## Education (65)

### Children categories

### Calculate angular velocity, angular acceleration

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.

### How to calculate yield strength

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.

### Calculate the Maximum Shear Stress

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}?

### Calculate the Axial Forces of the Truss Members

### Torsional Moment-Stress

**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.**

### Shear bolt connection EC3

**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 location of point load

Calculate the distance x for locating point load so that the moment on the beam at point B is zero.

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Calculation Example – Angular acceleration, angular velocity.
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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).

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Calculation Example – Torsional moment-Stress.
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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.

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Calculation Example – Member Diagram. Triangular load.
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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.