Truss Energy: find t Daft 6 ft 2.22 kips 2225/1 Kips 8ft Vertical deflection at B using Virtual Work Ayo = ? Дув √₂p=5W/m² P = 5 kips
Truss Energy: find t Daft 6 ft 2.22 kips 2225/1 Kips 8ft Vertical deflection at B using Virtual Work Ayo = ? Дув √₂p=5W/m² P = 5 kips
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Truss Energy: Find vertical deflection at B using vitrual work

Transcribed Image Text:**Truss Energy: Find Vertical Deflection at Point B Using Virtual Work**
**Objective:**
Determine the vertical deflection at point B, denoted as ΔyB.
**Diagram Explanation:**
This diagram illustrates a truss structure used in engineering to calculate the vertical deflection at a specific point using the method of virtual work.
- The truss comprises three primary members forming a triangular shape with a vertical and horizontal alignment.
- The left vertical member is 12 ft in length, and the base horizontal member is 8 ft long.
- Forces are applied as follows:
- A vertical force of 5 kips is acting upwards at the top left joint of the truss.
- A horizontal force of 2.22 kips is applied to the base towards the right.
- At point B, a downward load (P) of 5 kips is applied.
- The vertical distance from the base to the point where the top vertical force is applied is 6 ft.
**Goal:**
Determine the virtual work done to find the vertical deflection at point B (ΔyB).
This application of virtual work involves calculating internal forces in members due to external loads to understand how they impact the deflection at specific points.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Drawing the free body diagram of the given truss system:-
VIEWStep 2: Finding the P forces due to given loads:-
VIEWStep 3: Finding K forces due to applied load at joint B of the given truss:-
VIEWStep 4: By using virtual work method to finding the vertical deflection at joint B of the given truss system
VIEWSolution
VIEWStep by step
Solved in 5 steps with 5 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