Structural Mechanics Lecture 2

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

What occurs when two opposing forces are not offset and push into each other at the same point?

  • Bending moment
  • Shear stress
  • Tensile stress
  • Compressive stress (correct)

Which type of failure occurs when two parts of a structural member are pushed in different directions?

  • Tension failure
  • Compression failure
  • Shear failure (correct)
  • Bending failure

What defines the relationship between stress and strain up to the yield point in a material?

  • Shear force
  • Modulus of Elasticity (correct)
  • Residual deformation
  • Compressive strength

When an element is unloaded after reaching the yield point, what is observed?

<p>Residual deformation (D)</p> Signup and view all the answers

What is the formula for calculating stress in an element?

<p>Internal force divided by cross-sectional area (B)</p> Signup and view all the answers

How are internal forces represented within a structure?

<p>Axial, shear, and bending moment diagrams (D)</p> Signup and view all the answers

What is indicated when the stress reaches the maximum value in a structural element?

<p>Maximum strength of the element is reached (B)</p> Signup and view all the answers

What characterizes the deformation of an element due to normal stress?

<p>Deformation is measured as the integral of elongation over length (A)</p> Signup and view all the answers

What is the moment of a force about a point defined as?

<p>The force times the distance from the line of action to the point (A)</p> Signup and view all the answers

Under what condition can equilibrium of moments be achieved?

<p>When the sum of the moments at a point is zero (D)</p> Signup and view all the answers

Which best describes co-planar forces?

<p>Forces that act in the same plane (A)</p> Signup and view all the answers

What happens to rotation if all forces are co-planar and concurrent?

<p>Rotation cannot occur (B)</p> Signup and view all the answers

How can different forces be combined graphically?

<p>By vector addition (B)</p> Signup and view all the answers

What type of forces are characterized as acting perpendicular to the cross section of an element?

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

What is the typical sign convention for compression in elements?

<p>-ve sign (B)</p> Signup and view all the answers

What do shear forces act along?

<p>The surface or tangent to the surface (C)</p> Signup and view all the answers

Which of the following best describes structural serviceability?

<p>Limiting deflection and excessive vibration under normal loading (D)</p> Signup and view all the answers

What is the relationship between weight, mass, and acceleration due to gravity?

<p>Weight = Mass x Acceleration (D)</p> Signup and view all the answers

Which of the following factors does NOT typically shape an engineer's choice of design and materials?

<p>Building social networks (B)</p> Signup and view all the answers

What is meant by 'statics' in the context of structural engineering?

<p>The study of bodies at rest and not in motion (A)</p> Signup and view all the answers

Which of the following is an important consideration when analyzing structures under loads?

<p>Understanding the loads acting on a structure (D)</p> Signup and view all the answers

Which of these is NOT one of the basic definitions related to forces in engineering?

<p>Weight as the push against an object (B)</p> Signup and view all the answers

In structural analysis, the correct process following the understanding of loads involves?

<p>Interpreting the analysis results and choosing materials (C)</p> Signup and view all the answers

What is typically used to represent the direction of a force?

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

What is considered a permanent load that a structure needs to resist?

<p>Weight of the structure (C)</p> Signup and view all the answers

Which of the following best describes a structure?

<p>An assortment of elements that transfer loads (B)</p> Signup and view all the answers

Which of the following is an example of a dynamic load?

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

What is the purpose of drawing a Free Body Diagram?

<p>To visualize the forces acting on a structure (D)</p> Signup and view all the answers

What factor differentiates live loads from static loads?

<p>Static loads do not vary with time (C)</p> Signup and view all the answers

Which of the following is NOT typically an environmental action load?

<p>Weight of building materials (A)</p> Signup and view all the answers

When engineers design structures, what is a key performance objective they must consider?

<p>Functionality for specific use (A)</p> Signup and view all the answers

What type of force is a bending moment associated with?

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

What must be true for a body to be in static equilibrium?

<p>The sum of all applied forces must equal zero. (D)</p> Signup and view all the answers

In a 2-dimensional system, which equations represent the conditions for equilibrium?

