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Curriculum Map

Course: Strength of Materials

Author
Ali Sadegh, Editor, Marks' Standard Handbook for Mechanical Engineers, 11th Edition

Course Topics

  • Mechanical Properties of Materials
  • Stress Concentration
  • Fatigue and Fracture
  • Mechanics of Materials
  • Deflection of Beams
  • Continuous beams with several supports
  • Torsion
  • Buckling of Columns
  • Curved Beams
  • Thin-walled and thick-walled cylinders
  • Failure theories and Plasticity

Mechanical Properties of Materials

Relevant Material Type Description Source
Mechanical Properties of Materials Text   Marks' Standard Handbook for Mechanical Engineers
Stress-Strain Diagrams Text   Marks' Standard Handbook for Mechanical Engineers
Typical mechanical properties at room temperature Table Table 5.1.1 Marks' Standard Handbook for Mechanical Engineers
Typical metal fractures in tension Figure Fig. 5.1.3 Marks' Standard Handbook for Mechanical Engineers
True stress-strain curve for 20oC annealed mild steel Figure Fig. 5.1.5 Marks' Standard Handbook for Mechanical Engineers
Elastic constants of metals Table Table 5.1.3 Marks' Standard Handbook for Mechanical Engineers

Stress Concentration

Relevant Material Type Description Source
Stress-Strain Diagrams Text   Marks' Standard Handbook for Mechanical Engineers
Flat plate with semicircular fillets and grooves or with holes Figure Fig. 5.1.6: I, II, and III are in tension or compression; IV and V are in bending. Marks' Standard Handbook for Mechanical Engineers
Stress Concentrations in Flat Plates Video This video uses Figure 5.1.6 to compute the stress concentration factor for a flat plate under axial load. Marks' Standard Handbook for Mechanical Engineers
Flat plate with grooves, in tension Figure Fig. 5.1.7 Marks' Standard Handbook for Mechanical Engineers
Flat plate with fillets, in tension Figure Fig. 5.1.8 Marks' Standard Handbook for Mechanical Engineers
Flat plate with grooves, in bending Figure Fig. 5.1.9 Marks' Standard Handbook for Mechanical Engineers
Flat plate with fillets, in bending Figure Fig. 5.1.10 Marks' Standard Handbook for Mechanical Engineers
Flat plate with angular notch, in tension or bending Figure Fig. 5.1.11 Marks' Standard Handbook for Mechanical Engineers
Grooved shaft in torsion Figure Fig. 5.1.12 Marks' Standard Handbook for Mechanical Engineers
Filleted shaft in torsion Figure Fig. 5.1.13 Marks' Standard Handbook for Mechanical Engineers

Fatigue and Fracture

Relevant Material Type Description Source
Fatigue Text   Marks' Standard Handbook for Mechanical Engineers
The S-N diagrams from fatigue tests Figure Fig. 5.1.17, fatigue S-N curve for different materials Marks' Standard Handbook for Mechanical Engineers
Typical approximate fatigue limits for reversed bending Table Table 5.1.5 Marks' Standard Handbook for Mechanical Engineers
Creep Text Explains the creep phenomenon Marks' Standard Handbook for Mechanical Engineers
Creep rates for 0.35% C steel Figure Fig. 5.1.20 Marks' Standard Handbook for Mechanical Engineers
Stresses for given creep rates and temperatures Table Fig. 5.1.16 Marks' Standard Handbook for Mechanical Engineers
Hardness Text Explains the hardness scales Marks' Standard Handbook for Mechanical Engineers
Hardness scales Figure Fig. 5.1.23 Marks' Standard Handbook for Mechanical Engineers
Test specimen Figure Fig. 5.1.25 Marks' Standard Handbook for Mechanical Engineers
Charpy V-notch impact specimens Figure Fig. 5.1.26 Marks' Standard Handbook for Mechanical Engineers
Room-Temperature KIc values on high-strength materials Table Table 5.1.4, fracture mechanics Marks' Standard Handbook for Mechanical Engineers

