Home | Service Areas | Basements | Basement Remodeling | Basement Bathroom Remodeling | Pellet Stove Installation | Contact Us

Concrete Cutting One
1257 Worcester Rd, Unit 114
Framingham, MA 01701

info@concretecutting1.com


Concrete Cutting Coring Grafton MA Mass Massachusetts

Welcome to ConcreteCutting1.Com

“We Specialize in Cutting Doorways and Windows in Concrete Foundations”

Are You in Grafton Massachusetts? Do You Need Concrete Cutting?

We Are Your Local Concrete Cutting Company

Call 508-283-3135

We Service all surrounding Cities & Towns.

Concrete Cutting Grafton MA       

Concrete Cutter Grafton MA         

Concrete Coring Grafton MA        

Core Drilling Grafton MA               

Concrete Sawing Grafton MA      

Concrete Sawing Grafton Mass

Concrete Cutting Grafton Mass   

Concrete Cutter Grafton Mass      

Core Driller Grafton MA

Core Drilling Grafton Mass

We Perform Concrete Cutting, Sawing, Core Drilling and Coring in Grafton.

Whenever we are investigating the mechanics of a concrete arch rib which has a constant moment of inertia, we may simplify Equations 49 by dropping out altogether the denominators of those equations; but since concrete arch ribs are usually made with deeper sections near the concrete abutments, the result will be greater near the concrete abutments. Calling the line at the center I, then I equals itself, in which n is a variable. If we substitute this value of I in the denominators of Equations 49, then, since I. is a constant quantity, it may be placed outside of the summation sign, and even dropped altogether, which practically means that we substitute n for I in Equations 49. We shall also substitute for z its value z" - z' (see Fig. 228), and shall rewrite Equations 49 as follows, by making the substitutions. It will later be shown how we can draw a line which will satisfy the following equations: Since the concrete arch rib (represented by the curve OCB) is assumed to be symmetrical about its center C, and since the variable is horizontal, any position of which will satisfy the first of Equations 51 will also satisfy the second.

It is another principle of the science of summations, that if we have a series of terms whose summation equals zero, and also have another series of terms whose summation equals zero, but whose terms are made up of the difference of two terms, one of which corresponds in each case to the terms of the first summation, then we may say that the summation of the other corresponding terms is likewise zero. For example, the first one of Equations 50 consists of a series of terms which may be rewritten: The first one of Equations 51 is the summation of a series of terms, each with the form In each of these summations the different terms corresponding to the variable values of z' exactly correspond. We may therefore say that the summation of a series of corresponding terms, each one of the form, will exactly equal zero; and we may therefore write Equation 52 as given below. We may also combine the second part of Equation 50 with the second part of Equation 51 in a similar manner, and obtain Equation 53 as given below It will be found more convenient to separate the third part of Equation 50 into two summations, One of which consists of a series of terms and the other of a series of terms consisting of yards of concrete and since the difference of these summations equals zero, then the summations must equal each other, and we may therefore write Equation 54.

An infinite number of equilibrium concrete polygons may be drawn which will satisfy Equation 52 and 53. An equilibrium concrete polygon may be drawn by trial, and the values of the summations for each side of Equation 54 may be determined. But since the position of the line is definitely determined by Equation 51, then the value of the right side of Equation 54 is fixed, and we only need to alter the pole distance of the trial equilibrium concrete polygon in the inverse ratio of the required change in z", and then Equation 54 will be satisfied. Since changing all the values of z" in the same ratio does not alter the satisfaction-of Equations 52 and 53, the changing of the pole distance does not vitiate the previous work. The value for the true pole distance is thus obtained, by which the true curve PQR may be graphically drawn out. We may then determine the moment at any point, which is the product of Hz for any point of the curve in which z is the vertical distance between the center line of the concrete arch rib and the finally determined equilibrium concrete polygon, and H is the pole distance corresponding to that concrete polygon. It will be shown later that the thrust and the shear for any point of the curve equal the projection onto the tangent and normal respectively of the proper ray of the force diagram.

Are You in Grafton Massachusetts? Do You Need Concrete Cutting?

We Are Your Local Concrete Cutting Company

Call 508-283-3135

We Service all surrounding Cities & Towns.