Swing Design Concepts and Considerations

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Questions and Answers

What are the two load combinations mentioned for the swing design?

  • Wind loadings and vertical loadings
  • Only vertical loadings and swing in extreme deflection (correct)
  • Horizontal slanting and vertical loadings
  • Static loadings and dynamic loadings

In the design phase, what should be specially considered for connections between members?

  • Transfer of forces between members (correct)
  • Travel distance of the swing
  • Aesthetic appearance
  • Material weight

Which of the following is NOT listed as a possible failure mechanism for the swing?

  • Structural fatigue (correct)
  • Upper member fails
  • Failure of the seat
  • Failure of the rope

What should be taken into account while reviewing each element in the swing design?

<p>Calculated forces and deflections (D)</p> Signup and view all the answers

Which failure mechanism involves the seat position during operation?

<p>Horizontal slanting (C)</p> Signup and view all the answers

Which type of Greek pillar is characterized by a simple and sturdy design?

<p>Doric (A)</p> Signup and view all the answers

What construction feature was used to prevent the horizontal sliding of the marble discs in Greek pillars?

<p>Wooden thorns (D)</p> Signup and view all the answers

Which Roman pillar style is not derived from Greek architecture?

<p>Tuscan (C)</p> Signup and view all the answers

Which pillar type features elaborate decoration with flowers and leaves at its capital?

<p>Corinthian (B)</p> Signup and view all the answers

What material were the Greek pillars primarily made of?

<p>Marble (A)</p> Signup and view all the answers

What inspired the design of Egyptian pillars during the New Age?

<p>Bound papyrus stems (B)</p> Signup and view all the answers

What was the primary purpose of painting Egyptian pillars?

<p>To represent nature (D)</p> Signup and view all the answers

Which pillar style includes elements from both Greek and Roman architecture?

<p>Composite (A)</p> Signup and view all the answers

Which design alternative is associated with requiring additional coating to prevent corrosion?

<p>Steel beams with dowel or welded connections (A)</p> Signup and view all the answers

What is the main concern regarding the timber frame design alternative?

<p>Durability and maintenance (B)</p> Signup and view all the answers

What does the dynamic enlargement factor account for when designing the swing?

<p>Dynamic loads and inertia effects (C)</p> Signup and view all the answers

In the preliminary design phase, which structural aspect is NOT determined?

<p>Cost estimates of materials (A)</p> Signup and view all the answers

What is a significant consideration when determining loads for the swing?

<p>Considering adult usage (D)</p> Signup and view all the answers

Which design alternative is noted for being impractical?

<p>Hung from a helium balloon (D)</p> Signup and view all the answers

What type of loading should be considered when the swing is in motion?

<p>Bending and horizontal forces (A)</p> Signup and view all the answers

Which of the following statements regarding the timber and steel console is true?

<p>Safety can still be an issue when fixed away from a corner. (A)</p> Signup and view all the answers

What must the relationship between the characteristic load, load factor, and design load satisfy for a structure to be considered sufficiently safe?

<p>$S_k imes eta_s imes rac{R_k}{eta_M} ext{ should be } S_d$ (A)</p> Signup and view all the answers

How is the design strength $R_d$ calculated?

<p>By dividing the characteristic strength $R_k$ by the partial safety factor $γ_M$ (B)</p> Signup and view all the answers

What does the strength function R represent in the design model?

<p>The theoretical basis of resistance of the material (A)</p> Signup and view all the answers

In the equation $R = A imes f_y$, what does A signify?

<p>The cross-sectional area of the steel bar (A)</p> Signup and view all the answers

What is a notable characteristic of tensile structures?

<p>They utilize cables for load-bearing. (C)</p> Signup and view all the answers

Why is the strength model reviewed and possibly modified?

<p>To ensure it aligns with theoretical and experimental results (D)</p> Signup and view all the answers

Which factor influences the flexibility of a tensile structure?

<p>Self-weight of the structure (C)</p> Signup and view all the answers

What percentage of cases will the real values of the strength exceed the characteristic strength?

<p>95% (C)</p> Signup and view all the answers

Which statement accurately describes the load $S_d$?

<p>It is determined by multiplying the characteristic load by the load factor. (C)</p> Signup and view all the answers

In the context of beams, what does the term 'force distribution' refer to?

<p>The allocation of loads along a beam's length (B)</p> Signup and view all the answers

How does the cross-sectional shape of a beam influence its performance?

<p>It affects the beam's resistance to bending. (C)</p> Signup and view all the answers

What variable influences the characteristic values of both loads and strengths within the provided content?

<p>Codes of practice (A)</p> Signup and view all the answers

What role do supports play in beam structures?

<p>They distribute the load evenly across the beam. (A)</p> Signup and view all the answers

Which of the following is a type of special beam mentioned?

<p>Vierendeel-truss (D)</p> Signup and view all the answers

What influences the effectiveness of guy cables in supporting structures?

