STRUCTURAL INTEGRITY Home Work No

STRUCTURAL INTEGRITY

Home Work No. 1.1

STRENGTH AND STIFFNESS EVALUATION OF 3D FRAME

Evaluate the strength and stiffness of given 3D frame using classical and Finite Element (FE) methods (program SolidWorks Simulation):

1. Calculate internal loads M, T, Q and N acting on the elements and draw their diagrams;

2. Calculate the maximum normal and shear stresses at the point of the dangerous cross-section;

3. For the most loaded point of dangerous cross-section write stress tensor by evaluating the stresses caused by internal moments and axial force;

4. For the same point as in item 3 calculate the principal stresses by evaluating the stresses caused by internal moments and axial force (for classical approach apply Mohr circles);

5. For the same point as in item 3 calculate factors of safety by applying three different strength criteria (Maximum Normal Stress / Rankin; Maximum Tangential Stress / Tresca / Stress Intensity and von Mises);

6. Calculate the linear horizontal displacement of the common point between elements b and c;

7. Compare and comment on the results obtained using the classical and finite element method

Scheme:

Data

Young's modulus of steel E = 2-10¹¹ Pa, Shear modulus G = 0,8- 10¹¹ Pa, Cross-section of elements circular pipe 48.3 x 5 mm (external diameter = 48.3 mm).