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CE 311 Determancy

This document discusses the determinacy of structures. It explains that structures must be in static equilibrium to determine their determinacy and stability. The number of equilibrium equations must equal or exceed the number of unknown forces in a structure for it to be statically determinate. Structures with more unknown forces than equations are statically indeterminate. Determinacy can be assessed using free body diagrams and criteria for beams, trusses, and other structures are presented.

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Andre Boco
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135 views11 pages

CE 311 Determancy

This document discusses the determinacy of structures. It explains that structures must be in static equilibrium to determine their determinacy and stability. The number of equilibrium equations must equal or exceed the number of unknown forces in a structure for it to be statically determinate. Structures with more unknown forces than equations are statically indeterminate. Determinacy can be assessed using free body diagrams and criteria for beams, trusses, and other structures are presented.

Uploaded by

Andre Boco
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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CE 311 STRUCTURAL THEORY

DETERMINACY OF STRUCTURES

Actual and Idealized structure

Free Body Diagram


EQUATION OF EQUILIBRIUM

CONDITION OF DETERMINANCY FOR BEAMS

1. To state of static equilibrium, it is necessary to establish the


DETERMINACY and STABILITY
2. Equilibrium equation provide sufficient conditions for equilibrium. All
forces can be determined strictly from these equation
3. Structure is referred as STATICALLY DETERMINATE
4. However, structure having more unknown forces than available
equilibrium equation referred as STATICALLY INDETERMINATE
5. This can be determined using a free body diagram
COMPOUND TRUSSES
COMPLEX TRUSS

DETERMINACY OF BEAMS
DETERMINACY OF TRUSSES
DETERMINACY CRITERIA FOR STRUCTURES

REDUNDANCY
PREPARED BY:
RFT • References
– Mechanics of Materials, R.C. Hibbeler, 7th Edition, Prentice Hall
– Structural Analysis, Hibbeler, 7th Edition, Prentice Hall
– Structural Analysis, SI Edition by Aslam Kassimali,Cengage Learning
– Structural Analysis, Coates, Coatie and Kong
– Structural Analysis - A Classical and Matrix Approach, Jack C. McCormac
and James K. Nelson, Jr., 4th Edition, John Wiley

• References
– Mechanics of Materials, R.C. Hibbeler, 7th Edition, Prentice Hall
– Structural Analysis, Hibbeler, 7th Edition, Prentice Hall
– Structural Analysis, SI Edition by Aslam Kassimali,Cengage Learning
– Structural Analysis, Coates, Coatie and Kong
– Structural Analysis - A Classical and Matrix Approach, Jack C. McCormac
and James K. Nelson, Jr., 4th Edition, John Wiley

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