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.

The column A moves to the right with variable speed V(t)=4*Vo*t+c. Calculate the angular velocity and the angular acceleration of the beam B. The beam is pinned at one end. (c is constant).

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 200mm from the center.

Determine the diagrams for moment and shear for the following pinned at two ends beam for a triangular load. Total length 12m. EI constant. Units KN,m.