Study Guide for Arch 631 Exam 1: Statics and Mechanics of Structures, Study notes of Structural Design and Architecture

This study guide is designed to help university students prepare for exam 1 in the arch 631 course. It covers various topics related to statics and mechanics of structures, including vectors and scalars, equilibrium, moment and shear diagrams, stress types, and more. The guide also provides information on design considerations, such as allowable stress design and load combinations.

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2011/2012

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Study Guide for Exam 1
This guide is not providing “answers” for the conceptual questions. It is a list of topical concepts
and their application you should be familiar with. It is an aid to help prepare for the mid-term exam.
Covers material of Lectures 1, 2, 3, 4, 5, & 6
Statics & Mechanics
Vectors and scalars
Parallelogram law
Tip-to-tail method
Internal vs. external forces
Tension and compression
Resultant of a force
Component of a force
Moment of a force
Moment of a distributed load
Moment Couple
Equivalent Force Systems
Concurrent vs non-concurrent force systems
Equilibrium
Newton’s First Law
Direction and type of force in a cable with
relation to geometry
Free Body Diagram
Reactions at a support and relationship to motion
prevented
Statically Determinate vs. Indeterminate
Two-force bodies and relationship to loads
Three-force bodies
Fixed-end moment reactions
Pin connections
Method of Joints
Method of Sections
Actions vs. reactions
Internal shear, axial force & bending moment
Inflection point on moment diagram
Effect of forces on shear diagram
Effect of moments on moment diagram
Location of zero shear (x) and relation to
maximum moment
Slope relationships with integration
Normal stress (compression & tension)
Shear stress (non beams)
Bearing stress
Bending & shear stress (beams)
Torsional (shear) stress (with respect to shape
and where maximum occurs)
Relation of strain to stress & Modulus of
Elasticity
Brittle, Ductile & Semi-brittle material behavior
Yield strength (or point & proportional limit)
Elastic vs. plastic range
Ultimate strength
Strength vs. stress
Rupture / Fatigue behavior
Creep
Orthotropic vs. Isotropic vs. Anisotropic
materials
Stress concentration
Thermal vs. elastic strains
Geometric constraints
Serviceability
Buckling
Deflections & elongation
Stiffness (relative to EI/L through Δ, or AE/L
through δ)
Superpositioning
Single vs. double shear
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Study Guide for Exam 1

This guide is not providing “answers” for the conceptual questions. It is a list of topical concepts

and their application you should be familiar with. It is an aid to help prepare for the mid-term exam.

Covers material of Lectures 1, 2, 3, 4, 5, & 6

Statics & Mechanics

Vectors and scalars

Parallelogram law

Tip-to-tail method

Internal vs. external forces

Tension and compression

Resultant of a force

Component of a force

Moment of a force

Moment of a distributed load

Moment Couple

Equivalent Force Systems

Concurrent vs non-concurrent force systems

Equilibrium

Newton’s First Law

Direction and type of force in a cable with relation to geometry

Free Body Diagram

Reactions at a support and relationship to motion prevented

Statically Determinate vs. Indeterminate

Two-force bodies and relationship to loads

Three-force bodies

Fixed-end moment reactions

Pin connections

Method of Joints

Method of Sections

Actions vs. reactions

Internal shear, axial force & bending moment

Inflection point on moment diagram

Effect of forces on shear diagram

Effect of moments on moment diagram

Location of zero shear ( x ) and relation to maximum moment

Slope relationships with integration

Normal stress (compression & tension)

Shear stress (non beams)

Bearing stress

Bending & shear stress (beams)

Torsional (shear) stress (with respect to shape and where maximum occurs)

Relation of strain to stress & Modulus of Elasticity

Brittle, Ductile & Semi-brittle material behavior

Yield strength (or point & proportional limit)

Elastic vs. plastic range

Ultimate strength

Strength vs. stress

Rupture / Fatigue behavior

Creep

Orthotropic vs. Isotropic vs. Anisotropic materials

Stress concentration

Thermal vs. elastic strains

Geometric constraints

Serviceability

Buckling

Deflections & elongation

Stiffness (relative to EI/L through Δ, or AE/L through δ)

Superpositioning

Single vs. double shear

ARCH 631 Study Guide: 1 F2010abn

General: Design

Allowable Stress Design

Load and Resistance Factor Design

Factored loads

Resistance Factors

“Design” values vs. “Capacity”

Factor of Safety

Density of materials and relation to weight

Load types (and directions) ( like D, L, S ...)

Minimum loads (building codes)

Load combinations

Serviceability and limits (ex. ponding)

Live load reduction

Building codes vs. standards vs. structural codes

Stability of systems & members

Design vs. analysis

Efficiency

Load tracing & (con)tributary width (vs. area)

Static vs. dynamic loads

Equivalent static wind load & pressure

Concentrated loads

Distributed loads – uniform / non-uniform

Result of acceleration on a mass and Weight

Period of vibration, frequency, damping & resonance

General: Systems

One-way vs. two-way systems

Truss configurations and assumptions for analysis

Zero-force member

Special truss member configurations at joints and conditions

Basis of graphical truss analysis (aka Maxwell’s diagram)

Compound truss

“Cable” truss members

“Shear & Moments” in parallel chord trusses

Lenticular truss

Vierendeel “truss”

Catenary shape, sag

Cable-stayed

Pinned arches (2 vs. 3) & rigid arches

“Thrust”

Types and purpose of bracing

Bearing, shear, curtain walls ...

General: Columns

Stability

Buckling vs. crushing

Slenderness

Critical Buckling and Euler’s Formula

Effective length, K & bracing (end conditions)

Beam-Columns (eccentric loading)

Combined bending and compression – interaction equations or diagrams

P-Δ effect

Eccentricity

Kern

General: Beams

Simply supported

Overhang

Cantilever

Continuous

w vs. W

Equivalent center of load area

Built-up shape

Centroid, moment of inertia, Q , radius of gyration

Neutral axis, section modulus, extreme fiber

Negative area method

Parallel axis theorem

Maximum bending stress (& location along length and in cross section)