Strength of materials 1

• Use statics to determine reactions and forces in structures.
• Calculate bending moments, shear forces and normal forces in beams by the use of free body diagrams.
• Determine the stress distributions in beams, including maxima and minima.
• Use the beam differential equation to compute deflections.
• Solve beam- and frame problems, statically determinate or indeterminate, by using elementary beam solutions and the superposition principle.
• Calculate stresses and deflections in composite beams.
• Determine the moment of inertia and the bending stiffness for homogeneous beams and for composite beams.
• Use Euler columns in the dimensioning of structures.
• Calculate stresses and deformations in torsion of round bars.
• Determine shear stresses on the cross-sections of beams.

Forces, moments and force systems. The fundamental principle of statics. Loadings, reactions and sectional forces. Statically determinate and indeterminate structures. Uniaxial tensile testing. Hooke’s law for uniaxial loading and shearing. Deflection of simple elastic beams. Beams made of composite materials. Elementary beam solutions and the principle of superposition. Euler buckling. Torsion of bars and tubes with circular cross-section. Simple combined beam structures.

01020/01021/01002/01003/01005/10002/10010/10011/10001/10022, 10022 at latest at the same time.

1 module, lectures, problem solving

The course is part of the Mechanical Engineering basic studies.