### Calculation Example – Internal forces.

### 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).

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Calculation Example – Determine the shear force and moment.
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Determine the shear force and moment acting at a section passing through point C on the beam.

### 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.

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Calculation Example – Allowable shear force for the girder.
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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 mm x 30 mm web plate. The plates are joined by four fillet welds that run continuously at the length of the girder. Each weld has an allowable load in shear of 1000 kN/m.

**307**times

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Calculation Example - Annular cross section, Stress.
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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 annular and the outer diameter DEXT, calculate the inner diameter DINT of the cross section at D.

**292**times

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Calculation Example – Plane stress.
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Calculate the stresses acting on an element oriented at an angle θ= 60° from the x axis, where the angle θ is positive when counterclockwise.