A Elastic bar AB is connected to rigid member ACD as shown in the figure. Determine the displacement of point D due to the applied loading. ·A• 2 FBD 7.5 X rigid A=200mm² ME=80 GPa No AZ FAB X AZ FAB 2 Cy dimensions in meters 7.500mm = cos x=cos 81.87⁰ x=53,03 mm 0.5 Cx x=90-8=81.87° JOKN ~ why to ? ΣMc=0:12 FAB (1.5) - 12 F₁B (2) +10(2)=0 FAB=56.57KN 10KH PL 8= À why do we use cos? B=45-tan (2)=8.130° _ 56.57-10³ (2121)_. 200 (80×10²) 7.500mm 0=X= 53.03 2500 How do we get this value? - where do we get this value 0.02121 rad. Sp-OLco 0.02121(2000) 42.43mm upward ↳ where does 2000 come from?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

Need help with those asked in red within the text pleaseee

Elastic bar AB is connected to rigid member ACD as shown in the
figure. Determine the displacement of point D due to the applied loading.
FBD
7.5
X
A=Zoo mm²
ME=80 GPa
5.
rigid
X
1.5-
AZ FAB
AZ FAB
f
A
B
04
Cy
dimensions in meters
7.500mm
0.5
why?
EM₁=0:¹ (1.5)-12 FAB (2) +10 (2) = 0
FAB=56.57KN
x=90-B=81.87°
IOKN
10kH
S = À
2=cosα=cos 81.87°
x=53,03 mm
why do we use cos?
PL_56.57-10³ (2121)
200 (80×10³)
B=45°-tan' (2)=8.130°
B
How do we get
this value?
7.500 mm
where do we get
this value
53.03
2.500
Sp-OLco=0.02121(2000) 42.43mm upward
0=X=5 =0.02121 rad.
I where does 2000
come from?
Transcribed Image Text:Elastic bar AB is connected to rigid member ACD as shown in the figure. Determine the displacement of point D due to the applied loading. FBD 7.5 X A=Zoo mm² ME=80 GPa 5. rigid X 1.5- AZ FAB AZ FAB f A B 04 Cy dimensions in meters 7.500mm 0.5 why? EM₁=0:¹ (1.5)-12 FAB (2) +10 (2) = 0 FAB=56.57KN x=90-B=81.87° IOKN 10kH S = À 2=cosα=cos 81.87° x=53,03 mm why do we use cos? PL_56.57-10³ (2121) 200 (80×10³) B=45°-tan' (2)=8.130° B How do we get this value? 7.500 mm where do we get this value 53.03 2.500 Sp-OLco=0.02121(2000) 42.43mm upward 0=X=5 =0.02121 rad. I where does 2000 come from?
Expert Solution
Step 1

Given 

Area , A= 200 mm

Modulus of Elasticity, E= 80 Gpa

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 5 images

Blurred answer
Knowledge Booster
Deformations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning