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WorksheetsApproximate Analysis for Statically Indeterminate Structures
Total questions: 10
Worksheet time: 5mins
What is the purpose of creating a simpler, statically determinate model during the design process?
To eliminate the need for further analysis
To ensure the structure is stable
To estimate member sizes for a more precise analysis
To analyze the structure's load behavior
Which method assumes that long, slender diagonals cannot resist compression?
Portal Method
Cantilever Method
Equal Diagonal Forces
Diagonal Tension Only
What is a common assumption made for building frames with rigid connections?
The columns are not connected to the girders
There is a moment in the girder
The girder supports an axial force
There is zero moment in the girder, 0.1L from the left support
What is the role of portal frames in structures?
To provide lateral support only
To transfer horizontal forces to the foundation
To eliminate the need for columns
To increase the weight of the structure
In fixed-supported structures, where do points of zero moment typically occur?
At the center of each girder
At the top of the frame
At the midpoint of all three members
At the base of each column
What assumption is made in the cantilever method for fixed-supported frames?
A hinge is placed at the top of each column
The axial stress in a column is proportional to its distance from the centroid
The shear at the exterior column hinges is greater than at the interior hinges
There is no moment in the girder
What is the primary function of trusses in portal frames?
To replace the vertical columns
To provide lateral stability only
To reduce the overall weight of the structure
To support heavy loads and span significant distances
Which method assumes that each diagonal carries half the panel shear?
Cantilever Method
Equal Diagonal Forces
Static Equilibrium Method
Diagonal Tension Only
What is a key characteristic of pin-supported structures?
They allow both rotation and translation
They prevent any movement at the supports
They allow rotation but prevent translation
They are always statically determinate
In the context of lateral loads on building frames, what does the portal method assume?
The frame is not considered a superposition of portals
The shear at the interior column hinges is less than at the exterior hinges
A hinge is placed at the center of each girder
The columns are fixed at the base
