Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
4. A lug wrench is subjected to loads, as shown in the figure below. The tool body is a hollow cylinder (assume a thin tube) with an outer diameter D = 25 mm, and thickness t. Ignore the changes in diameter (i.e., assume they are all the same), and model it as a cantilever beam. A is on the outer diameter. Ꮓ x y 500N(+z) 500 mm 250N 350 mm 500N(-z) 350 mm 250N ▲ Z Element A a. Sketch element A and show the stress state. Be sure to label the coordinate axes on the element. Make sure you calculate the normal (σ) and shear stresses (T). b. If the tool is made from aluminum with E = 70 GPa, SUT = 185 MPa, and S = 76 MPa. Find the thickness t such y that at A the safety factor is 2. (Use the distortion energy method). Useful formulas for this problem (from your equation 3 лDt; I = àƉ°t/8; J πD³t/8; sheet): AлDt; I = 3 = πD˚t/4

4. A lug wrench is subjected to loads, as shown in the figure below. The tool body is a hollow cylinder (assume a thin tube) with an outer diameter D = 25 mm, and thickness t. Ignore the changes in diameter (i.e., assume they are all the same), and model it as a cantilever beam. A is on the outer diameter. Ꮓ x y 500N(+z) 500 mm 250N 350 mm 500N(-z) 350 mm 250N ▲ Z Element A a. Sketch element A and show the stress state. Be sure to label the coordinate axes on the element. Make sure you calculate the normal (σ) and shear stresses (T). b. If the tool is made from aluminum with E = 70 GPa, SUT = 185 MPa, and S = 76 MPa. Find the thickness t such y that at A the safety factor is 2. (Use the distortion energy method). Useful formulas for this problem (from your equation 3 лDt; I = àƉ°t/8; J πD³t/8; sheet): AлDt; I = 3 = πD˚t/4

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question
4. A lug wrench is subjected to loads, as shown in the figure below. The tool body is a hollow cylinder (assume a thin tube) with an outer diameter D = 25 mm, and thickness t. Ignore the changes in diameter (i.e., assume they are all the same), and model it as a cantilever beam. A is on the outer diameter. Ꮓ x y 500N(+z) 500 mm 250N 350 mm 500N(-z) 350 mm 250N ▲ Z Element A a. Sketch element A and show the stress state. Be sure to label the coordinate axes on the element. Make sure you calculate the normal (σ) and shear stresses (T). b. If the tool is made from aluminum with E = 70 GPa, SUT = 185 MPa, and S = 76 MPa. Find the thickness t such y that at A the safety factor is 2. (Use the distortion energy method). Useful formulas for this problem (from your equation 3 лDt; I = àƉ°t/8; J πD³t/8; sheet): AлDt; I = 3 = πD˚t/4
Transcribed Image Text:4. A lug wrench is subjected to loads, as shown in the figure below. The tool body is a hollow cylinder (assume a thin tube) with an outer diameter D = 25 mm, and thickness t. Ignore the changes in diameter (i.e., assume they are all the same), and model it as a cantilever beam. A is on the outer diameter. Ꮓ x y 500N(+z) 500 mm 250N 350 mm 500N(-z) 350 mm 250N ▲ Z Element A a. Sketch element A and show the stress state. Be sure to label the coordinate axes on the element. Make sure you calculate the normal (σ) and shear stresses (T). b. If the tool is made from aluminum with E = 70 GPa, SUT = 185 MPa, and S = 76 MPa. Find the thickness t such y that at A the safety factor is 2. (Use the distortion energy method). Useful formulas for this problem (from your equation 3 лDt; I = àƉ°t/8; J πD³t/8; sheet): AлDt; I = 3 = πD˚t/4
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS