# Roark's Worksheet Library - 6th Edition for PTC Mathcad Prime 4.0

**Reference:**
314872600

**Manufacturer:**
PTC Mathcad

**Roark's Worksheet Library - 6th Edition for PTC Mathcad Prime 4.0**

is the ultimate resource for engineers to complete project after project.

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**About Roark's Worksheet Library - 6th Edition for PTC Mathcad Prime 4.0 **

**Roark's Worksheet Library - 6th Edition for PTC Mathcad Prime 4.0 ** is the ultimate resource for engineers to complete project after project. This worksheet library addresses topics including:

- Column buckling and elastic stability
- Stress, force and deflection calculations for beams
- Combined stress formulas
- Curved beam cross-section properties
- Moments of inertia
- Torsional loading
- Beam analysis for a varying section
- Stresses and deflection of flat plates
- Discontinuity analysis results at the junction of shells and plates
- Natural frequencies of plates
- Bending and membrane stresses of thinwalled pressure vessels
- Radial displacements
- Buckling of shells.

**Table of Contents**

**Chapter 1: Definitions**

**Chapter 5: Properties of a Plane Area****Table 1**Properties of Sections**Chapter 6: Tension, Compression, Shear and Combined Stress****Table 2**Formulas for Combined Stress**Example Problems**

**Chapter 7: Beams; Flexure of Straight Bars**

**Table 3**Shear, Moment, Slope, and Deflection Formulas for Elastic Straight Beams**Table 4**Reaction and Deflection Formulas for Inplane Loading of Elastic Frames**Table 7**Shear, Moment, Slope and Deflection Formulas for Finite-length Beams on Elastic Foundations**Table 8**Shear, Moment, Slope and Deflection Formulas for Semi-infinite Beams on Elastic Foundations**Table 10**Shear, Moment, Slope and Deflection Formulas for Beams under Simultaneous Axial Compression and Transverse Loading**Table 11**Shear, Moment, Slope and Deflection Formulas for Beams under Simultaneous Axial Tension and Transverse Loading**Table 12**Beams Restrained Against Horizontal Displacement at the Ends**Table 13**Reaction and Deflection Coefficients for Tapered Beams**Table 14**Position of Flexural Center Q for Different Sections**Table 15**Collapse Loads with Plastic Hinge Locations for Straight Beams**Example Problems****Chapter 8: Curved Beams**

**Table 16**Formulas for Curved Beams Subjected to Bending in the Plane of the Curve**Table 17**Formulas for Tangential and Radial Forces, Moment and Stress in Circular Rings Subject to Bending in the Plane of the Curve**Table 18**Reaction and Deformation Formulas for Circular Arches**Table 19**Formulas for Curved Beams of Compact Cross Section Loaded Normal to the Plane of Curvature**Example Problems****Chapter 9: Torsion**

**Table 20**Formulas for Torsional Deformation and Stress**Table 21 and Table 22**Formulas for Torsional Properties and Stresses in Thin-walled Open Cross Sections and Formulas for the Elastic Deformations of Uniform Thin-walled Open Members under Torsional Loading**Example Problems****Chapter 10: Flat Plates**

**Table 24**Formulas for Flat Circular Plates of Constant Thickness**Table 24a**Formulas for Maximum Deflection and Maximum Stress for Flat Circular Plates of Constant Thickness with Large Deflection**Table 26**Formulas for Maximum Deflection and Maximum Stress in Flat Plates with Straight Boundaries and Constant Thickness**Table 26a**Formulas for Flat Rectangular Plates with Constant Thickness under Uniform Load Producing Large Deflection**Example Problems****Chapter 11: Columns and Other Compression Members**

**Table 27**Formulas for Short Prisms Loaded Eccentrically; Stress Reversal Impossible**Example Problems****Chapter 12: Shells of Revolution; Pressure Vessels; Pipes**

**Table 28**Formulas for Membrane Stresses and Deformations in Thin-walled Pressure Vessels**Table 29**Shear, Moment, Slope and Deflection Formulas for Long and Short Thinwalled Cylindrical Shells under Axisymmetric Loading**Table 30**Formulas for Bending and Membrane Stresses and Deformations in Thinwalled Pressure Vessels**Table 31**Formulas for Discontinuity Stresses and Deformations at the Junctions of Shells and Plates**Table 32**Formulas for Thick-walled Vessels under Internal and External Loading**Example Problems****Chapter 13: Bodies under Direct Bearing and Shear Stress**

**Table 33**Formulas for Stress and Strain Due to Pressure on or Between Elastic Bodies**Example Problems****Chapter 14: Elastic Stability**

**Table 34**Formulas for Elastic Stability of Bars, Rings and Beams**Table 35**Formulas for Elastic Stability of Plates and Shells**Example Problem****Chapter 15: Dynamic and Temperature Stresses**

**Table 36**Natural Frequencies of Vibration for Continuous Members**Example Problems****Appendices: Table 37Factors of Stress Concentration for Elastic Stress**

**Table of Physical Properties for Selected Materials**