Calculation Examples
Calculation Example – Plastic Neutral Axis.
Find the location of the PNA (plastic neutral axis) from top for the following section. Solution The plastic neutral axis is defined as the axis that splits the cross section in such a way t...
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Calculation Example - Calculate the Axial Forces of the Truss Members.
Find the axial forces of the members 2-3, 9-3 of the truss for the given loads. Solution From the equilibrium of the forces on the truss we have: We consider the cross section T s...
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Calculation Example – Calculate the moments of inertia Ix and Iy.
Determine the moments of inertia Ix and Iy of the Z section. The origin of coordinates is at the centroid. Solution Determine the moments of inertia Ix and...
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Calculation Example – Internal forces.
Determine the internal forces at point C. Solution We calculate the reaction R1,R2. From the equilibrium of forces. We calculate the internal forces at point C.
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Calculation Example - Calculate the deflection. Castigliano Theorem.
Calculate the deflection at point D for the point load 2P for the pinned beam at two ends. Solution From the equilibrium of forces we calculate the reactions RA,RB. Strain En...
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Calculation Example – Determine the shear force and moment.
Determine the shear force and moment acting at a section passing through point C on the beam. Solution From the equilibrium of forces we calculate the reactions Ay,By. &nb...
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Calculation Example – Determine the magnitudes of F1,F2.
Determine the magnitudes of F1,F2 and the angle Θ so that the external forces and the external moment create a zero resultant force and moment at the wheel (Radius=3m, units KN,m, degrees). &nb...
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Calculation Example - Calculate the location of support.
Calculate the distance x for locating roller support so that the moment on the beam at point B is zero. Solution
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Calculation Example - Annular cross section, Stress.
A strain gage is located at D on the surface of the rod AB. The average normal stress on the rod is σ when the rod is subjected to forces F as on the sketch. Assume that the cross section at D is annu...
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Calculation Example – Allowable shear force for the girder.
Calculate the maximum allowable shear force Vmax for the girder. The welded steel girder is having the cross section shown in the figure. It is fabricated of two 300 mm x30 mm flange plates and a 300...
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