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Stiffness matrix method and Flexibility matrix method
Rating: 4.2 out of 5(2 ratings)
9 students

Stiffness matrix method and Flexibility matrix method

A simple and complete approach to stiffness method and flexibility method
Created byTanvesh Dabholkar
Last updated 8/2021
English
English [Auto],

What you'll learn

  • Basics and concepts of stiffness matrix
  • Stiffness matrix for beam element
  • Stiffness matrix for frame element
  • Relative stiffness concept
  • Basic concepts of flexibility matrix or force method
  • Numericals on flexibility matrix
  • Truss and parabolic arch using flexibility matrix method

Course content

2 sections • 11 lectures • 3h 59m total length

  • Stiffness method structural analysis - Concepts & Basics18:57

    Learn the basics of stiffness, form stiffness, and stiffness matrix concepts by analyzing forces, unit deflection and unit rotation, and reactions in beam structures.

  • Beam Element Stiffness matrix18:15

    Learn to construct the beam element stiffness matrix by applying unit displacements, identifying forces and moments, and assembling the four-column matrix with correct sign conventions.

  • Plane Frame Element Stiffness matrix20:28

    Explore how to construct the plane frame element stiffness matrix by defining positive forces and moments, numbering forces, computing unit displacements, and remembering nine key matrix elements through quadrant copying.

  • Stiffness Method Numerical 131:42

    Explore the stiffness matrix method to solve indeterminate beam problems, assembling element matrices, applying joint forces, computing reactions, and predicting joint deflections.

  • Stiffness matrix method Portal Frame22:43

    Apply the stiffness matrix method to portal frames, solving for joint rotations, moments, and reactions using fixed supports and unit rotation steps.

  • Relative Stiffness Derivation13:50

    Derive relative stiffness for fixed and hinged end conditions using energy methods and Castellanos theorem, defining stiffness as the moment for a unit deflection or unit rotation.

Requirements

  • Basic structural concepts like force, flexural rigidity, modulus of elasticity

Description

In this course you learn the basics and concepts of stiffness method, how to develop a stiffness matrix, what is stiffness, how to develop flexibility matrix and various numericals.

Stiffness matrix method is one of the popular methods in computational structural analysis as it is programming friendly. You can write a lot of programs in different programming languages using the concepts of stiffness matrix method.

Flexibility matrix method also called as force method is one of the basic structural analysis techniques that enables the civil engineer to analyse a structure using the energy methods like unit load method or strain energy method.

Stiffness and flexibility are opposite to each other stiffness is force based method whereas stiffness is displacement-based method

This course is suitable to all level of civil engineers be it a student or a working professional who want to brush up their knowledge. This course will enable the student to create an analytical thinking in solving structural analysis problems and develop an affinity towards structural analysis.

At the end of the course the student will be able to develop stiffness and flexibility matrix for a beam element or a plane frame element, solve complex numericals related to stiffness and flexibility matrix method and perform operations of structural analysis efficiently.

Who this course is for:

  • Beginner civil engineering students and professionals wanting to revise structural analysis concepts

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