In the truss structure shown below, all members except the central one are perfectly rigid. The structure is hanging from the point at the top as shown. The central member is made of a material with Young's modulus E = 1 GPa and has cross-sectional area 1 cm². All members have mass M=1 kg. a) Explain why this structure is statically indeterminate. b) Assume the central member had length L=30.01 cm before being fit into the structure. What are the tensions in the three supporting members? 50 cm 30 cm

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

Part B Help please

In the truss structure shown below, all members except the central one are perfectly rigid. The structure is hanging from the point at the top as shown. The central member is made of a material with Young's modulus \(E = 1 \, \text{GPa}\) and has a cross-sectional area of \(1 \, \text{cm}^2\). All members have mass \(M = 1 \, \text{kg}\).

a) Explain why this structure is statically indeterminate.

b) Assume the central member had length \(L = 30.01 \, \text{cm}\) before being fit into the structure. What are the tensions in the three supporting members?

**Diagram Description:**

- The diagram depicts a triangular truss with a vertical central member. 
- The two sides of the triangle are each \(50 \, \text{cm}\) in length.
- The vertical central member is \(30 \, \text{cm}\) in length, extending from the apex to the base of the triangle.
Transcribed Image Text:In the truss structure shown below, all members except the central one are perfectly rigid. The structure is hanging from the point at the top as shown. The central member is made of a material with Young's modulus \(E = 1 \, \text{GPa}\) and has a cross-sectional area of \(1 \, \text{cm}^2\). All members have mass \(M = 1 \, \text{kg}\). a) Explain why this structure is statically indeterminate. b) Assume the central member had length \(L = 30.01 \, \text{cm}\) before being fit into the structure. What are the tensions in the three supporting members? **Diagram Description:** - The diagram depicts a triangular truss with a vertical central member. - The two sides of the triangle are each \(50 \, \text{cm}\) in length. - The vertical central member is \(30 \, \text{cm}\) in length, extending from the apex to the base of the triangle.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Slope and Deflection
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY