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Calculation Example – Buckling of Column (EC3).
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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.

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Calculation Example – Plastic Neutral Axis.
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Find the location of the PNA (plastic neutral axis) from top for the following section.

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Calculation Example – Section Modulus S
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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.

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Calculation Example – Friction
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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).

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Calculation Example – Simple harmonic vibration part 2
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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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Calculation Example – Simple harmonic vibration part1
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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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Calculation Example – Critical load.
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A solid rod has a diameter of 20 mm and is 600 mm long. It is made of a material that can be modeled by the stress–strain diagram shown in the figure below. If it is used as a pin-supported column, determine the critical load.