Calculation Examples
Calculation Example – Minimum allowable Diameter.
Determine the minimum diameter of the rod. The axial tensile force is P=10KN. The allowable stresses in tension and shear is 100MPa and 40MPa. Solution Maximum normal stress Maximum shear...
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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 y-y). The column is pinned every 4m at the weak ax...
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Calculation Example – Shear bolt connection EC3.
Check the shear connection for the IPE450-S275 for the design shear VEd=300KN. Bolts M20-8.8, plate thickness t=15mm. e 1=60mm > 1.2*do=1.2*22=26.4mm e 2=50mm > 1.2*do=1.2*22=26.4mm e 1, e...
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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. Solution Free body diagram ...
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Calculation Example – 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 200mm from the center. Solution T=1000KN*0.4m=400KNm Pol...
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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). Solutio...
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Calculation Example – Calculate shear stress for temperature load.
A copper bar with a rectangular cross section is held without stress between rigid supports. The temperature of the bar is raised 50°C. Determine the maximum shear stress t. (Assume α= 17.5 x 10-6/°C...
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Calculation Example – Calculate tension force using virtual work.
Calculate tension force F_AC in cable AC using virtual work for the weight of 10 KN. (The equilibrium is at φ=45 degrees) Solution If we release cable from point C , point A moves to posi...
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Calculation Example – 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 100mm from the center. Solution &nb...
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Calculation Example – Reinforced Concrete Column at Stress.
A rectangular column (400mmX400mm) is constructed of concrete and four steel reinforcing rebars. An axial force of 1000KN is subjected on the column. What is the diameter of the steel bars if the ¼ of...
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