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Showing posts with the label S.M.2-Unit 4

Stresses in Column with Biaxial Eccentric Loading

When vertical load on the column is not coincide with center of gravity of column cross section and does not act on either axis (X and Y axis), then the column is called biaxially eccentric loaded column. Load Acting Eccentric to Both Axes If the axial load P is placed at a point (ex, ey) eccentric to both x-axis and y-axis as shown in Figure, then the system can be assumed to consist of  (i) a direct compressive force P acting at the centroid,  (ii) a couple(Bending Moment) P x ey, about the x-axis and  (iii) a couple P x ex, about the y-axis.  The moment of P about these axes are respectively. Mx = P.ey and My= P.ex  As seen for the case of load acting eccentric to one axis, the stress at any point can be written as  σ = σ a   + σ bx   +   σ by   σ = P/A + Mx/Zx   +   My/Zy The maximum or minimum fiber stress will occur at the corner point A, B, C or D in the given figure. If t...

Direct and Bending Stresses

Most often, a structural member is subjected to different types of stresses that acts simultaneously. Such stresses are axial, shear, flexure, and torsion. Superposition method is used to determine the combined effect of two or more stresses acting over the cross-section of the member. Combined or compound stresses  Combined stress is defined as any possible combinations of direct stress (tensile,compressive,shear) and indirect stress (bending,torsional,thermal) developed inside the body. i.e., Combined Stress = Direct Stress + Indirect Stress. Possible combinations are as follows: 1. axial and shear 2. axial and flexural 3. axial and torsional 4. torsional and flexural 5. torsional and shear 6. flexural and shear 7. axial, torsional, and flexural 8. axial, torsional, and shear 9. axial, flexural, and shear 10. torsional, flexural, and shear 11. axial, torsional, shear, and flexural Column with Uniaxial Eccentric Loading When vertical loads do not coincide with center...