Mechanics of Materials

Relevant Material Type Description Source
Mechanics of Materials Text   Marks' Standard Handbook for Mechanical Engineers
Simple Stresses and Strains Text Includes shear stress formulas Marks' Standard Handbook for Mechanical Engineers
Shear stress for different cross sections Figure Fig. 5.2.10 Marks' Standard Handbook for Mechanical Engineers
Example 1 Example   Marks' Standard Handbook for Mechanical Engineers
Example 2 Example   Marks' Standard Handbook for Mechanical Engineers
Thermal stress example Example Thermal Stress Marks' Standard Handbook for Mechanical Engineers
Solved problems and examples of shear and bending stresses (diagrams) Example Solved problems Schaum's Outline of Strength of Materials
Combined Stresses Text   Marks' Standard Handbook for Mechanical Engineers
Resilience per unit of volume U p Table Table 5.2.1, unit rupture work or Resilience Marks' Standard Handbook for Mechanical Engineers
Basic Mohr's Circle Figure Fig. 5.2.14 Marks' Standard Handbook for Mechanical Engineers
Basic Mohr's Circle Figure Fig. 5.2.15 Marks' Standard Handbook for Mechanical Engineers
Mohr's circle for different cases Figure Fig. 5.2.16 Marks' Standard Handbook for Mechanical Engineers
Mohr's circle for different cases Figure Fig. 5.2.17 Marks' Standard Handbook for Mechanical Engineers
Mohr's circle for different cases Figure Fig. 5.2.18 Marks' Standard Handbook for Mechanical Engineers
Mohr's circle for different cases Figure Fig. 5.2.19 Marks' Standard Handbook for Mechanical Engineers
Mohr's circle for different cases Figure Fig. 5.2.20 Marks' Standard Handbook for Mechanical Engineers
Mohr's circle for different cases Figure Fig. 5.2.21 Marks' Standard Handbook for Mechanical Engineers
Mohr's circle for different cases Figure Fig. 5.2.22 Marks' Standard Handbook for Mechanical Engineers
Mohr's circle for different cases Figure Fig. 5.2.23 Marks' Standard Handbook for Mechanical Engineers
Combined Loading Figure   Schaum's Outline of Strength of Materials
Solved problems and examples of combined loading Example Solved problems Schaum's Outline of Strength of Materials

Deflection of Beams

Relevant Material Type Description Source
Beams Text   Marks' Standard Handbook for Mechanical Engineers
Beams of uniform cross section, loaded transversely Figure Table 5.2.2, reactions, bending-moment, shear Marks' Standard Handbook for Mechanical Engineers
Beams of uniform cross section, loaded transversely (continued) Figure Table 5.2.2 (continued), and deflection of beams Marks' Standard Handbook for Mechanical Engineers
Beams of uniform cross section, loaded transversely (continued) Figure Table 5.2.2 (continued) Marks' Standard Handbook for Mechanical Engineers
Beams of uniform cross section, loaded transversely (continued) Figure Table 5.2.2 (continued) Marks' Standard Handbook for Mechanical Engineers
Uniformally distributed loads on simply supported rectangular beams 1-in wide Table Table 5.2.3, maximum safe load on rectangular wooden beams Marks' Standard Handbook for Mechanical Engineers
Approximate safe loads in pounds (kgf) on steel beams, simply supported, single span Table Table 5.2.4, maximum safe load on rectangular steel beams Marks' Standard Handbook for Mechanical Engineers
Design of a steel beam Video This video considers the design of a steel beam using Table 5.2.4. Both stress and displacement are computed. Marks' Standard Handbook for Mechanical Engineers
Coefficients for correcting values in Table 5.2.4 for various methods of support and of loading, single span Table Table 5.2.5, relates to Table 5.2.4 Marks' Standard Handbook for Mechanical Engineers
Properties of various cross sections Table Table 5.2.6, moment of Inertia of x-sections Marks' Standard Handbook for Mechanical Engineers
Properties of various cross sections (continued ) Table Table 5.2.6, moment of Inertia of x-sections (continued) Marks' Standard Handbook for Mechanical Engineers
Properties of various cross sections (continued ) Table Table 5.2.6, moment of Inertia of x-sections (continued) Marks' Standard Handbook for Mechanical Engineers
Properties of various cross sections (continued ) Table Table 5.2.6, moment of Inertia of x-sections (continued) Marks' Standard Handbook for Mechanical Engineers
Hollow square-section fixed-fixed beam analysis Video This video uses Tables 5.2.2 and 5.2.6 to compute the stress in a fixed-fixed beam with a hollow square cross section. Marks' Standard Handbook for Mechanical Engineers
Example of Fig. 5.2.35 Example   Marks' Standard Handbook for Mechanical Engineers
Example of Fig. 5.2.36 Example   Marks' Standard Handbook for Mechanical Engineers
Fig. 5.2.36 Figure Figure of the example Marks' Standard Handbook for Mechanical Engineers
Deflection of Beams Text   Schaum's Outline of Strength of Materials
Beam deflection formulas Table Table 8-1 Schaum's Outline of Strength of Materials
Solved problems and examples of deflection of beams Example Solved problems Schaum's Outline of Strength of Materials

