ba
- 0
MA= -15
MA- 75 KN.M
@ 0
MA = 50-10AY
MA= 50-10(12.5)
25 kN
↓c
3 Ay+ 4Ax + (50-10 Ay)-D
3 Ay - 10 Ay +4 Ax +50=0
- TAY + 4 Ax +50=0 (20)
Subst →
7 Ay + 4 Ax + (50-10Ay) - 50
7Ay-10Ay +4Ax +50=50
-3Ay + 4 Ax = 0→Ba
@2a-3a
- TAY SAX50=0
- 3 Ay+gAx=0
-3 Ay+ 4AX=0
-3(12.6) + 4 Ax=0
Ax=9,315 kN
2.0m
D₂
3.0m
t
10kN/m
TEX
Fy
3.0m
@ AB
Ay
MA
@ A B C D
-Ax
AAX
Ay
15 KN
Ja
2.0m
B, 4 Bx
Toy
25kN
C
ΣMB- 0 Co³ +
Ay (3) + Ax(4) +MA-O
3Ay +4 Ax +MA-0-6
-DX
P↑
Dy
ZMp=0 C² +
Ay(1) + Ax(4) + MA-25 (2)=0
1 Ay + 4AX + MA= 50 -13
Transcribed Image Text:3.) Fixed at A, Hinge at E, Internal Hinge at B.D.F. 2 GOIN 4.0m <- Ax 8.0m Subst. → Σ ΜΕ ΤΟ G Ay (10) + MA-25 (5) + 15(s) = 0 Ay (10) + MA = 50 MA= 50-10 Ay → RIOM - 4 Ay +50=0 Ay = 12.S KN @ba - 0 MA= -15 MA- 75 KN.M @ 0 MA = 50-10AY MA= 50-10(12.5) 25 kN ↓c 3 Ay+ 4Ax + (50-10 Ay)-D 3 Ay - 10 Ay +4 Ax +50=0 - TAY + 4 Ax +50=0 (20) Subst → 7 Ay + 4 Ax + (50-10Ay) - 50 7Ay-10Ay +4Ax +50=50 -3Ay + 4 Ax = 0→Ba @2a-3a - TAY SAX50=0 - 3 Ay+gAx=0 -3 Ay+ 4AX=0 -3(12.6) + 4 Ax=0 Ax=9,315 kN 2.0m D₂ 3.0m t 10kN/m TEX Fy 3.0m @ AB Ay MA @ A B C D -Ax AAX Ay 15 KN Ja 2.0m B, 4 Bx Toy 25kN C ΣMB- 0 Co³ + Ay (3) + Ax(4) +MA-O 3Ay +4 Ax +MA-0-6 -DX P↑ Dy ZMp=0 C² + Ay(1) + Ax(4) + MA-25 (2)=0 1 Ay + 4AX + MA= 50 -13
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