Member AC of the following truss is subjected to a temperature change of +110°C. Calculate the displacements of node A and the forces in each member using the stiffness method. Take: a= 2x 10-5; EA= 2x 104 kN; the cross section area of AC as A; the cross section area of AD as A√2; the cross section area of AB as 5.0A. b) Ay 1.732 m Part 1. The displacements at joint A: a) A₂ = = 1 m mm mm Part 2. The force in each member: a) NAB= b) NAC c) NAD = KN KN KN B C A
Member AC of the following truss is subjected to a temperature change of +110°C. Calculate the displacements of node A and the forces in each member using the stiffness method. Take: a= 2x 10-5; EA= 2x 104 kN; the cross section area of AC as A; the cross section area of AD as A√2; the cross section area of AB as 5.0A. b) Ay 1.732 m Part 1. The displacements at joint A: a) A₂ = = 1 m mm mm Part 2. The force in each member: a) NAB= b) NAC c) NAD = KN KN KN B C A
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Member AC of the following truss is subjected to a temperature change of +110 °C. Calculate the displacements of node A and the forces in each member using the
stiffness method.
Take: a= 2x 10-5; EA= 2x 104 kN; the cross section area of AC as A; the cross section area of AD as A√2; the cross section area of AB as 5.0A.
1.732 m
1 m
Part 1.
The displacements at joint A:
a) A₂ =
b) Ay =
mm
mm
Part 2.
The force in each member:
a) NAB =
b) NAC =
c) NAD
kN
kN
kN
A
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Step 1: Introducing Given Data
VIEWStep 2: Calculate Force matrix of member 2 (AC)
VIEWSolution
VIEWStep 3: Calculate Stiffness matrix of member 1
VIEWStep 4: Calculate Stiffness matrix of member 2 & 3
VIEWStep 5: Calculate Global matrix
VIEWStep 6: Using load displacement equation
VIEWStep 7: Calculate displacement u1 & u2
VIEWStep 8: Calculate the force in member 1 (AB)
VIEWStep 9: Calculate the force in member 2 (AC)
VIEWStep 10: Calculate the force in member 3 (AD)
VIEW
Trending now
This is a popular solution!
Step by step
Solved in 11 steps with 14 images
Knowledge Booster
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.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning