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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 cro...

Read MoreCalculate 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....

Read MoreThe column A moves to the right with variable speed V(t)=2*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). S...

Read MoreCheck the shear connection for the IPE450-S275 for the design shear VEd=200KN. Bolts M20-8.8, plate thickness t=10mm. Solution Every bol...

Read MoreCheck the column for buckling according to EC3. HEB300/S275 and axial force NEd=1000KN. The column (L=15m) is pinned at the two far ends (strong axis y-y). The column is pinned every 5m at the weak ax...

Read MoreCalculate the member diagrams for the uniform loading q for the pinned beam at two ends. Solution From the equilibrium of forces we calculate the reactions F1,F2,F3. We make a section 0&l...

Read MoreThe 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...

Read MoreFind the member diagrams for the triangular loading. SOLUTION We calculate the reactions at the fixed end A.

Read MoreCheck 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 &...

Read MoreFind 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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