Q2 A truss as shown in Fig. Q2 is loaded with a horizontal force of 5 kN at joint D and a vertical force of 10 kN at joint B. For each truss member, the cross-sectional area is A - 200 mm², the Young's modulus is E-200 GPa, and the coefficient of thermal expansion is a = 12x10-5°C. (1) Calculate the member deformations for all truss members due to the applied two forces. Also calculate the horizontal displacement at joint D due to the applied two forces.
Q2 A truss as shown in Fig. Q2 is loaded with a horizontal force of 5 kN at joint D and a vertical force of 10 kN at joint B. For each truss member, the cross-sectional area is A - 200 mm², the Young's modulus is E-200 GPa, and the coefficient of thermal expansion is a = 12x10-5°C. (1) Calculate the member deformations for all truss members due to the applied two forces. Also calculate the horizontal displacement at joint D due to the applied two forces.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Qn 2, Part 1 only
Transcribed Image Text:Q2 A truss as shown in Fig. Q2 is loaded with a horizontal force of 5 kN at joint D and a
vertical force of 10 kN at joint B. For each truss member, the cross-sectional area is A = 200
mm², the Young's modulus is E = 200 GPa, and the coefficient of thermal expansion is a =
12x10-5/°C.
(1) Calculate the member deformations for all truss members due to the applied two forces.
Also calculate the horizontal displacement at joint D due to the applied two forces.
(2) If members AB and AD are subjected to temperature change of AT = -40°C, calculate the
additional member deformation in members AB and AD due to temperature change only.
(3) What is the total horizontal displacement at joint D due to the combined effects of the
applied loads and the temperature change?
2 m
2 m
B
10 kN
Fig. Q2
2 m
5 kN
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
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