## Education (67)

### Children categories

### Average shear stress in pressure vessel

A pressure-vessel head is fabricated by gluing the circular plate to the end of the vessel. If the vessel sustains an internal pressure of 500 kPa, determine the average shear stress in the glue.

### Temperature Change

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.)

### 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).