<p>ΣFx = 0, ΣFy = 0, ΣMz = 0 (C)</p> Signup and view all the answers

What does the equation F = m∙a signify in the context of forces?

<p>Force depends on the product of mass and acceleration. (C)</p> Signup and view all the answers

Which statement correctly defines a moment in this context?

<p>A moment is measured at a point and is related to the force applied and its distance from that point. (D)</p> Signup and view all the answers

Which of the following best describes a statically determinate structure?

<p>It can be analyzed using equations of equilibrium alone. (D)</p> Signup and view all the answers

What effect does self-weight have on a structure in static equilibrium?

<p>It contributes to the overall forces that must be balanced. (C)</p> Signup and view all the answers

What happens to the sum of moments around a centroid in a body at rest?

<p>The sum of moments must be zero. (C)</p> Signup and view all the answers

Which of the following represents a force causing displacement along the x direction?

<p>A lateral wind load pushing against the structure. (D)</p> Signup and view all the answers

Flashcards

What is a structure?

A structure is a collection of interconnected elements designed to transfer loads between points.

What is a permanent load?

Permanent loads are always present on a structure, like its own weight.

What is a live load?

Live loads are temporary loads that are not always present, like people, vehicles, or wind.

What are extreme loads?

Extreme loads are rare forces that cause significant stress on a structure, like earthquakes or tsunamis.

Signup and view all the flashcards

What is a static load?

Static loads are constant forces that don't change over time, like the weight of a building.

Signup and view all the flashcards

What is a dynamic load?

Dynamic loads are forces that change over time, like wind gusts or earthquake shaking.

Signup and view all the flashcards

What are performance objectives for structures?

Structural engineers must design structures to perform their intended function while meeting safety requirements.

Signup and view all the flashcards

What are the performance objectives for structures?

Structures should meet at least two performance objectives: functionality and safety. They must be effective and safe to use.

Signup and view all the flashcards

Structural Safety

The ability of a structure to withstand extreme loads without collapsing, ensuring stability and sufficient strength.

Signup and view all the flashcards

Structural Serviceability

The ability of a structure to function under normal use, minimizing excessive deflection and vibration.

Signup and view all the flashcards

Force

A vector quantity representing both magnitude (size) and direction. It is measured in Newtons (N), where 1 N = 1 kg.m/s2.

Signup and view all the flashcards

Mass

The amount of matter in an object. It is measured in kilograms (kg).

Signup and view all the flashcards

Weight

The force of gravity acting on an object's mass. It is calculated by multiplying mass and acceleration due to gravity (g = 9.81 m/s2).

Signup and view all the flashcards

Statics

The study of objects at rest, not in motion. It involves understanding the forces acting on a stationary body.

Signup and view all the flashcards

Structural Element

A component of a structure, defined by its length, cross-section shape, and area. It can be of various shapes and sizes.

Signup and view all the flashcards

Cross-Section Area

The area of a structural element's cross-section. It is important for determining the strength and load-carrying capacity of the element.

Signup and view all the flashcards

Moment of a force

The tendency of a force to cause rotation around a point.

Signup and view all the flashcards

Equilibrium of Moments

The state where the sum of all moments acting on an object equals zero.

Signup and view all the flashcards

Co-planar forces

Forces that act in the same plane.

Signup and view all the flashcards

Concurrent forces

Forces acting through the same point cannot cause rotation.

Signup and view all the flashcards

Non-concurrent forces

Forces that do not act through the same point can cause rotation.

Signup and view all the flashcards

External forces

Forces that act on the boundary of a structure, including applied forces and support reactions.

Signup and view all the flashcards

Normal force

A force acting perpendicular to the cross-section of a structural element.

Signup and view all the flashcards

Shear force

A force acting parallel to the surface of a structural element.

Signup and view all the flashcards

Static Equilibrium

A body at rest where the sum of all forces acting on it equals zero. This means the body is not moving or accelerating.

Signup and view all the flashcards

Moment

A force that tends to cause rotation around a point.

Signup and view all the flashcards

Axial Force

A force that acts along the axis of a structural element, either pulling it apart or pushing it together.

