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What is the classification of the structure shown below? Hinge a. Internally unstable, statically indeterminate b. Internally unstable, statically determinate c. Internally stable, statically indeterminate d. Internally stable, statically determinate

What is the classification of the structure shown below? Hinge a. Internally unstable, statically indeterminate b. Internally unstable, statically determinate c. Internally stable, statically indeterminate d. Internally stable, statically determinate

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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What is the classification of the structure shown below?

 

a. Internally unstable, statically indeterminate  
  b. Internally unstable, statically determinate  
  c. Internally stable, statically indeterminate  
  d. Internally stable, statically determinate
### Classification of Structural Elements #### Question: **What is the classification of the structure shown below?** (The structure consists of a symmetric arch with a hinge at its crown and supported at both ends.) #### Diagram: - **Description**: - The diagram illustrates a parabolic arch. - The arch contains a hinge at its top (crown). - Both ends of the arch are firmly supported on the ground, indicating potential fixed or pinned supports. #### Options: a. Internally unstable, statically indeterminate b. Internally unstable, statically determinate c. Internally stable, statically indeterminate d. Internally stable, statically determinate #### Explanation: To classify the structure accurately, consider the following aspects: - **Internal Stability**: This indicates whether the structure can maintain its shape without collapsing under load. - **Static Determinacy**: This refers to whether the internal forces (i.e., moments, shear, and axial forces) and support reactions in the structure can be determined purely by equilibrium equations (statically determinate) or require additional compatibility equations (statically indeterminate). This type of structure, known as a three-hinged arch, is typically: - **Internally Stable**: The structure does not change its shape under load. - **Statically Determinate**: All internal forces and reactions can be determined using only the equations of equilibrium (sum of forces and moments). Therefore, the correct classification of the structure is: d. Internally stable, statically determinate
Transcribed Image Text:### Classification of Structural Elements #### Question: **What is the classification of the structure shown below?** (The structure consists of a symmetric arch with a hinge at its crown and supported at both ends.) #### Diagram: - **Description**: - The diagram illustrates a parabolic arch. - The arch contains a hinge at its top (crown). - Both ends of the arch are firmly supported on the ground, indicating potential fixed or pinned supports. #### Options: a. Internally unstable, statically indeterminate b. Internally unstable, statically determinate c. Internally stable, statically indeterminate d. Internally stable, statically determinate #### Explanation: To classify the structure accurately, consider the following aspects: - **Internal Stability**: This indicates whether the structure can maintain its shape without collapsing under load. - **Static Determinacy**: This refers to whether the internal forces (i.e., moments, shear, and axial forces) and support reactions in the structure can be determined purely by equilibrium equations (statically determinate) or require additional compatibility equations (statically indeterminate). This type of structure, known as a three-hinged arch, is typically: - **Internally Stable**: The structure does not change its shape under load. - **Statically Determinate**: All internal forces and reactions can be determined using only the equations of equilibrium (sum of forces and moments). Therefore, the correct classification of the structure is: d. Internally stable, statically determinate
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