Posted inSolid Mechanics
Macaulay’s method
a.)Macaulay functions are used to represent quantities that “begin” at some particular point on the…
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Moment area method
a.)First Moment-Area Theorem The angle between the tangents, denoted, is equal to the difference between and …
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Differential equation of the deflection curve
a.) To obtain the equation of the deflection curve, we must express the deflection vas a…
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Deflection of Beams: Introduction
a) When a beam with a straight longitudinal axis is loaded by lateral forces, the axis…
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Composite beams
a) Beams that are fabricated of more than one material are called composite beams. b) ii) Assumptions…
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Shear stresses in beams of rectangular cross section
a) When a beam is in pure bending, the only stress resultants are the bending moments…
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Normal Stresses in Beams (Linearly Elastic Materials)
a) ) b) Now combining Strain curvature relation and Hooke’s Law we can get the Normal Stresses In…
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Pure bending
a) i) Curvature is a measure of how sharply a beam is bent ii) If the load…
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Stresses in Beams
Shear Force This result means that an abrupt change in the shear force occurs at…
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Hooke’s law for plane stress
x direction due to is and due to is. StrainStressx-directiony-directionz-direction Similarly for shear stress b.)Similarly Hooke’s law for…