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Reinforced Concrete and Structural Steel Applications
Thomas P. Magner, P.E.
© 2004,1998,1994 PTC. All rights reserved.
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These worksheets solve typical problems encountered in the structural design of buildings. Each application includes a description of the problem, a description of the application, one or more sketches, an input section, a list of computed variables, and a section for calculations. Most of the applications have a summary section which list all input and computed variables.
Worksheets marked with 
use PTC Mathcad premium features, otherwise they are Express compatible. All worksheets created in PTC Mathcad Prime 2.0.
| Chapter | Worksheet Name | Description |
|---|---|---|
| 1. Analysis of Beams | Simple Span Beams | Computes the reactions and the maximum bending moment for simple span beams loaded with any practical number of uniformly distributed and concentrated loads. |
| Beams with Uniform Load and End Moments | Calculates the maximum positive bending moment, the maximum deflection, and the points of inflection for a beam with a uniformly distributed load and applied end moments. | |
| Single Span Beams - Shear and Moment | Computes the reactions and the maximum bending moment, and plots the shear and bending moment for a single span beam, with or without end moments, loaded with any practical number of uniformly distributed and concentrated loads. | |
| 2. Structural Steel Beams | Composite Beam Section Properties | Calculates the horizontal shear and section properties for composite steel beam and concrete slab sections with solid slabs, composite steel decks, or haunches. |
| Shear Capacity of Welded Studs | Calculates the shear capacity of 1/2", 5/8", 3/4" and 7/8"-diameter welded studs in a flat soffit slab of normal weight concrete. | |
| Section Properties of Built-Up Steel Sections | Computes the moment of inertia and section modulus for a steel section that has at least one axis of symmetry built-up from plates. | |
| 3. Reinforced Concrete Slabs and Beams | Continous One Way Slabs | Calculates bending moments using ACI coefficients, and determines the required reinforcing-bar spacing for continuous one way slabs. |
| Reinforced Concrete Beams: Size Selection | Determines the sizes of rectangular beams to satisfy the flexural requirements, shear requirements and minimum thickness limits of ACI 318-89. | |
| Continous Beams: Flexural Reinforcement | Calculates bending moments for continuous rectangular or T-shaped beams using ACI coefficients and determines the required number and size of reinforcing bars. | |
| Shear Reinforcement | Computes the spacing for shear reinforcement of a concrete beam supporting a uniformly distributed load.The application uses the strength design method of ACI 318-89. | |
| Reinforced Concrete Section Properties | Calculates gross section moment of inertia neglecting reinforcement, moment of inertia of the cracked section transformed to concrete, and effective moment of inertia for T-beams, rectangular beams, or slabs. | |
| 4. Reinforced Concrete Columns | Rectangular Tied Columns | Determines the complete range of usable factored axial load and moment for a square or rectangular column of any size, reinforced with any number and size of reinforcing bars, and with any concrete and reinforcement strengths permissible. |
| Effective Lengths and Critical Loads | Calculates the effective length factors and critical loads for rectangular columns in braced or unbraced frames. A single story, all stories, or selected stories may be entered. | |
| Moment Magnification | Computes moment magnifiers for a square or rectangular column, either subject to sidesway, or braced to prevent appreciable sidesway. Moments computed by an ordinary first order frame analysis are then multiplied by the applicable moment magnifier to obtain the moments to be used for design. | |
| 5. Structural Steel Columns - ASD Design | Wide Flange Columns | Allows the user to rapidly check trial sections and to determine that the standards of the AISC Specification, Eqs. (H1-1) and (H1-2), are met. For input, the user only needs to enter the flange width, the section depth and the section weight. |
| Tubular Steel Columns | Allows the user to rapidly check trial sections by entering only the width, depth and tube wall thickness of trial sections. All necessary section properties and parameters required are then computed by the application. | |
| Steel Pipe Columns | Computes section properties, slenderness ratios, actual and allowable axial and bending stresses, amplification factors and moment modifiers, and the beam-column interaction equations of the AISC Specification, for hollow circular tubes or pipe column sections with axial load and end moments about one or both axes. | |
| Steel Column Base Plates | Calculates the plan dimensions and thickness for optimum (least weight) base plates for axially loaded wide flange columns. The plan dimensions and thickness of the plates are optimized for the final rounded plate dimensions and thicknesses. | |
| Elastic Effective Length Factors | Computes elastic effective length factors for braced or unbraced frames using PTC Mathcad solve blocks to solve the equations for effective length factors, eliminating the need to use the alignment chart in the AISC Standards Commentary. | |
| Inelastic Effective Length Factors | Computes the stiffness reduction factors for inelastic behavior (Table A, page 3-8 of the AISC Manual), the stiffness ratios at the ends of the column (G values), and the effective length factor k for sidesway permitted. | |
| 6. Reinforced Concrete Flat Plates | Direct Design Moments and Flexural Reinforcement | Calculates the service loads, the factored loads, the bending moments and the required flexural reinforcement for two-way reinforced concrete slab systems of uniform thickness. |
| Design of Flat Plates for Shear | Computes the section properties of the peripheral shear area around square or rectangular, interior, exterior or corner columns, useable shear stress at factored load, and the shear stresses at the four corners of the shear area due to axial load and bending moments about one or both axes. | |
| 7. Reinforced Concrete Column and Wall Footings | Spread Footings | Calculates the footing thickness required for shear and flexure, and the maximum size and minimum number of reinforcing bars for square or rectangular column or wall footings. |
| Pile Footings | Determines minimum required pile cap thickness and the maximum size and minimum number of reinforcing bars for pile caps with from 2 to 20 piles in a group. | |
| Pile Cap Configurations | Calculates pile coordinates and pile cap plan dimensions for pile groups with 2 to 20 piles. | |
| As Driven Pile Group Analysis | Locates the centroid of axially loaded, as driven pile groups, calculates the eccentricities between the column center and the centroid of the pile group. | |
| 8. Earth Retaining Structures | Reinforced Concrete Retaining Walls with Level or Surcharged Backfill | Determines required footing width, footing thickness, wall thickness and reinforcement areas for retaining walls with a level backfill, with or without a surcharge. |
| Reinforced Concrete Retaining Walls with Sloping Backhill | Calculates required footing width, footing thickness, wall thickness and reinforcement areas for retaining walls with sloping backfill. | |
| Anchored Bulkheads | Computes net pressures on the bulkhead, required depth of embedment of the sheet piles, maximum bending moment and the bending moment at the tie rod anchor point. | |
| 9. Wind and Seismic Loads on Buildings | Wind Loads Using ASCE Standard 7-93 | Computes the wind pressures on the windward wall, leeward wall, side walls and roof, and the net wind pressures and loads at specified height intervals, for a square or rectangular building with a flat roof. |
| Seism Loads Using ASCE Standard 7-93 | Computes the seismic forces, shears, and overturning moments at each level of a building, following the Equivalent Lateral Force Procedure of Section 9.4 of ASCE Standard 7-93. | |
| Seismic Loads Using Uniform Building Code '91 | Calculates the seismic loads at each level of a building, following the static force procedure of the Uniform Building Code, 1991 Edition. | |
| 10. Reinforced Concrete Material Properties, Development, and Splice Lengths | Material Properties, Development, and Splice Lengths | Determines factors and properties and defines constants required to compute shear strength, flexural strength, minimum thickness, and the development and splice lengths of reinforcing bars |
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