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Geometric property of a structural member
solid mechanics and structural engineering, section modulus is a geometric property of a given cross-section used in the design of beams or flexural members
Section_modulus
Construction element
requiring the least material) needed to achieve a given section modulus. Since the section modulus depends on the value of the moment of inertia, an efficient
I-beam
Mechanical property that measures stiffness of a solid material
Young's modulus (or the Young modulus) is a mechanical property of solid materials that measures the tensile or compressive stiffness when the force is
Young's_modulus
Computational operation
remainder of a division of one number by another, the latter being called the modulus of the operation. Given two positive numbers a and m, a modulo m (often
Modulo
Method for load calculation in construction
{\displaystyle E} is the elastic modulus and I {\displaystyle I} is the second moment of area of the beam's cross section. I {\displaystyle I} must be calculated
Euler–Bernoulli_beam_theory
Intensive property in mechanics
In mechanics, the flexural modulus, bending modulus, or modulus of rigidity is an intensive property that is computed as the ratio of stress to strain
Flexural_modulus
Ratio of stiffness to mass for a material
Specific modulus is a materials property consisting of the elastic modulus per mass density of a material. It is also known as the stiffness to weight
Specific_modulus
Extinct genus of rodents
incisor. The incisor of J. monesi at the level of the root had a high section modulus (a measure of an object's ability to resist bending) on account of
Josephoartigasia
SI derived unit of pressure
or magnetic resonance imaging, and often displays the Young's modulus or shear modulus of tissue in kilopascals. In materials science and engineering
Pascal_(unit)
Topics referred to by the same term
\mathbb {Z} _{p}} , the set of p-adic integers Z, symbol for plastic section modulus, a geometric property z-axis, part of the Cartesian coordinate system
Z_(disambiguation)
Degree to which part of a structural element is displaced under a given load
E {\displaystyle E} is the Young's modulus, I {\displaystyle I} is the area moment of inertia of the cross-section, and M {\displaystyle M} is the internal
Deflection_(engineering)
Algorithm for generating pseudo-randomized numbers
is equivalent to a generator with modulus m/4 and c ≠ 0. A more serious issue with the use of a power-of-two modulus is that the low bits have a shorter
Linear_congruential_generator
Measurement of a shape about a certain axis
web section of the cross-section at the point being measured Second moment of area Polar moment of inertia Section modulus Shigley's Mechanical Engineering
First_moment_of_area
Extinct genus of dinosaurs
right tarsometatarsus. More recent detailed analysis of the polar section modulus of the bones shows this genus in amphibious-seabird morphospaces, closest
Antarcticavis
Property of a structural cross-section
moment M p {\displaystyle M_{p}} first requires determining the plastic section modulus Z P {\displaystyle Z_{P}} and then to substitute this into the following
Plastic_moment
Measure of material deformation perpendicular to loading
For soft materials, such as rubber, where the bulk modulus is much higher than the shear modulus, Poisson's ratio is near 0.5. For open-cell polymer
Poisson's_ratio
Product of a number by itself
absolute value of a complex number is called its absolute square, squared modulus, or squared magnitude.[better source needed] It is the product of the complex
Square_(algebra)
Speed of sound wave through elastic medium
compressibility, shear modulus, and density. The speed of shear waves is determined only by the solid material's shear modulus and density. In fluid dynamics
Speed_of_sound
Extinct marsupial genus
22–85 kg (49–187 lb). Finite element analysis considers the skull's section modulus—an object's ability to resist bending—but the material properties of
Diprotodon
Curve representing a material's response to applied forces
the elastic region, and the slope of this region is the modulus of elasticity or Young's modulus. Plastic flow initiates at the upper yield point and continues
Stress–strain_curve
Topics referred to by the same term
or RNA. Plastic neutral axis, an engineering value used in plastic section modulus Pottery Neolithic A, a division of the Pottery Neolithic period in
PNA
Pseudorandom number generator
The reason for choosing these particular values for the multiplier and modulus had been that with a 32-bit-integer word size, the arithmetic of mod 231
RANDU
Force needed to pull a spring grows linearly with distance
c can be reduced to only two independent numbers, the bulk modulus K and the shear modulus G, that quantify the material's resistance to changes in volume
Hooke's_law
Twisting of an object due to an applied torque
a complex shear modulus G ∗ = G ′ + i G ″ , {\displaystyle G^{*}=G'+iG'',} where G ′ {\displaystyle G'} is the shear storage modulus and G ″ {\displaystyle
Torsion_(mechanics)
French mathematician
the bottom, thus deriving a correct elastic section modulus of the cross sectional area times the section depth divided by six. Parent's work had little
Antoine_Parent
American musical instrument manufacturer
Modulus Graphite (formerly, Modulus Guitars) is an American manufacturer of musical instruments best known for building bass guitars with carbon fiber
Modulus_Guitars
Logarithmic distance scale
Large Magellanic Cloud (LMC) is at a distance modulus of 18.5, the Andromeda Galaxy's distance modulus is 24.4, and the galaxy NGC 4548 in the Virgo Cluster
Distance_modulus
6.8×51mm rifle cartridge by SIG Sauer
This section may be confusing or unclear to readers. In particular, yield strength is based on Young's modulus, but the relevant modulus for how much
.277_Fury
Mexican banking standard
is: 3 if its position (starting at 0) modulus 3 is 0 7 if its position modulus 3 is 1 1 if its position modulus 3 is 2 A 17 digit weight is always "37137137137137137"
CLABE
Dam in Folsom, California
trunnion friction stress is applied to the weak axis of the struts (see Section modulus). To better handle these loads, the struts are connected with diagonal
Folsom_Dam
Continuum mechanics
function of the Young's modulus E {\displaystyle E} , the second moment of area I {\displaystyle I} of the beam cross-section about the axis of interest
Bending_stiffness
Material property
Flexural strength, also known as modulus of rupture, bend strength, or transverse rupture strength, is a material property defined as the maximum stress
Flexural_strength
Technique used to study & characterize materials
complex modulus. The temperature of the sample or the frequency of the stress are often varied, leading to variations in the complex modulus; this approach
Dynamic_mechanical_analysis
Model of viscoelastic material
Thus, the real and imaginary components of the dynamic modulus are referred to as storage modulus E ′ {\displaystyle E^{\prime }} and E ′ ′ {\displaystyle
Kelvin–Voigt_material
Function in mathematical analysis
it admits a modulus of continuity. Moreover, relevance to the notion is given by the fact that sets of functions sharing the same modulus of continuity
Modulus_of_continuity
Sudden change in shape of a structural component under load
(in the elastic section of the stress-strain curve, the tangent modulus is equal to the elastic modulus). Plots of the tangent modulus of elasticity for
Buckling
area. Often the equation is simplified to the moment divided by the section modulus S {\displaystyle S} , which is I / y {\displaystyle I/y} . This equation
Structural_engineering_theory
Chemical data page
properties can be well-characterized by the Young's modulus, Poisson's ratio, Bulk modulus, and Shear modulus or they may be described by the Lamé parameters
Elastic properties of the elements (data page)
Elastic_properties_of_the_elements_(data_page)
Resistance to deformation in response to force
of twist The elastic modulus of a material is not the same as the stiffness of a component made from that material. Elastic modulus is a property of the
Stiffness
Algorithm for public-key cryptography
private exponent d, one can efficiently factor the modulus n = pq. And given factorization of the modulus n = pq, one can obtain any private key (d', n) generated
RSA_cryptosystem
Material ability to absorb energy and plastically deform without fracturing
divided by two times the Young's modulus of elasticity. That is, Modulus of resilience = Yield stress2/2 (Young's modulus) The toughness of a material
Toughness
