Determine the force in each member of the truss below. Indicate whether each member is in tension or compression. The truss is supported by a rocker at A and a pin at B
Determine the force in each member of the truss below. Indicate whether each member is in tension or compression. The truss is supported by a rocker at A and a pin at B
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:**Problem Statement:**
5. Determine the force in each member of the truss below. Indicate whether each member is in tension or compression. The truss is supported by a rocker at A and a pin at B.
**Diagram Explanation:**
The image shows a truss with three points: A, B, and C.
- Point A is on the left, where the truss is supported by a rocker, allowing rotation.
- Point B is on the right, where the truss is supported by a pin, allowing both horizontal and vertical forces.
- Point C is at the top of the truss.
**Members:**
- Member AB is horizontal and 3 meters long.
- Member AC is inclined at an angle of 50° to the horizontal.
- Member BC is vertical.
**Forces:**
- A force of 100N is applied horizontally to the left at point C.
**Support Reactions:**
- At point A, there is a rocker support.
- At point B, there is a pin support, fixed in both horizontal and vertical directions.
The task involves determining the forces in members AB, AC, and BC, specifying whether each member experiences tension or compression.
Expert Solution
Step 1
A truss is supported by rocker at A and pinned at B.
A horizontal 100N force is applied at C.
Degree of static indeterminacy, Ds
Ds = m + r - 2j
m = number of members
r = number of unknown support reactions
j = number of joints.
Ds = m + r - 2j
Ds = 3 + 3 - 2*3 = 0
Thus, the truss is statically determinate, therefore we can determine the member forces using equilibrium equations only.
To determine the force in each member of the truss.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 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