<p>The angle at which they are mounted (B)</p> Signup and view all the answers

What is a characteristic design feature of cable-supported beams?

<p>They depend on tension to maintain their structural integrity. (A)</p> Signup and view all the answers

What is the relationship between the line of thrust and the longitudinal axis in gothic cathedrals?

<p>The line of thrust equals the longitudinal axis (A)</p> Signup and view all the answers

How are the forces from the ribbed vaults directed?

<p>Outward, decomposed into vertical and oblique forces (C)</p> Signup and view all the answers

What role do flying buttresses play in relation to the ribbed vaults?

<p>They take on oblique forces directed outward (A)</p> Signup and view all the answers

What does the mass on the pinnacle of the buttress contribute to?

<p>Causing the oblique force to act downward within the section (A)</p> Signup and view all the answers

What additional forces must the buttress withstand besides vertical loads?

<p>Shear and overturning forces (B)</p> Signup and view all the answers

Which force is described as being taken by the column in gothic cathedrals?

<p>Force B, vertical force (B)</p> Signup and view all the answers

What consequence arises if the line of action of force C and the combined mass of D and E do not stay within the section of the buttress?

<p>Development of tensile forces inside the buttress (C)</p> Signup and view all the answers

Which statement about the forces affecting buttresses is true?

<p>Shear and overturning forces must also be considered (D)</p> Signup and view all the answers

Flashcards

Tensile Structures

Structures that support loads primarily through tension.

Cable Systems

Systems using cables to support and stabilize a structure.

Force Diversion

The redirection of forces in structure to achieve stability.

Flexibility in Structures

The ability of a structure to deform without failing.

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Guy Cables

Cables used to stabilize structures by anchoring them.

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Beams

Horizontal structures that support loads typically across space.

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Force Distribution

The manner in which forces are spread through a structure.

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Special Beams

Unique beam designs like Vierendeel-trusses that serve specific functions.

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Probability Density Function (PDF)

A function that describes the likelihood of a random variable taking specific values.

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Solicitation of Stress (S)

The applied load or stress on a structure being evaluated.

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Capacity of Resistance (R)

The maximum stress a structure can withstand without failure.

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Design Load (Sd)

The load used in design calculations, factoring in safety and uncertainties.

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Characteristic Load (Sk)

The load value that is not exceeded in 95% of cases during assessment.

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Design Strength (Rd)

The adjusted strength of a structure used to ensure safety under loads.

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Strength Function (R)

A theoretical model representing the strength capabilities based on design parameters.

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Yield Stress (fy)

The stress at which a material begins to deform plastically and cannot return to its original shape.

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Timber Frame

A structure made using timber as the main material, often requiring maintenance.

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Steel Beams

Robust structural components that can be prefabricated, needing anti-corrosion coating.

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Dynamic Load

Load that varies over time, such as when someone jumps onto a swing.

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Bending Load

A load applied horizontally when the swing is in motion.

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Inertia Effects

The impact of a mass's resistance to motion when loads are dynamic.

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Dynamic Enlargement Factor

A multiplier used to account for increased loads during dynamic conditions, often set to 2.

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Braced Frame

A structural system providing stability through diagonally placed elements.

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Cross Sections

The shape of a structural element when viewed in a crosswise direction.

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Load Combinations

Different ways loads are applied to a structure, such as vertical only or in extreme deflection.

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Design of Elements

The process of determining the dimensions of individual structure members to ensure strength against calculated loads.

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Connection Evaluation

Assessment of how forces are transferred between structure members, ensuring stability during load.

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Failure Mechanisms

Possible ways a structure can fail, such as seat or rope failure, and horizontal slanting.

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Extreme Deflection

A condition where a structure experiences significant bending or displacement under load.

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Doric Pillar

The simplest and oldest Greek architectural style, characterized by a sturdy, fluted column with a plain top.

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Ionic Pillar

A tall, slender Greek column designed with scroll-like decorations at the top.

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Corinthian Pillar

The most ornate Greek column style, decorated with elaborate acanthus leaves.

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Tuscan Pillar

A Roman architectural style based on the Doric column but simpler and unfluted.

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Composite Pillar

A Roman architectural column combining elements of the Ionic and Corinthian styles.

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Egyptian Pillars

Columns inspired by bound papyrus stems, sturdy and often colorful.

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Palm-Capital

A type of capital featuring palm leaves, commonly used in Egyptian columns.

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Composite-Capital

A decorative capital that unfolds into flowers and leaves at the top of a column.

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Line of Thrust

The path through which forces are directed in a structure.

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Ribbed Vaults

Arch structures that support ceilings, characteristic of gothic cathedrals.

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Vertical Force

A force that acts straight down, supported by columns in structures.

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Oblique Force

A force that acts at an angle, often directed outward from a structure.

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Flying Buttress

An external support structure that counteracts lateral forces in gothic architecture.

