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=3t²+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)σ³ 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.