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Calculate the stiffness matrix for the frame structure. It is assumed that the members do not distort axially. The frame has three joint degrees of freedom. At end A, B is rigidly fixed to the ground.

Calculate the modal frequencies for the shear frame at the previous exercise Undamped free Vibration (Part A). The story weight of the first floor is W1=60 KN end at the second floor W2=50 KN. The cross section of the columns is circular with radius r1=0.5m at the first floor and r2=0.2m at the second floor. The columns are considered to have no mass. (Modulus of elasticity E=2.1*107 KN/m2, Story height h1=5m, h2=3m.)

Calculate the Mass and the Stiffness matrix for the shear frame below. The mass is lumped at each level. The supports at end A,B are fixed . The columns are considered to have no mass. (Modulus of elasticity E, Storey masses m1,m2, Column moment of inertia I1,I2. )

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 elasticity E, Cross section area AS , Temperature coefficient a.)

Monday, 25 July 2016 10:09

Calculation Example – Cantilever Beam Featured

Find the member diagrams for the triangular loading.

Check the following connection for tension force NEd=600KN. S275, bolts M20/5.6. Shear at full section.

Find the center of gravity for the following surface.

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