🗊Презентация Analysis of Statically Determinate Structures

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Analysis of Statically Determinate Structures, слайд №1Analysis of Statically Determinate Structures, слайд №2Analysis of Statically Determinate Structures, слайд №3Analysis of Statically Determinate Structures, слайд №4Analysis of Statically Determinate Structures, слайд №5Analysis of Statically Determinate Structures, слайд №6Analysis of Statically Determinate Structures, слайд №7Analysis of Statically Determinate Structures, слайд №8Analysis of Statically Determinate Structures, слайд №9Analysis of Statically Determinate Structures, слайд №10Analysis of Statically Determinate Structures, слайд №11Analysis of Statically Determinate Structures, слайд №12Analysis of Statically Determinate Structures, слайд №13Analysis of Statically Determinate Structures, слайд №14Analysis of Statically Determinate Structures, слайд №15Analysis of Statically Determinate Structures, слайд №16Analysis of Statically Determinate Structures, слайд №17Analysis of Statically Determinate Structures, слайд №18Analysis of Statically Determinate Structures, слайд №19Analysis of Statically Determinate Structures, слайд №20Analysis of Statically Determinate Structures, слайд №21Analysis of Statically Determinate Structures, слайд №22Analysis of Statically Determinate Structures, слайд №23Analysis of Statically Determinate Structures, слайд №24Analysis of Statically Determinate Structures, слайд №25Analysis of Statically Determinate Structures, слайд №26Analysis of Statically Determinate Structures, слайд №27Analysis of Statically Determinate Structures, слайд №28Analysis of Statically Determinate Structures, слайд №29Analysis of Statically Determinate Structures, слайд №30Analysis of Statically Determinate Structures, слайд №31Analysis of Statically Determinate Structures, слайд №32
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Слайд 1


Analysis of Statically Determinate Structures ECE479 Structural Analysis II Text Book Structural Analysis by R. C. Hibbeler
Описание слайда:
Analysis of Statically Determinate Structures ECE479 Structural Analysis II Text Book Structural Analysis by R. C. Hibbeler

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Lecture Outlines Idealized Structure Equations of Equilibrium Determinacy and Stability
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Lecture Outlines Idealized Structure Equations of Equilibrium Determinacy and Stability

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Intended Learning Outcomes By the end of today’s session student’s should be able to: Idealize a structure Determine Determinacy and Stability of structure
Описание слайда:
Intended Learning Outcomes By the end of today’s session student’s should be able to: Idealize a structure Determine Determinacy and Stability of structure

Слайд 4


Why Idealize Structure? Exact analysis --- Not possible Estimate Loading and its point of application Strength of the Materials
Описание слайда:
Why Idealize Structure? Exact analysis --- Not possible Estimate Loading and its point of application Strength of the Materials

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Support Connections Types --- Usually Three Pin supported connection Roller supported connection Fixed supported connection
Описание слайда:
Support Connections Types --- Usually Three Pin supported connection Roller supported connection Fixed supported connection

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Support Connections- Roller support Roller support - Deck of concrete bridge (One section considered roller supported on other section)
Описание слайда:
Support Connections- Roller support Roller support - Deck of concrete bridge (One section considered roller supported on other section)

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Support Connections- Roller support Roller support - Used to supports prestressed girders of a highway bridge.
Описание слайда:
Support Connections- Roller support Roller support - Used to supports prestressed girders of a highway bridge.

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Roller supported Concrete connection
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Roller supported Concrete connection

Слайд 9


Support Connections – Pin support Pin support - Steel girder Railway bridge
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Support Connections – Pin support Pin support - Steel girder Railway bridge

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Support Connections – Fixed support
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Support Connections – Fixed support

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Analysis of Statically Determinate Structures, слайд №11
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Слайд 12


Equations of Equilibrium For complete static equilibrium in 2D, three requirements must be met: 1. External Horizontal forces balance (translation). 2. External Vertical forces balance (translation). 3. External Moments balance about any point (rotational).
Описание слайда:
Equations of Equilibrium For complete static equilibrium in 2D, three requirements must be met: 1. External Horizontal forces balance (translation). 2. External Vertical forces balance (translation). 3. External Moments balance about any point (rotational).

