1. Home
2. [NCC] NCC Engineering Programs

ASE361 APPLIED ELASTICITY

Course Objectives

At the end of the course, the student should be able to understand and analyze aerospace engineering components subject to different types of loading. In particular, the objective is to introduce the student to i) The methods of stress, deformation analysis in the design of aerospace engineering components, ii)  Hook's law for isotropic, orthotopic, and an-isotropic materials iii) Body forces and thermal stress analysis in the design process,iV) stress concentration v) advanced theories of bending.

Independent learning, professionalism and applications to real engineering applications and problems will be stressed throughout.

Course Content

Generalized theory of pure bending. Unsymmetric loading of beams and shear center. Shear stresses in beams of thin walled open sections. General theory for shear stresses, analysis of statically indeterminate beams. Stress, stress tensor, variation of stress within a body. 3-D stress equilibrium equations, definitions of plain stress and plain strain, three dimensional stress at a point. Transformation of stress, principal stresses in 3D, normal and shear stresses on an oblique plane. Strain displacement relations, strain compatibility equations. State of strain and transformation of strain, measurement of strain. Generalized Hooke’s law. General solution of torsion problem. Prandlt’s membrane analogy, torsion of thin-walled members of open cross sections, torsion of multiply connected thin walled sections. Fluid flow analogy. Warping function. Significance of torsion in open section thin walled members. 2-D problems in elasticity: plane stress and plane strain problems, stress function and applications. Equations of elasticity in polar coordinates. Stress concentrations and thermal stresses. Thick walled cylinders, compound cylinders. Rotating disks of constant thickness. Thermal stresses in thin disks.

Course Learning Outcomes

The achievement of the learning objectives will be measured through the students' ability to:

apply mathematical tools to solve mechanics problems, compute the stress, strain, and displacement in a beam subject to normal and shear loads, compute the stresses in shafts due to torsion, use the governing equations for 3-D and 2-D solid mechanics, compute the critical load, and stresses, Carry out a design project in a team environment and present the results.

Program Outcomes Matrix

0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution