Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Example Nonlinear Programming Problems Problem 1. (Difficulty level: 2) (1) Derive the model for a uniform column of tubular section to carry a compressive

image text in transcribed

Example Nonlinear Programming Problems Problem 1. (Difficulty level: 2) (1) Derive the model for a uniform column of tubular section to carry a compressive load P=2500kg for minimum cost. The column is made up of a material that has a yield stress (y) of 500kgf/cm, modulus of elasticity (E) of 0.85x10 kgf/cm, and density (p) of 0.0025kg/cm. The length of the column is 250cm. The stress induced in the column should be less than the buckling stress as well as the yield stress. The mean diameter of the column is restricted to lie between 2 and 14cm, and column with thickness outside the range 0.2 to 0.8cm are not available in the market. The cost of the column includes material and construction costs and can be taken as 7W+2d, where Wis the weight in kgr and d is the mean diameter of the column in cm. (2) Design d and t to minimise the cost (use at least two different optimisation techniques/software to find the solution and compare the results); (3) Discuss the effects of d and t on the cost, and the other important factors; (4) Based on the solution and discussion, prepare a report which provides detailed design guideline for the column design (assuming your colleagues will use this guideline in their designs of this type of columns). P Op. do Section A-A

Step by Step Solution

There are 3 Steps involved in it

Step: 1

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

Numerical Methods For Engineers

Authors: Steven C. Chapra, Raymond P. Canale

5th Edition

978-0071244299, 0071244298

More Books

Students also viewed these Mechanical Engineering questions

Question

CL I P COL Astro- L(1-cas0) Lsing *A=2 L sin(0/2)

Answered: 1 week ago

Question

Propose a reasonable mechanism for the following reaction. OH

Answered: 1 week ago