A cantilever beam shown below has a rectangular cross-section, 3/8 in. wide by 1 in. high. The length of the beam is 20 in and the modulus of elasticity (E) of the beam is 10,000 ksi. In an experiment, the following loads were applied at the free end, and observed the deflections of the beam were at each load as shown below. Load (lbs.) 0 5 10 15 20 25 30 35 40 Deflection 0.01 0.045 0.085 0.125 0.175 0.225 0.250 0.300 0.350 (in.) 45 0.385 a. Create a good calibration curve for the deflection gauge using load and deflection. The slope of the resulting curve is the experimental gain in inches/lbs. b. Determine the theoretical gain from the deflection formula. c. Perform the uncertainty analysis on the gain to conclude whether the experimental slope fits inside the bounds predicted by the uncertainty equation. Assume that you were given a yardstick (with the least increment of 1/8th inch) to measure the dimensions of the beam. You can neglect the uncertainty in modulus of elasticity (E) for this problem.
A cantilever beam shown below has a rectangular cross-section, 3/8 in. wide by 1 in. high. The length of the beam is 20 in and the modulus of elasticity (E) of the beam is 10,000 ksi. In an experiment, the following loads were applied at the free end, and observed the deflections of the beam were at each load as shown below. Load (lbs.) 0 5 10 15 20 25 30 35 40 Deflection 0.01 0.045 0.085 0.125 0.175 0.225 0.250 0.300 0.350 (in.) 45 0.385 a. Create a good calibration curve for the deflection gauge using load and deflection. The slope of the resulting curve is the experimental gain in inches/lbs. b. Determine the theoretical gain from the deflection formula. c. Perform the uncertainty analysis on the gain to conclude whether the experimental slope fits inside the bounds predicted by the uncertainty equation. Assume that you were given a yardstick (with the least increment of 1/8th inch) to measure the dimensions of the beam. You can neglect the uncertainty in modulus of elasticity (E) for this problem.
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
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY