# Essentials of Mechanical Stress Analysis by Amir Javidinejad

Fundamentals of fabric EngineeringIntroductionThe primary TermsThe fabric PropertiesProblemsReferencesStress and pressure RelationshipIntroductionStress2-D Stresses on an prone AnglePrincipal StressesMohr's CircleStrainPlane pressure and StrainPrincipal StrainsStress in line with the Measured StrainsStress country in Polar CoordinatesStress box round round Holes in skinny PlatesProblemsReferencesStress Due to Read more...

summary: fundamentals of fabric EngineeringIntroductionThe primary TermsThe fabric PropertiesProblemsReferencesStress and pressure RelationshipIntroductionStress2-D Stresses on an prone AnglePrincipal StressesMohr's CircleStrainPlane pressure and StrainPrincipal StrainsStress in accordance with the Measured StrainsStress country in Polar CoordinatesStress box round round Holes in skinny PlatesProblemsReferencesStress because of strain ConditionsIntroductionContact StressesThin-Walled round strain VesselsThin-Walled Cylindrical strain VesselsThick-Walled CylinderProblemsReferencesFailure CriteriaIntroduc

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In addition, the topics of safety factors and stress margin calculations of safety are briefly discussed in this chapter. 2 Material Failure Failure is defined as the inability of a structural component to withhold applied loading. Failure can be based on one or several factors, but normally in engineering it is based on stress, strain, deflection, crack length, or the number of residual life cycles. In metals, failure criteria are typically based on stress; in composites, failure criteria are based on strain.

The vessel is internally pressurized to 1000 psi. Determine the hoop and longitudinal stresses on the vessel walls if the vessel is made of steel ASTM A514. 15-inch thick copper for external and internal layers, respectively. The vessel is 20 inches long. The vessel’s temperature is raised 20°F. What is the contact pressure generated between the two layers of the vessel? For the steel vessel shown here, the physical dimensions are h = 90 feet, r = 9 feet. For this vessel to have an allowable internal pressure of 20,000 psi, determine the vessel’s required thickness.

For metallic structural components that are made from ductile materials, which have an elongation capability of more than 5%, the yielding is the criteria for failing. However, for components made from brittle materials, which have elongation capability of less than 5%, the fracture is the criteria for failing. There are two known yield failure criteria: the maximum shear stress criterion and the maximum distortion energy criterion (von Mises). Also, there are two known fracture failure criteria: the maximum normal stress criterion and the Mohr’s criterion.