Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
Calculate all the member forces in the given truss using method of consistent deformation. Joint D is pinned supported and joint E is roller supported. F=4450 kN and L=8m. Take 'EA' same for all members В F 1 2 L 3 5 4 E

Calculate all the member forces in the given truss using method of consistent deformation. Joint D is pinned supported and joint E is roller supported. F=4450 kN and L=8m. Take 'EA' same for all members В F 1 2 L 3 5 4 E

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
**Truss Member Forces Calculation: Method of Consistent Deformation** This problem involves calculating the forces in each member of the given truss structure using the method of consistent deformation. The truss has different types of supports and members, and specific known values for the applied force and dimensions. **Parameters:** - Joint D: Pinned support - Joint E: Roller support - Force (F): 4450 kN - Length (L): 8 meters - Assume 'EA' (Elastic Modulus multiplied by Area) is the same for all members. **Truss Configuration:** The truss is a square with diagonal members intersecting at the center. The key components and members are labeled as follows: - Vertices: B, C, D, and E. - Applied horizontal force at point C labeled as 'F'. **Members:** 1. BD (Diagonal) 2. CE (Diagonal) 3. DB (Vertical) 4. DE (Bottom Horizontal) 5. EC (Vertical) 6. BC (Top Horizontal) **Diagram Breakdown:** - The square formed by points B, C, D, and E has diagonal and horizontal members that need evaluation of forces. - Point D is pinned, and point E has a roller support, implying constraints on movement at these points. - The applied force 'F' acts horizontally at point C, introducing tensile or compressive forces in the members. This configuration and method require using principles of structural analysis such as equilibrium equations, compatibility conditions, and material properties to solve for internal forces in each truss member.
Transcribed Image Text:**Truss Member Forces Calculation: Method of Consistent Deformation** This problem involves calculating the forces in each member of the given truss structure using the method of consistent deformation. The truss has different types of supports and members, and specific known values for the applied force and dimensions. **Parameters:** - Joint D: Pinned support - Joint E: Roller support - Force (F): 4450 kN - Length (L): 8 meters - Assume 'EA' (Elastic Modulus multiplied by Area) is the same for all members. **Truss Configuration:** The truss is a square with diagonal members intersecting at the center. The key components and members are labeled as follows: - Vertices: B, C, D, and E. - Applied horizontal force at point C labeled as 'F'. **Members:** 1. BD (Diagonal) 2. CE (Diagonal) 3. DB (Vertical) 4. DE (Bottom Horizontal) 5. EC (Vertical) 6. BC (Top Horizontal) **Diagram Breakdown:** - The square formed by points B, C, D, and E has diagonal and horizontal members that need evaluation of forces. - Point D is pinned, and point E has a roller support, implying constraints on movement at these points. - The applied force 'F' acts horizontally at point C, introducing tensile or compressive forces in the members. This configuration and method require using principles of structural analysis such as equilibrium equations, compatibility conditions, and material properties to solve for internal forces in each truss member.
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Matrix algebra for structural analysis
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
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
SEE MORE TEXTBOOKS