Calculation Examples
Calculation Example – Cantilever Beam, Temperature change
The beam is fixed at end B and free at end A. It is loaded at end A with the concentrated force 2F. At the same time there is a temperature change ΔT. Calculate the length change Δx. (Modulus of elast...
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Calculation Example – Cantilever Beam
Find the member diagrams for the triangular loading. SOLUTION We calculate the reactions at the fixed end A.
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Calculation Example – Design bolted connection of tension plates (EC3)
Check the following connection for tension force NEd=600KN. S275, bolts M20/5.6. Shear at full section. Solution d0=22mm p1= 65mm>2.2d0 e1=55mm>1.2d0 p2=70mm>2.4d0 e2=50mm>1.2d0 &...
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Calculation Example – Find the Center of Gravity (Surface)
Find the center of gravity for the following surface. Solution. We choose an axis system Oxy and divide the surface in two sections ABCD, EDGF. &...
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Calculation Example – Frame analysis – Uniform Load
Calculate the reactions and member forces. Solution We calculate the reactions. Section 1- 0<x<3 m Section 2 - 0<x<3 m Section 3 - 0<x<...
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Calculation Example – Frame analysis.
Calculate the reactions and member forces. Solution We calculate the reactions. Section 1 0<x<3 m Section 2 0<x<3m Section 3 0<x<3 m With the above values w...
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Calculation Example – Beam with inner hinge (Part B). Calculate the member diagrams.
Calculate the member diagrams. Solution We have already calculated the external beam reactions from the previews exercise (Beam with inner hinge (Part A)). We will calculate the member dia...
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Calculation Example – Beam with inner hinge (Part A). Find the Reactions
Calculate the reactions of the beam for the external loads. Solution This beam has an inner hinge at Joint G. We make a section at Joint G to calculate the reactions. Global Axis for part...
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Calculation Example - Calculate the member diagrams for the beam
Calculate the member diagrams for Axial Force N, Shear Force Q and bending Moment M for the following beam.
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Calculation Example - Calculate the member diagrams
Calculate the member diagrams for Axial Force N, Shear Force S and bending Moment M for the following frame. Solution The frame is symmetrical in shape, loading and constraints. So we ca...
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