Material testing procedure that makes a very small mark in a surface
corner (90°) tip is 2.598. The reduced modulus E r {\displaystyle E_{\text{r}}} is related to Young's modulus E s {\displaystyle E_{\text{s}}} of the
Nanoindentation
Technical standard
well as tables for material properties (Modulus of Elasticity, Coefficient of heat transfer et al.) Section III of the ASME Code Address the rules for
ASME Boiler and Pressure Vessel Code
ASME_Boiler_and_Pressure_Vessel_Code
Chemical compound
psi) Young's modulus 6.136 MPa (890 psi) Ultimate elongation 600% Hardness (Durometer) 30–95 Glass transition temperature -43°C Storage modulus (measured
Neoprene
Component of stress coplanar with a material cross section
the shear modulus of the isotropic material, given by G = E 2 ( 1 + ν ) . {\displaystyle G={\frac {E}{2(1+\nu )}}.} Here, E is Young's modulus and ν is
Shear_stress
Standard procedure for measuring modulus of elasticity in bending
used: σf = Modulus of Rupture, the stress required to fracture the sample (MPa) ϵf = Strain in the outer surface, (mm/mm) Ef = flexural Modulus of elasticity
Three-point_flexural_test
Medical imaging methodology
with the shear modulus (G), which quantifies tissue stiffness and elasticity and is typically expressed in kilopascals. The shear modulus is derived using
Shear_wave_elastography
Species of gastropod
Modulus bayeri is a species of sea snail, a marine gastropod mollusc in the family Modulidae. This marine species occurs off Brazil. The maximum recorded
Modulus_bayeri
Material underneath a road or track
traffic loading is commonly quantified using the resilient modulus (Mr). The resilient modulus represents the ratio of applied cyclic stress to recoverable
Subgrade
Material made from a combination of two or more unlike substances
be described with the following material properties: Young's Modulus, the shear modulus, and the Poisson's ratio, in relatively simple mathematical relationships
Composite_material
Most abundant structural protein in animals
Young's modulus of collagen at the molecular level. Only above a certain strain rate is there a strong relationship between elastic modulus and strain
Collagen
Unique numeric book identifier since 1970
modular arithmetic is convenient for calculating the check digit using modulus 11. The remainder of this sum when it is divided by 11 (i.e. its value
ISBN
is a modulus of elasticity, one of several kinds that depend on the specific strain being examined: bulk modulus, shear modulus, Young's modulus, or P-wave
Strength_of_materials
dislocation motion within the material. Common in Crystals. Specific modulus: Modulus per unit volume (MPa/m^3) Specific strength: Strength per unit density
List_of_materials_properties
Date and time representation system widely used in computing
the quotient and modulus of the Unix time number, modulo 86400. The quotient is the number of days since the epoch, and the modulus is the number of seconds
Unix_time
Number divisible only by 1 and itself
difference is called the modulus of the progression. For example, 3,12,21,30,39,..., is an infinite arithmetic progression with modulus 9. In an arithmetic
Prime_number
Concept in polymer physics
increase in the macroscopic modulus. Moreover, at constant frequency, an increase in temperature results in a reduction of the modulus due to an increase in
Time–temperature superposition
Time–temperature_superposition
Equation in mechanics
equations of continuum mechanics. It involves two adjustable parameters: the modulus of incompressibility K0 and its first derivative with respect to the pressure
Murnaghan_equation_of_state
Geometrical property of a bar's cross-section
where: T is the applied torque L is the beam length G is the modulus of rigidity (shear modulus) of the material J is the torsional constant Inverting the
Torsion_constant
Concept in modular arithmetic
integer x such that the product ax is congruent to 1 with respect to the modulus m. In the standard notation of modular arithmetic this congruence is written
Modular multiplicative inverse
Modular_multiplicative_inverse
Synthetic polymer
Thermal expansion 112–125×10−6 K−1 Thermal diffusivity 0.124 mm2/s Young's modulus 0.5 GPa Yield strength 23 MPa Coefficient of friction 0.05–0.10 Dielectric
Polytetrafluoroethylene
Identifier for a security
