Calculation Examples
Allowable shear force of the girder
Calculate the maximum allowable shear force Vmax for the girder. The welded steel girder is having the cross section shown in the figure. It is fabricated of two 500 mm x 50 mm flange plates and a 50...
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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. S...
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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 elast...
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Calculate angular velocity, angular acceleration
The angular velocity of the circle is defined by the equation ω=3t2+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=1...
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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)σ3 where s in kPa. Determine the yield strength assuming a 0.5% offset. Solut...
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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 σmax in the bar? (b) What is the maximum shear stress τmax? Solution...
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Calculate the Axial Forces of the Truss Members
Find the axial forces of the members 2-3, 9-3 of the truss for the given loads. Solution From the equilibrium of the forces on the truss we have: ΣFx = 0 -> H1 = 0 ΣM1 = 0 -...
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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. Solution T = 300KN * 0.1 = 30KNm P...
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Shear bolt connection EC3
Check the shear connection for the IPE450-S275 for the design shear VEd=500KN. Bolts M20-8.8, plate thickness t=20mm. Solution e 1=60mm > 1.2*do=1.2*22=26.4mm e 2=50mm > 1.2*do=1.2*22=26.4m...
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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. Solution ∑MA=0 -> (L/2)*2P-F2*(L-x)+P*L=0 -> F2=-(2P)*L/(x-L) &...
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