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 500 mm x 50 mm flange plates and a 500 mm x 50 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 2000 kN/m.

A pressure-vessel head is fabricated by gluing the circular plate to the end of the vessel. If the vessel sustains an internal pressure of 500 kPa, determine the average shear stress in the glue.

The beam is fixed at end B and free at end A. It is loaded at end A with the concentrated force 4F. At the same time there is a temperature change ΔT. Calculate the length change Δx. (Modulus of elasticity E, Cross section area A_{S }, Temperature coefficient.)

The angular velocity of the circle is defined by the equation ω=3t^{2}+2 rad/sec where t in sec. Determine the magnitudes of the velocity and acceleration of point B on the circle of 1m diameter when t=10 sec.

The stress-strain diagram for a steel rod is shown and can be described by the equation ε=0.20(1e-06)σ+0.20(1e-12)σ^{3} where s in kPa. Determine the yield strength assuming a 0.5% offset.

A steel bar with diameter d = 14 mm is subjected to a tensile load P = 10 kN (see figure). (a) What is the maximum normal stress σ_{max} in the bar? (b) What is the maximum shear stress τ_{max}?

Find the axial forces of the members 2-3, 9-3 of the truss for the given loads.

**Calculate the max stress because of torsional moment on the outer layer of a steel hollow rod when two forces act on it from a distance of 50mm from the center.**

**Check the shear connection for the IPE450-S275 for the design shear V _{Ed}=500KN. Bolts M20-8.8, plate thickness t=20mm.**

Calculate the distance x for locating point load so that the moment on the beam at point B is zero.