Signup and view all the flashcards

Moment Arm

The distance from the point of rotation to the point where the force is applied.

Signup and view all the flashcards

Statically Determinate Structure

A structure where all internal forces can be determined using equations of equilibrium alone.

Signup and view all the flashcards

Bending Moment

A force that acts on a structural element, causing it to bend or deform.

Signup and view all the flashcards

Stress

The force per unit area acting on a structural element, caused by internal forces.

Signup and view all the flashcards

Strain

The change in length or shape of a material due to applied stress.

Signup and view all the flashcards

Modulus of Elasticity

The slope of the stress-strain curve in its linear elastic region, indicating the stiffness of the material.

Signup and view all the flashcards

Yield Point

The point on the stress-strain curve where the material begins to deform permanently.

Signup and view all the flashcards

Ultimate Strength

The stress at which a material breaks or fails.

Signup and view all the flashcards

Ductility

The ability of a material to deform plastically before fracturing.

Signup and view all the flashcards

Study Notes

Structural Mechanics - Supplementary Lecture Notes (Lecture 2)

  • Key Concepts Covered:

    • Understanding and applying Newton's laws
    • Understanding and applying equilibrium conditions
    • Drawing free body diagrams
    • Familiarity with normal forces, shear forces, and bending moment
    • Understanding stress and strain under normal loads
  • Suggested Reading:

    • Structural Mechanics by Ray Hulse & Jack Cain - Chapter 1

What is a Structure?

  • A structure is a collection of connected elements that transfer loads from one point to another. It's not simply a collection of separate elements.

  • Examples include Tower Bridge, office buildings, Wembley Stadium, and biological structures like elephants and humans.

What Loads Do Structures Resist?

  • Structures must resist their own weight, which is a permanent load.
  • They also need to resist "live loads," which are temporary or variable loads caused by things like people, machinery, and vehicles.
  • Other variable loads are environmental, such as wind, snow, water, waves, earthquakes, tsunamis, cyclones, flooding, and volcanic ash.

Performance Objectives for Structures

  • Every structure has a specific function, such as residential, commercial, or industrial.
  • Structures must meet two key performance objectives:
    • Serviceability: The structure must function as intended under normal and frequent loads, meaning it should not deflect excessively or vibrate excessively.
    • Safety: The structure must withstand extreme loads without collapsing.

Static Equilibrium

  • Statics is the study of bodies that are not moving.
  • Static equilibrium is governed by Newton's Laws.
    • A body remains at rest or in uniform motion unless acted upon by a force.
    • The force acting on a body is proportional to the rate of change of its momentum (impulse).
    • For every action, there is an equal and opposite reaction.

Moments

  • A moment is a force multiplied by the perpendicular distance from the point of application of the force to a specified point.

  • Equilibrium of moments can be achieved when the sum of moments at a point is zero.

Forces

  • Forces can be combined graphically using vector addition and trigonometry.
  • Forces can be resolved into x and y components.

External Forces

  • External forces act on the boundary of a structure.
    • They include externally applied forces and forces applied by supports (reactions).
  • External forces are categorized as normal forces, shear forces, or bending moments, based on their direction relative to the structure's cross-section.

Internal Forces

  • Internal forces occur within a structure at a cut section.
  • These forces are equal and opposite internally.
  • Internal forces (normal, shear, and bending moment) create stresses and strains within the structure.

Stresses and Strains

  • Stress is force divided by area.
  • Strain is the change in length divided by the original length.
  • Stress-strain diagrams illustrate the relationship between the two.
  • The stress-strain diagram includes elastic and plastic regions. A material behaves elastically until it reaches its yield point; after that, the material undergoes plastic deformation with a maximum strength value called the ultimate point, followed by failure.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

More Like This

Structural Mechanics Problem Solving
10 questions

Structural Mechanics Problem Solving

SelfSatisfactionCloisonnism avatar
SelfSatisfactionCloisonnism
Gothic Architecture and Structural Stability
40 questions
Use Quizgecko on...
Browser
Browser