Study Guide

Objective

After completing the course, the student can:
- calculate the center of gravity of the composite cross section
- calculate the moment of inertia of the cross section for a composite cross section
- calculate the bending and shear stress distribution over the entire cross-section
- stress addition
- analyze torsion
- distinguish between material and instability violations
- calculate the degree of utilization for cooperative normal force and bending moments
- calculate buckling taking into account different buckling lengths in different rods for rods, and know how buckling length is defined
- calculate plastic bending resistance for a welded cross-section
- produce the most common loads according to Eurocode 1991
- calculate common load case combinations according to Eurocode 1990 + NA (FI)

Content

The basics of elasticity theory
- Instability
- Pull and push
- Center of gravity calculation
- Steiner's theory
- Tension distribution across cross sections for bending and shear stresses
- Beam construction (optimization) with associated calculations
- Skew bending
- Torsion

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

Familiar with central concepts in the theory of elasticity. Knows how instability phenomena like buckling and tilting affect the bearing capacity of rods.
Knows how, according to EN1991, to produce a self-weight, payload, snow load for a building. Also familiar with what affects the size of the wind load for a building according to EN1991. Familiar with the principles of load calculation. Familiar with how different types of loads affect the same load case for a building at the same time.
Can produce the stress distribution over a cross section, under the influence of bending, skew bending or cross force, for rectangular solid cross section. Has insights into how the cutting forces arise due to eccentric load. Understands the meaning of tension addition.
Can calculate the location of the center of gravity, as well as the cross-sectional inertia moments for cross-sections composed of square surfaces. Can check if a given rectangular solid cross section has sufficient load-bearing capacity for cracking

Assessment criteria, good (3)

Is familiar with the theory of elasticity theory. And know both elasticity theory and plasticity theory. Know what affects the tendency of the rods to crack and tilt. Familiar with the application of the superposition principle.
Can independently produce self-weight, payload, snow load and wind load for a simple building, according to EN1991. Can produce the most common load combinations according to EN1990.
Can produce the stress distribution over a cross section, under the influence of bending, skew bending or cross force, for rectangular solid cross sections and for I cross section Can calculate the cutting forces that arise due to eccentric load. Can also perform tension addition for normal force + bending moment.
Can calculate the location of the center of gravity, as well as the cross-sectional inertia moment of the cross-section composed of varying known sub-surfaces. Can choose a suitable cross-section with respect to cooperative normal force and bending moment

Assessment criteria, excellent (5)

Is well acquainted with the theory of elasticity theory. Understands the difference between elasticity theory and plasticity theory. Can design rods and its attachment to reduce the risks of instability phenomena such as cracking and tilting.
Is well acquainted with the calculation of the structures' own weight, and is able to produce the own weight, payload, snow load and wind load, according to EN1991. Have good knowledge in load counting. Have good insights on how to produce different load case combinations, according to EN1990 to get the design load cases.
Can produce the stress distribution over a cross section, under the influence of cooperative cutting forces in different directions for different structural elements. Can also optimize the cross section design in view of the stresses.
Can optimize the design of a composite cross-section, with respect to center of gravity and moment of inertia. Can also optimize a cross-section with regard to the cross-sectional stresses of composite nature, which may include cracking.

Qualifications

Basics in Construction Statistics

Further information

An engineering degree within structural design requires a grade of 3 or more