Calculation Example – Angular acceleration, angular velocity.
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).
Calculation Example – Torsional momentStress.
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.
Calculation Example – Member Diagram. Triangular load.
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.
Calculation Example – Shear bolt connection EC3.
Check the shear connection for the IPE450S275 for the design shear VEd=300KN. Bolts M208.8, plate thickness t=15mm.
Calculation Example – Buckling of Column (EC3).
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 yy). The column is pinned every 4m at the weak axis zz.
Calculation Example – Plastic Neutral Axis.
Calculation Example – Section Modulus S
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.
Calculation Example – Friction
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).
Calculation Example – Simple harmonic vibration part 2
A single point with mass m is vibrating harmonically. The displacement x from point of balance is governed by the differential equation
Calculation Example – Simple harmonic vibration part1
A single point with mass m is vibrating harmonically. The displacement x from point of balance is governed by the differential equation
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