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.

Check the shear connection for the IPE450-S275 for the design shear VEd=300KN. Bolts M20-8.8, plate thickness t=15mm.

Check the column for buckling according to EC3. HEB300/S275 and axial force NEd=1500KN. The column (L=12m) is pinned at the two far ends (strong axis y-y). The column is pinned every 4m at the weak axis z-z.

Find the location of the PNA (plastic neutral axis) from top for the following section.

A simple beam pinned at two ends is loaded as shown in the figure. Calculate the required section modulus S if σallow =1500 ΚΝ/m2, L =24 m, P =2000 KN, and q = 400 KN/m.

The friction coefficient is c1=0.2 between two bodies A,B. The friction coefficient is c2=0.18 between body B and the ground. If mass mA=0.5kgr and mB=1kgr , what is the minimum force P so that the two bodies start sliding?(we consider that there is no friction at the rope).

A single point with mass m is vibrating harmonically. The displacement x from point of balance is governed by the differential equation