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Calculate the stresses acting on an element oriented at an angle θ= 60° from the x axis, where the angle θ is positive when counterclockwise. An element in plane stress is subjected to stress...

Read MoreCalculate the member diagrams for the point load P for the pinned beam at two ends. Solution From the equilibrium of forces we calculate the reactions F1,F2,F3. We make a section...

Read MoreCalculate the equation of the elastic curve .Determine the pinned beam’s maximum deflection. EI constant. Solution From the previous exercise (Calculation example-Calculate member di...

Read MoreCalculate 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 ela...

Read MoreCalculate 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...

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