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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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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
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
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 ...
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
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)