Continuous beams with several supports

Relevant Material Type Description Source
Continuous Beams Text   Marks' Standard Handbook for Mechanical
Continuous beam shear and moment diagrams Figure Fig. 5.2.44 Marks' Standard Handbook for Mechanical
Position of the maximum shear and moment Figure Fig. 5.2.45 Marks' Standard Handbook for Mechanical
Uniformly loaded continuous beams over equal spans Table Table 5.2.8 Marks' Standard Handbook for Mechanical
Moment and shear in uniformly loaded continuous beams Video The moment and shear diagrams for a uniformly loaded continuous beam are developed with the use of Table 5.2.8 and Figure 5.2.46. Marks' Standard Handbook for Mechanical
Beams of uniform strength (in bending) Table Table 5.2.9 Marks' Standard Handbook for Mechanical
Beams of uniform strength (in bending) (continued) Table Table 5.2.9 (continued) Marks' Standard Handbook for Mechanical
Statically Indeterminate Elastic Beams Text   Schaum's Outline of Strength of Materials
Solved problems and examples of indeterminate beams Example Solved problems Schaum's Outline of Strength of Materials

Torsion

Relevant Material Type Description Source
Torsion Text   Marks' Standard Handbook for Mechanical Engineers
Torsion of a circular bar Figure Fig. 5.2.49 Marks' Standard Handbook for Mechanical Engineers
Factors for torsion of rectangular shafts Table Table 5.2.10 (Fig. 5.2.51) Marks' Standard Handbook for Mechanical Engineers
Torsion of a solid non-circular shaft Video This video illustrates the use of Table 5.2.10 for computing the stress in a non-circular shaft in torsion. Marks' Standard Handbook for Mechanical Engineers
Torsion of Shafts of Various Cross Sections Table Table 5.2.11 Marks' Standard Handbook for Mechanical Engineers
Torsion Text   Schaum's Outline of Strength of Materials
Solved problems and examples of torsion of circular bar Example Solved Problems Schaum's Outline of Strength of Materials

Buckling of Columns

Relevant Material Type Description Source
Columns Text   Marks' Standard Handbook for Mechanical Engineers
Strength of round-ended columns according to Euler's Formula Table Table 5.2.12 Marks' Standard Handbook for Mechanical Engineers
Typical short-column formulas Table Table 5.2.13 Marks' Standard Handbook for Mechanical Engineers
Eccentric Loads Text   Marks' Standard Handbook for Mechanical Engineers
Short blocks are loaded eccentrically Figure Fig. 5.2.54 Marks' Standard Handbook for Mechanical Engineers
Kerns (shaded) area of different cross sections Figure Fig. 5.2.57, Kerns is the area around the center of gravity of a cross section Marks' Standard Handbook for Mechanical Engineers
Columns Text   Schaum's Outline of Strength of Materials
Columns with various end conditions Figure Fig. 10-3 Schaum's Outline of Strength of Materials
Eccentrically Loaded Columns Text   Schaum's Outline of Strength of Materials
Design Formulas for Columns Having Intermediate Slenderness Ratios Text   Schaum's Outline of Strength of Materials
Solved problems and examples of columns Example Solved Problems Schaum's Outline of Strength of Materials

Curved Beams

Relevant Material Type Description Source
Curved Beams Text   Marks' Standard Handbook for Mechanical Engineers
Curved beam Figure Fig. 5.2.58 Marks' Standard Handbook for Mechanical Engineers
Curved beam example Example Ring of rectangular cross-section Marks' Standard Handbook for Mechanical Engineers
Analytical expressions for Z Table Table 5.2.16 Marks' Standard Handbook for Mechanical Engineers
Analysis of a concentric curved beam Video This video illustrates the use of Table 5.2.16 and Figures 5.2.58 and 5.2.59 for the analysis of a concentric circular curved beam. Marks' Standard Handbook for Mechanical Engineers
Crescent-Beam position stress factors Table Table 5.2.18, associated with Fig. 5.2.60 Marks' Standard Handbook for Mechanical Engineers
Boundary at central section Figure Fig. 5.2.60, referred to Table 5.2.18 Marks' Standard Handbook for Mechanical Engineers

Thin-walled and thick-walled cylinders

Relevant Material Type Description Source
Cylinders and Spheres Text   Marks' Standard Handbook for Mechanical Engineers
Radial external pressure with fixed edges Figure Fig. 5.2.64, as vacuum tanks and submarines Marks' Standard Handbook for Mechanical Engineers
Radial and end external pressure with simply supported edges Figure Fig. 5.2.65, as vacuum tanks and submarines Marks' Standard Handbook for Mechanical Engineers
Radial and end external pressure with fixed edges Figure Fig. 5.2.66, as vacuum tanks and submarines Marks' Standard Handbook for Mechanical Engineers
Example Example   Marks' Standard Handbook for Mechanical Engineers
Thin-Walled Pressure Vessels Text   Schaum's Outline of Strength of Materials
Solved problems and examples of pressure vessels Example Solved problems Schaum's Outline of Strength of Materials

Failure theories and Plasticity

Relevant Material Type Description Source
Theories of Failure Text   Marks' Standard Handbook for Mechanical Engineers
Constants K and n for sheet materials Table Table 5.2.21, plastic-range Stress = K(strain)^n Marks' Standard Handbook for Mechanical Engineers
Example Example   Marks' Standard Handbook for Mechanical Engineers

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