Podcast
Questions and Answers
Which of the following best describes the primary force that cable structures are designed to handle?
Which of the following best describes the primary force that cable structures are designed to handle?
- Compression
- Shear
- Bending
- Tension (correct)
Cables maintain their shape and structural integrity primarily through their inherent bending rigidity.
Cables maintain their shape and structural integrity primarily through their inherent bending rigidity.
False (B)
What is the term for the shape or configuration that a cable assumes under a specific loading condition?
What is the term for the shape or configuration that a cable assumes under a specific loading condition?
- Funicular shape (correct)
- Compression arc
- Tensile form
- Shear diagram
Cables can only develop __________ along their own axis.
Cables can only develop __________ along their own axis.
What is a common material used in cable structures due to its high tensile strength?
What is a common material used in cable structures due to its high tensile strength?
The funicular shape of a structure remains constant regardless of changes in loading.
The funicular shape of a structure remains constant regardless of changes in loading.
In a suspension bridge, which structural element directly supports the roadway?
In a suspension bridge, which structural element directly supports the roadway?
What is the primary function of anchorages in a cable suspension bridge?
What is the primary function of anchorages in a cable suspension bridge?
Name three examples of structures that commonly utilize cable or tension structures.
Name three examples of structures that commonly utilize cable or tension structures.
If a cable is uniformly loaded along its length (e.g., self-weight), what shape does it naturally assume?
If a cable is uniformly loaded along its length (e.g., self-weight), what shape does it naturally assume?
Cables are effective at resisting bending moments due to their high rigidity.
Cables are effective at resisting bending moments due to their high rigidity.
Which of the following is a key advantage of using high-strength steel in cable structures?
Which of the following is a key advantage of using high-strength steel in cable structures?
The shape assumed by a flexible cable under an applied loading is called the ________ shape for that loading.
The shape assumed by a flexible cable under an applied loading is called the ________ shape for that loading.
What happens to the internal forces in a funicular structure as its structural depth decreases?
What happens to the internal forces in a funicular structure as its structural depth decreases?
Vertical towers in a suspension bridge primarily resist horizontal forces.
Vertical towers in a suspension bridge primarily resist horizontal forces.
In the context of cable structures, what does 'ksi' refer to?
In the context of cable structures, what does 'ksi' refer to?
Explain why it is important to resist horizontal loads in cable structures.
Explain why it is important to resist horizontal loads in cable structures.
Which of the following scenarios would require adjustments to the funicular shape of a cable structure?
Which of the following scenarios would require adjustments to the funicular shape of a cable structure?
Cables are equally efficient at resisting compressive forces as they are at resisting tensile forces.
Cables are equally efficient at resisting compressive forces as they are at resisting tensile forces.
Match the following structural elements with their primary function in a cable suspension bridge:
Match the following structural elements with their primary function in a cable suspension bridge:
Flashcards
Tension Structures
Tension Structures
Structures that primarily carry external loads in tension, like suspension bridges.
Cable/Suspension/Funicular Structures
Cable/Suspension/Funicular Structures
Very efficient structures that carry external loads mainly in tension.
Most Common Cable Material
Most Common Cable Material
These are steel cables with a tensile strength greater than 200 ksi.
Cable Bending Rigidity
Cable Bending Rigidity
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Cable Response to Loads
Cable Response to Loads
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Vertical Elements in Cable Structures
Vertical Elements in Cable Structures
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Cables
Cables
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Anchorages
Anchorages
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Shape changes with load
Shape changes with load
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Cable Forces
Cable Forces
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Study Notes
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Reactions are found at the base of a tree, ignoring its weight.
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Richard weighs 130 lb, Amelia weighs 110 lb, and each bird weighs 2 lbs.
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Sum of the reaction forces in "x" is 0.
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Sum of the reaction forces in "y" is 244 lbs.
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"M" is -8632 lb-in, which equals 0.72 k-ft.
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The car is to be considered as a 2D object that won't flop over.
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The truss should be considered as a rigid body
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Reading materials include Book 1 (pages 96-109) and Book 2 (Chapter 15).
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Project 1 is coming up soon.
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Cable/tension structures are shown with examples.
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Examples include Circus tents, Temporary Events, Golden Gate Suspension Bridge, and San Francisco Airport.
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The Moses Mabhida Stadium is a football stadium in Durban, South Africa.
Cable/Suspension/Funicular Structures
- These are efficient at carrying external loads primarily in tension.
- Examples include suspension bridges, roof structures, and transmission lines.
- High strength steel cables with strength higher than 200 ksi in tension are most commonly used.
- Cables have minimum bending rigidity and are easily bent.
- Cables respond to changing loads by changing its shape or configuration (a funicular shape).
- Cables can only develop tension along their own axis
Principal Elements
- Vertical Elements: Vertical tower, keeps system above ground
- Cables: Main load carrying member, can only resist tension
- Cables can be conceived as a series of discrete elements connected by hinges
- Anchorages: Vertical and Horizontal load carrying elements.
True or False
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The funicular shape of a structure changes with the load applied: True
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Wind loads are constant and uniform: False
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For a particular loading, span and sag, there is only one funicular configuration that can balance it.
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Problem 2 involves determining support reactions, cable tensions, and elevations of point C for a given load configuration with a sag of 2'-0" at point B.
Reactions
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Complete structure FBD: Sum of moments = 0 = -Ay * 18 + 5 * 12 + 3 * 6; Ay = 4.33 k
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FBD Segment AB: Sum of moments = 0 = Ax * 2 – Ay *6 = Ax * 2 – 4.33 *6 = Solving for Ax = 13 k = Dx
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At joint D, alpha = tan-1 (3.77/13) = 16.17 degrees; Tension Sdc = 13.53 k
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Cables can only have tension along their axis, the direction of the resultant force is the cable itself.
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At joint C, Scd=Sdc = 13.53 k
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Tan (x2) = (2-1.74)/6 = 0.043; a2 tan -1 (0.043) = 2.48 degrees; tension Scb = 13.02 k
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Problem 3 repeats problem 2 with a sag h of 5'-0" at point B.
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