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Equations of Equilibrium For two-dimensional system of forces and moments, the equilibrium equations are: 1. Fx = 0 2. Fy = 0 3. z = 0
Описание слайда:
Equations of Equilibrium For two-dimensional system of forces and moments, the equilibrium equations are: 1. Fx = 0 2. Fy = 0 3. z = 0

Слайд 14


Determinate vs Indeterminate Structure When all the forces in a structure can be determined from the equilibrium equations, the structure is referred to as statically determinate. When the unknown forces in a structure are more than the available equilibrium equations, that structure is known as statically indeterminate.
Описание слайда:
Determinate vs Indeterminate Structure When all the forces in a structure can be determined from the equilibrium equations, the structure is referred to as statically determinate. When the unknown forces in a structure are more than the available equilibrium equations, that structure is known as statically indeterminate.

Слайд 15


Determinacy For a coplanar structure, there are at most three equilibrium equations for each part. If there is a total of n parts and r force and moment reaction components, we have r = 3n statically determinate r > 3n statically indeterminate
Описание слайда:
Determinacy For a coplanar structure, there are at most three equilibrium equations for each part. If there is a total of n parts and r force and moment reaction components, we have r = 3n statically determinate r > 3n statically indeterminate

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Determinate vs Indeterminate Structure – Examples (Beams)
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Determinate vs Indeterminate Structure – Examples (Beams)

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Determinate vs Indeterminate Structure – Examples (Beams)
Описание слайда:
Determinate vs Indeterminate Structure – Examples (Beams)

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Determinate vs Indeterminate – Examples (Pin-connected structures)
Описание слайда:
Determinate vs Indeterminate – Examples (Pin-connected structures)

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Determinate vs Indeterminate – Examples (Pin-connected structures)
Описание слайда:
Determinate vs Indeterminate – Examples (Pin-connected structures)

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Determinate vs Indeterminate Structure – Examples (Frame)
Описание слайда:
Determinate vs Indeterminate Structure – Examples (Frame)

Слайд 21


Determinate vs Indeterminate Structure – Examples (Frame)
Описание слайда:
Determinate vs Indeterminate Structure – Examples (Frame)

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Determinate vs Indeterminate Structure – Examples (Frame)
Описание слайда:
Determinate vs Indeterminate Structure – Examples (Frame)

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Stability What conditions are necessary To ensure equilibrium of a structure? A structure will be unstable if there are fewer reactive forces than equations of equilibrium (Partial Constraints) or there are enough reactions and instability will occur if the lines of action of reactive forces intersect at a common point or are parallel to one another (Improper Constraints)
Описание слайда:
Stability What conditions are necessary To ensure equilibrium of a structure? A structure will be unstable if there are fewer reactive forces than equations of equilibrium (Partial Constraints) or there are enough reactions and instability will occur if the lines of action of reactive forces intersect at a common point or are parallel to one another (Improper Constraints)

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Stability – Example – Partial Constraints
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Stability – Example – Partial Constraints

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Stability – Example – Improper Constraints
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Stability – Example – Improper Constraints

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Stability – Example – Improper Constraints
Описание слайда:
Stability – Example – Improper Constraints

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Stability r < 3n unstable r ≥ 3n unstable if member reactions are concurrent or parallel or some of the components form a collapsible mechanism r --- Unknown reactions n--- Members Unstable structures Must be avoided in practice
Описание слайда:
Stability r < 3n unstable r ≥ 3n unstable if member reactions are concurrent or parallel or some of the components form a collapsible mechanism r --- Unknown reactions n--- Members Unstable structures Must be avoided in practice

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Stability – Examples
Описание слайда:
Stability – Examples

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Stability r < 3n unstable r ≥ 3n unstable if member reactions are concurrent or parallel or some of the components form a collapsible mechanism r --- Unknown reactions n--- Members
Описание слайда:
Stability r < 3n unstable r ≥ 3n unstable if member reactions are concurrent or parallel or some of the components form a collapsible mechanism r --- Unknown reactions n--- Members

Слайд 30


Summary Now You should be able to: Idealize a structure Determine Determinacy and Stability of structure
Описание слайда:
Summary Now You should be able to: Idealize a structure Determine Determinacy and Stability of structure

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Assignment 1 Issue Date 16-1-2017 Submission Date 23-1-2017 Classify each of the structures as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy
Описание слайда:
Assignment 1 Issue Date 16-1-2017 Submission Date 23-1-2017 Classify each of the structures as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy

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Assignment 1 Issue Date 23-1-2017 Submission Date 30-1-2017 Classify each of the structures as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy
Описание слайда:
Assignment 1 Issue Date 23-1-2017 Submission Date 30-1-2017 Classify each of the structures as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy

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