Calculation Example – Calculate shear stress for temperature load.
A copper bar with a rectangular cross section is held without stress between rigid supports. The temperature of the bar is raised 50°C. Determine the maximum shear stress t. (Assume α= 17.5 x 106/°C and E =120 GPa.)
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
Calculation Example  Calculate the Axial Forces of the Truss Members.
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).
Calculation Example – Determine the shear force and moment.
Calculation Example  Calculate the deflection. Castigliano Theorem.
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 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.
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 annular and the outer diameter DEXT, calculate the inner diameter DINT of the cross section at D.
Calculation Example – Plane stress.
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.
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