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
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Question
Truss Energy: Find vertical deflection at B using vitrual work
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff683c9df-66dc-454e-b746-c7ec9f099a92%2F4bf774f2-5fea-46ed-9961-1ba3c240dc56%2F9217ay3_processed.jpeg&w=3840&q=75)
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.
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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
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