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Pinnacle Mass

The weight located on top of a buttress that helps stabilize the structure.

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Shear Forces

Forces that cause parts of a structure to slide past each other.

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Overturning Forces

Forces that tend to rotate a structure around its base, potentially causing failure.

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Study Notes

Preface

  • The course Structural Design I is the first in a series of courses on designing structures.
  • The course is integrated with Applied Mechanics.
  • The course provides a fundamental understanding of structural analysis, application of materials, and the principles of design.
  • The goal of the course is to develop insight into force distribution, design, and composition of simple structures.
  • The course also introduces the structural design process.

Definition of a Structure

  • A structure is a physical system meant to direct loads from one place to another.
  • In buildings, this involves safely distributing loads (from people, furniture, wind, etc.) to foundations and then to the subsurface.

History of Construction

  • Early structures were pressure-based (walls loaded in-plane) using materials like timber, stones, and bricks.
  • The oldest surviving structures include Dolmens and Stonehenge.
  • The Egyptians used predominantly stone due to its availability and constructed simple structures like load-bearing walls and flat roofs.
  • Ancient Greece saw advancements with vaults and arches, to provide large spans.
  • The Romans further developed these techniques using concrete and arches, enabling larger structures.
  • The Gothic style (13th century) was innovative in using flying buttresses to withstand horizontal forces.
  • The arrival of new materials like iron and steel in the 18th and 19th centuries led to new structural forms and greater spans.
  • The mid-19th century saw the development of reinforced concrete which improved performance, allowing for larger spans.

Structural Systems

  • Structures are classified based on how they carry loads:
    • Compression systems (columns, walls, arches, and shells).
    • Tension systems (cables, and tension systems).
    • Bending systems (beams, and floors).
    • Portal frames (combination of vertical and horizontal elements).

Structural Materials

  • Natural: Timber, and stone.
    • Characteristics well-known to craftsmen.
    • Quality can vary.
  • 人工製品 (Artificial): Steel, aluminium alloys, and concrete.
    • Produced using controlled factory processes.
    • Consisten quality.
  • New materials: Fiber-reinforced composites.
    • Still developing, quality varies greatly depending on research.

Structural Safety

  • Structural design ensures loads acting on the structure are less than the structure's resistance.
  • Loads include: permanent loads (e.g., self-weight), variable loads (e.g., live loads, wind), and accidental loads (e.g., earthquakes, explosions).
  • Safety is evaluated by using load factors and material factors.

The Design Process

  • The design process starts by understanding the client's needs and their requirements (design brief and program of requirements).
  • Design involves researching appropriate locations, investigating and comparing different options for materials, methods, and structural shapes.
  • The final design phase refines the design, which includes considerations for structural calculations and design details. (This is often done via a computer supported design process).

Loads

  • Permanent: Loads like self-weight, dead loads and pre-stress.
  • Variable: Live loads like people, furniture, wind, and snow.
  • Accidental: Occur infrequently, high-impact events, like for instance explosions and earthquakes.

Codes of practice

  • Eurocodes cover all aspects of calculating loads and resistance of structures.
  • Eurocode 1 (EN 1991) gives details on load calculations.

Types of Structures:

  • Columns
  • Walls
  • Arches
  • Beams
  • Floors
  • Portal frames
  • Trusses
  • Guyed structures
  • Tensile structures

Columns (additional details)

  • Columns transfer vertical loads down to the base.
  • Stocky and slender columns differ by their cross-sectional area relative to their height.
  • Buckling is important to consider when designing slender columns using an equation determined by Leonard Euler.
  • Stocky columns are more resistant to buckling.

Column-Floor Connection

  • A concrete floor supported by columns involves significant shear stresses at the connection (punching shear).
  • Details in the column-floor connection, such as head plates or mushroom slabs, enhance the connection's stiffness.

Column-Beam Connection

  • Timber and steel column-beam connections must be designed taking into account the tensile and compressive strengths of the different material and connections.
  • Steel column-beam connections use end plates (or welding) for stress distribution around the joint.

Stability of Blocks and Towers

  • Stability of structures depends on the position of the center of gravity and the base(larger base = more stable.)
  • Horizontal forces increase instability risk.
  • Preventing toppling requires proper positioning and size of the base.

Global Dimensions

  • Rules of thumb relate global dimensions of structural elements to their span.
  • Using these rules provides rough estimations early during design.

Questions Chapter 1

  • (Referencing the questions in chapter 1, provide detailed answers).

Questions Chapter 2

  • (Referencing the questions in chapter 2, provide detailed answers).

Questions Chapter 3-8

  • (Referencing the questions in each chapter, provide detailed answers).

Appendix A

  • Rules of thumb for global dimensions (concrete, steel, timber) for various structural elements.

Appendix B

  • Extensive bibliography of books and journal articles on structural mechanics and design.

Appendix C

  • Glossary of technical terms used in the textbook (architectural and engineering).

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