3 + 8 + 3 + 0) = 45 Take the 10s modulus of the sum: 45 mod 10 = 5 Subtract from 10: 10 − 5 = 5 Take the 10s modulus of the result (this final step is
International Securities Identification Number
International_Securities_Identification_Number
Quantity of resistance to torsional deformation
torsional constant, JTJT of a cross section?". Torsion of Shafts - engineeringtoolbox.com Elastic Properties and Young Modulus for some Materials - engineeringtoolbox
Second_polar_moment_of_area
Size of a set in mathematics
2014, Section 3.1 Determinacy Kanamori 2003, pp. 369–370 Koellner 2014, Section 2.1 Historical Overview Kanamori 2003, p. XXI Koellner 2014, Section 2.1
Cardinality
Material designed to manipulate sound waves
force constant is identical to the modulus of the material. With phononic crystals of materials with differing modulus the calculations are more complicated
Acoustic_metamaterial
Precipitation-hardening aluminium alloy
greatly depend on the temper, or heat treatment, of the material. Young's Modulus is 69 GPa (10,000 ksi) regardless of temper. Annealed 6061 (6061-O temper)
6061_aluminium_alloy
Pressure surge when a fluid is forced to stop or change direction suddenly
bulk modulus of elasticity of the system fluid–pipe, ρ = density of the fluid, K = bulk modulus of elasticity of the fluid, E = elastic modulus of the
Hydraulic_shock
Property of materials with both viscous and elastic characteristics under deformation
dynamic modulus G can be used to represent the relations between the oscillating stress and strain: G=G′+iG″ where i2=−1; G′ is the storage modulus and G″
Viscoelasticity
Method to characterize materials
measures the resonant frequencies in order to calculate the Young's modulus, shear modulus, Poisson's ratio and internal friction of predefined shapes like
Impulse_excitation_technique
Species of gastropod
Modulus nodosus is a species of sea snail, a marine gastropod mollusc in the family Modulidae. This marine species occurs in the Caribbean Sea off Venezuela
Modulus_nodosus
Geometric space whose points represent algebro-geometric objects of some fixed kind
introducing coordinates on the resulting space. In this context, the term "modulus" is used synonymously with "parameter"; moduli spaces were first understood
Moduli_space
Standard file format for executables, object code, shared libraries, and core dumps
memory segments Section header table, describing zero or more sections Data referred to by entries in the program header table or section header table The
Executable and Linkable Format
Executable_and_Linkable_Format
Creation of particle-antiparticle pair from a neutral boson
ʀ {\displaystyle p_{\text{ʀ}}} is the recoil of the nucleus. Note the modulus of the four vector A ≡ ( A 0 , A ) {\displaystyle A\equiv (A^{0},\mathbf
Pair_production
Analytic function in mathematics
Δ < 1/3. Estimating the values F and G from below shows, how large (in modulus) values ζ(s) can take on short intervals of the critical line or in small
Riemann_zeta_function
Substance composed of macromolecules with repeating structural units
with polymer chain length and crosslinking of polymer chains. Young's modulus quantifies the elasticity of the polymer. It is defined, for small strains
Polymer
Genus of vines
The slope of the linear region of the stress-strain curve, or Young’s modulus, is 236* MPa. The highest stress achieved before fracture, or ultimate
Luffa
Alphanumeric code that uniquely identifies a bank account in any participating country
means the remainder r is subtracted from a fixed value, usually the modulus or the modulus plus one (with the common exception that a remainder of 0 results
International Bank Account Number
International_Bank_Account_Number
Chemical element with atomic number 6 (C)
This carbyne is of considerable interest to nanotechnology as its Young's modulus is 40 times that of the hardest known material – diamond. In 2015, a team
Carbon
Ratio of width and height in architecture
influence of the material is represented separately by the material's modulus of elasticity E {\displaystyle E} . Structural engineers generally consider
Slenderness_ratio
Degree to which a material under stress irreversibly deforms before failure
the relevant elastic modulus is Young's; the equivalent for deforming under bulk compression, i.e. when using the bulk modulus, is malleability. Historically
Ductility
Strong fabric of the type used to make ships' sails
latter having a 50% higher initial modulus than Type 29 but a lower flex loss. DuPont has developed higher modulus Types 129, 149 and 159, but these have
Sailcloth
ID number for individuals in Ireland
calculated using a weighted addition of all the numbers and modulus calculation (known as Modulus 23). It therefore checks for incorrectly entered digits
Personal Public Service Number
Personal_Public_Service_Number
Chemical element with atomic number 47 (Ag)
in nuclear reactors because of its high thermal neutron capture cross-section, good conduction of heat, mechanical stability, and resistance to corrosion
Silver
Industrial and food chemical
the properties based on what is demanded. Overall PDMS has a low elastic modulus which enables it to be easily deformed and results in the behavior of a
Polydimethylsiloxane
Matthew A.; Nix, William D.; Kenny, Thomas W. (2010). "What is the Young's Modulus of Silicon?" (PDF). Journal of Microelectromechanical Systems. 19 (2):
Speeds of sound of the elements
Speeds_of_sound_of_the_elements
Natural or synthetic substance that is significantly longer than it is wide
Transparency, UV Light Resistance, Volume Resistivity, Water absorption, Young's Modulus Wikimedia Commons has media related to Fibers. Ceramic matrix composite
Fiber
Number with a real and an imaginary part
non-negative real number. This allows to define the absolute value (or modulus or magnitude) of z to be the square root |z|=x2+y2. By Pythagoras' theorem
Complex_number
Protein fiber made by spiders
having a lower Young's modulus. According to Spider Silkome Database, Ariadna lateralis silk has the highest Young's modulus with 37 GPa, compared to
Spider_silk
Chemical element with atomic number 22 (Ti)
favored due to their low rate of corrosion, long life, and low Young's modulus. A titanium alloy that contains 6% aluminium and 4% vanadium commonly used
Titanium
Mathematical theorem
fractional ideals of L prime to c. Such a modulus c is called a defining modulus for L/K. The smallest defining modulus is called the conductor of L/K and typically
Artin_reciprocity
Complex exponential in terms of sine and cosine
logarithm, and the "modulus" is a conversion factor that transforms a measure of angle into circular arc length (here, the modulus is the radius (CE) of
Euler's_formula
Experimental method in X-ray diffraction
such quantities as the thermal expansion tensor and the isothermal bulk modulus, as well determination of the full equation of state of the material. At
Powder_diffraction
Audible vibration that travels via pressure waves in matter
as the Newton–Laplace equation. In this equation, K is the elastic bulk modulus, c is the velocity of sound, and ρ {\displaystyle \rho } is the density
Sound
Very long-chain polyethylene with high impact strength
UHMW) is a subset of the thermoplastic polyethylene. Also known as high-modulus polyethylene (HMPE), it has extremely long chains, with a molecular mass
Ultra-high-molecular-weight polyethylene
Ultra-high-molecular-weight_polyethylene
Chemical element with atomic number 79 (Au)
archéologique française en Iran. Institut français de recherches en Iran (section archéologique). p. 146. Yannopoulos, J. C. (1991). The Extractive Metallurgy
Gold
SI derived unit of angle
Hence the Modulus of the Trigonometric Canon will be 57.2957795130 &c. Whose Reciprocal is 0.0174532925 &c. With the help of this modulus (which I found
Radian
Description of a quantum-mechanical system
of a wavefunction can be time independent, the total volume integral of modulus square of the wavefunction need not be time independent. The continuity
Schrödinger_equation
Mathematical technique in complex analysis
the maximum modulus principle, which is only applicable to bounded domains. In the theory of complex functions, it is known that the modulus (absolute value)
Phragmén–Lindelöf_principle
Alloy of iron and carbon
properties compared to the pure form of iron. Due to its high elastic modulus, yield strength, fracture strength and low raw material cost, steel is
Steel
Open problem on 3x+1 and x/2 functions
result holds even if one restricts the class of functions g by fixing the modulus P to 6480. Iterations of g in a simplified version of this form, with all
Collatz_conjecture
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