Heat of Hydration in Concrete Mixture

for aqueous ionic solutions,

• Solvent attractive forces and Mixing forces are

combined into a term called the heat of hydration

∆Hsolvent + ∆Hmix = ∆hhydration

 attractive forces in water = H-bonds

 attractive forces between ion and water = ion-dipole

 ∆Hhydration = heat released when 1 mole of gaseous ions

dissolves in water

 ∆Hsolute = - ∆Hlatic

Heat of Hydration
The term ‘heat of hydration’ is applied to the heat generated by the chemical reactions, which occur in setting concrete between the water and cement. The heat causes the concrete first to expand and then to shrink as it cools. If there is a temperature gradient across the concrete or the concrete is otherwise restrained, cracking may occur. The two factors, which are most likely to cause excessive generation of heat, are very large pours and high cement contents. Some specifications set a maximum cement content in order to limit the generation of heat.

erfc

http://office.microsoft.com/en-us/excel-help/erfc-HP005209078.aspx

Doing some note taking on erfc for Water Resource Engineer home work assignment.

Khan Academy Fluids Videos

https://www.khanacademy.org/science/physics/fluids/v/fluids--part-1

Buckingham Pi Theorem

Concrete Waffle

Ponicare

http://www.math.unl.edu/~mbrittenham2/ldt/poincare.html

Hooke's Law

The Curious Life of Robert Hooke: The Man Who Measured London by Lisa Jardine






Why I want to read this book:  First encounter Hooke's law in general physics class.  We conducted experiments using springs and weights in parallel and in circuits.  Then this same equation was inverse in circuitry for electricity and magnetism.  Then in the strength of materials class his law for elastic material increased my interests.  After picking up this book at the local library, I saw an article about a new material using Hooke's Law and principals to absorb the energy of exploding bomb.  They have figured out how to make really thin clear membrane embedded in glass to create bullet proof glass using Hooke's Law.  Hooke also dabbled in architecture helping Sir Christopher Wren build London after the Great Fires.     



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Tensile Testing

Nike donated this machine to test tensile strength in fabrics.  We used it in the Portland State University to stretch the coupons in tensile test. 

 

Aluminum test coupons

Bernoulli equation deq

http://youtu.be/_7k_1nh51OM

Menelaus of Alexandria

Some Notes on Menelaus.
His work on spherical geometry furthers into Non Euclidian Geometry.  Geodesic, a straight line is a small segment of a large circle who has a center.  Modern aviation, airplanes use this knowledge to fly.  This is how commercial airplanes fly.  (I learned this fact from a book call 'Is God a Mathematician'? 
Mathematician began to see fault in Euclid's geometry because of his proposition for Parallel line was long and clumsy.  In spherical geometry, the parallel lines do not extend for ever in parallels.  They come to a point.  This is why there is a distinction between spherical geometry and plane geometry.  Look at the globe.  The meridian comes to a point at the North and South Poles.

Michael Schultheis

http://www.michaelschultheis.com

.froelick gallery bio

Gold Sail of Menelaus

"As humans, we have a fascinating capacity to visualize mathematics. Our analytical concepts can be visualized, written down in notation, and then shared as a logical and visual language for others. These creative issues from our minds are analytical expressions, and the visual process of rendering them is analytical expressionism. This is the world I explore while painting." - Michael Schultheis


Likening his canvas to a chalkboard, Michael Schultheis creates paintings consisting of layers of mathematical notations and drawings that describe the form and motion of three-dimensional geometric shapes.

Conics of Apollonius

Toriods

Harmonic Oscillations

Harmonic Quadrants

Parabolic Symmetries

Conic Symmetries

Cycloids

Fedrico Saenz Recio

federico saenz recio
NATURE PROVIDES
Acrylic graphite pastel on canvas

Plane

This looks like a Richard Sierra work.  I like the balance.  The vertices and the x y axis.  The plane and vector geometry in this work.  I like the equilibrium.

Viollet-Le-Duc

Timber-frame bartizan, as seen in Strasbourg (late XIV - XV century).

From Dictionnaire raisonné de l’architecture française du XIe au XVIe siècle (Reasoned dictionary of French architecture from the XIth to the XVIth century), vol. 7 by E. Viollet-Le-Duc. Paris, 1875.

(Source: archive.org)

Anselm Keiffer water colors

Cramer's Rule

Be Bro-Mine ?

Heat of Hydration

for aqueous ionic solutions,

• Solvent attractive forces and Mixing forces are

combined into a term called the heat of hydration

∆Hsolvent + ∆Hmix = ∆hhydration

 attractive forces in water = H-bonds

 attractive forces between ion and water = ion-dipole

 ∆Hhydration = heat released when 1 mole of gaseous ions

dissolves in water

 ∆Hsolute = - ∆Hlatic

Heat of Hydration
The term ‘heat of hydration’ is applied to the heat generated by the chemical reactions, which occur in setting concrete between the water and cement. The heat causes the concrete first to expand and then to shrink as it cools. If there is a temperature gradient across the concrete or the concrete is otherwise restrained, cracking may occur. The two factors, which are most likely to cause excessive generation of heat, are very large pours and high cement contents. Some specifications set a maximum cement content in order to limit the generation of heat.


http://www.cement.org/tech/pdfs/pl972.pdf

http://myweb.dal.ca/mawhite/3303/supplementals/cementpaper.pdf

The black keys

Black Keys Live at the Crystal Ballroom

Cloud