By ACI Committee 301

It is a Reference Specification that the Architect/Engineer can practice to any building undertaking regarding structural concrete via mentioning it within the venture requisites. Checklists are supplied to aid the Architect/Engineer in supplementing the provisions of this Reference Specification as wanted through designating or specifying person venture necessities. the 1st 5 sections of this rfile conceal basic building requisites for cast-in-place structural concrete and slabs-on-ground. those sections hide fabrics and proportioning of concrete; reinforcement and prestressing metal; construction, putting, completing, and curing of concrete; formwork functionality standards and building; therapy of joints; embedded goods; fix of floor defects; and completing of shaped and unformed surfaces. Provisions governing checking out, overview, and reputation of concrete in addition to recognition of the buildings are incorporated. the rest sections are dedicated to architectural concrete, light-weight concrete, mass concrete, post-tensioned concrete, shrinkagecompensating concrete, business flooring slabs, tilt-up development, precast structural concrete, and precast architectural concrete.

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**Example text**

Approximate D i f f e r e n t i a l ii i]li u ll ' ,,,,,, Equations i [ Solve Algebraic E q u a t i o n s O u t p u t A p p r o x i m a t e Solution Figure _ 3. T h e finite d i f f e r e n c e m e t h o d . i i Part l Introduction 9 7 not represent as wide a range of boundary conditions on complex regions as the finite element method. In Parts III and IV, we reformulate both the finite element and the finite difference methods using the same physically based, self-referential notation. This means that the two methods can represent the same geometries and boundary conditions.

9) The desired goal of finding the equilibrium position of the bar is accomplished by solving these two equations for x~ and x2. The two components of Eq. 9 can be seen to be the equilibrium equations found by summing the moments about the left and right ends of the bar, respectively. This application of the principle of minimum potential energy has demonstrated several concepts. The use of relative coordinates has been operationally demonstrated for both the strain energy and the work function.

When the derivative expressions just formed in Eq. 3 are substituted into the functional given by Eq. 4) 24 9 Part l The next step in the procedure is to formalize the process of minimizing the functional illustrated in Fig. 2. This requires that we find the rate of change of the general functional with respect to e, the magnitude of the perturbation, and set the derivative to zero. This is accomplished by recognizing that each of the dependent variables, y, Y,x, and Y, xx, in Eqs. 4 are functions of e and by using this fact to form the total derivative of the general functional with respect to e using the chain rule.