Derive the material index for stiffness-limited design

Assignment Help Other Subject

Reference no: EM132140685

Cost Penalty Analysis

Cost penalty measures the incurred cost of saving 1 kg of mass. Cost penalty analysis is a critical procedure that helps the automotive manufactures to make decisions on materials substitution. The decision maker usually sets up an upper bound of cost penalty, below which the materials substitution is cost-effective and vice versa.

Consider the following scenario. A truck manufacturer intends on light weighting the front panel and engine's cradle, provided the extra expenses are below $5/kg. The front panel is currently made of a forged Aluminum plate while the engine's cradle is made of inter-connected Aluminum bars.

Suppose both components are loaded in bending and the deflection must be less than δ. Please help this manufacturer to assess the feasibility of replacing Aluminum by Magnesium for these two components. The relevant materials properties are listed in the table below.

Hint: The cost penalty, α_i, for a specific pair of materials, X and Y, can be expressed by

where ‘c' is cost; ‘m' is mass and ‘M' is the material index.

Suggested steps:

(1) Derive the Material index for stiffness-limited design and fill the formulas into the table attached Please type equations using Microsoft word equation feature. Present the derivation steps in the next page.

(2) Calculate the Material index for Al and Mg, and fill the values into the table attached

(3) Calculate the resultant cost penalty values and fill them into the table attached

Attachment:- Cost Penalty Analysis.rar

Reference no: EM132140685

Questions Cloud

What is the book value of the equipment : What is the book value of the equipment after the adjusting entry in the problem above if it was purchased on June 1 of the same year for $33,840

Market rate of substitution between goods x and y : 1. A consumer has $300 to spend on goods X and Y. The market prices of these two goods are

What does the statement of stockholders equity report : What does the statement of stockholders' equity report? How does the statement of stockholders' equity differ from the statement of retained earnings

How much interest income should be eliminated : Straight-line amortization is used by both companies. How much interest income should be eliminated in 2013

Derive the material index for stiffness-limited design : Derive the Material index for stiffness-limited design and fill the formulas into the table attached Please type equations using Microsoft word equation feature

Factors of production : Some economics textbooks refer to the factors of production as follows: Land, Labor, Capital, and Entrepreneurship.

What amount intercompany sale was downstream : For 2004, controlling share of consolidated net income is what amount if the intercompany sale was downstream

Protectionism or less protectionism : Explain whether there would be more protectionism or less protectionism. Why? Explain your answer.

Discuss personal experience in regard to quality improvement : What impact did the quality improvement program have on the company or organization? Please provide specific examples demonstrating the impact.

User Account

All Pages