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

GivenE=1 GPa=109 Pam=1 kgA=1cm2=10-4 m2L=30cm=30×10-2 m∆L=0.01 cm=0.01×10-2 mAskedT=?FormulaG=TA∆LLSolutionG=T/A∆L/L109=T/10-410-4/30×10-2T=109×10-830×10-2T=0.033×103T=33.33 N

Answered: 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…

Elements Of Electromagnetics

7th Edition

ISBN: 9780190698614

Author: Sadiku, Matthew N. O.

Publisher: Oxford University Press

See similar textbooks

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and af…

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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution

See solution Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Similar questions

A thermoformed disc ending at a diameter of 2 cm and a thickness of 1 cm started from a disc with a diameter of 1 cm. What was the original thickness? 1 cm 2 cm 3 cm 4 cm O not enough info
C A B V P
(24) States usually have their own building codes and state codes often require local building codes to be at least as strict as the state code. Select one: A. TRUE B. FALSE

Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY