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Definition
| vectors lie along the same straight line |
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| lines of action meeting at common point |
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| lines of action do not pass through a common point |
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| lines of action all lie within the same plane |
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Definition
Load (p): a force applied to a body (also called an external force)
Stress (f): the resistance of a body to a load (also called an internal force) and measured in kips (K) |
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| stress/unit of area at the section, measured in psi or ksi (kips/sq.in.) |
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| the deformation of a material caused by external loads. Tensile loads stretch, and compressive loads shorten. |
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| a strain produced by pressure in the structure when its layers are lateral shifted in relation to each other |
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| the tendency of a force to cause rotation about a given point or axis |
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a material’s resistance to non permanent (or elastic)
deformation |
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| the force acting at the supports of a beam that holds it in equilibrium |
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| A load imposed on a structural member at some point other than the centroid of the section |
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| measure of an object’s resistance to changes to its rotation. |
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the ratio of a cross section's second moment of area to the
distance of the extreme compressive fibre from the neutral axis |
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| unit stress is proportional to unit strain up to the elastic limit |
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| the amount of stress that causes a material to deform without additional load added |
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| Composite Structural Member |
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Definition
| more than one material working together (eg: reinforced concrete, box beam, flitch beam) |
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Definition
| ability of material to absorb energy while undergoing elastic range stresses |
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Definition
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Definition
| Stress (f) = Total Force (P) / Area (A) |
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| Force Equations - To find force |
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Definition
Force (F) = Mass (M) x Acceleration (a)
F = Ma |
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| Force Equations - To find shear diagram shear force |
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Definition
Shear Resisting Force (R) = (V) = uniform load per foot (w) x distance (L) / 2
R=V=wL/2 |
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| Force Equations - To find the horizontal force on a retaining wall |
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Definition
Force(F) =soil pressure(w) x height of wall(h)2 /2
F=w(squared)h/2 |
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| Moment Equations - To find equilibrium by taking moments about a point |
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| Moment Equations - To find the eccentric load |
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Definition
M = Pe
(the same as finding equilibrium) |
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| Moment Equations - To find uniform load |
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Definition
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| Moment Equations - To find point/concentrated load at the center of a member |
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| Moment Equations - To combine Point Load and Uniform Loads |
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Definition
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| Section Modulus Equations - To find Section Modulus |
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Definition
(both moment and stress are in kips or lbs)
SectionModulus(S)=Base(b) x diameter(d)^2 /6
S=bd^2 /6
Section Modulus (S) = Moment (M) / Bending Stress (Fb)
S = M / Fb
Section Modulus (S) = Moment of Inertia / given constant (c)
S = I / c |
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| Section Modulus Equations - To find Section Modulus for a roof beam |
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Definition
Section Modulus (S) = Moment (M) / 1.25 x Bending Stress (Fb)
S = M / 1.25Fb |
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| Moment of Inertia Equations - To find Moment of Inertia |
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Definition
(occurs about the centroidal axis)
Moment of Inertia(I)= Base(b) x depth(d)^3 /12
I=bd^3 /12 |
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| Moment of Inertia Equations - To find Rectangle Moment of Inertia |
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Definition
Rectangle Moment of Inertia (I) = Base (b) x depth (d)^3/ 3
I = bd^3 / 3 |
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| Moment of Inertia Equations - To find Moment of Inertia at base |
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Definition
(Ibase) = Moment of Inertia (I) +
Area (A) x distance from centroid to base (y)^2
Ibase = I + Ay^2 |
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