Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

3. The following structure will be made with round aluminum rods with E-68 GPa and v=0.28. The applied forces Fx and Fy are equal


image

3. The following structure will be made with round aluminum rods with E-68 GPa and v=0.28. The applied forces Fx and Fy are equal to 3 and 5 kN, respectively. Z 1m X Fx A B Fy 2m C a) Point A will move along x, y and z as a result of the applied forces. Use Castigliano's second theorem to find the displacements of point A along x and y given that the structure has a uniform diameter equal to 10 cm. Consider only bending and torsion effects. b) Find the rotation about z at point A using Castigliano's second theorem. Consider only bending and torsion effects. Note: consider solving parts a and b at the same time. When there is bending in two planes, for example, moments along x and along y for a member parallel to z, the strain energy produced by each moment can be calculated separately and added to get the total strain energy of that member.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

To solve this problem we will use Castiglianos second theorem which states that the partial derivative of the strain energy with respect to the force ... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Introductory Statistics

Authors: Prem S. Mann

8th Edition

9781118473986, 470904100, 1118473981, 978-0470904107

More Books

Students also viewed these Mechanical Engineering questions

Question

What is impulse buying? (p. 319)

Answered: 1 week ago