The maximum tensile stress o, from bending of a simply supported beam with length L and circular cross section with diameter D, is given by the expression 8FL , where F is the magnitude of a concentrated force acting in the middle of the beam. If the relative error in estimating the magnitude of the concentrated force F is 10%, the relative error in measuring the length of the beam L is 5% and the relative error in measuring the diameter D of the beam is 2%, estimate the relative error in the maximum tensile stress o.
The maximum tensile stress o, from bending of a simply supported beam with length L and circular cross section with diameter D, is given by the expression 8FL , where F is the magnitude of a concentrated force acting in the middle of the beam. If the relative error in estimating the magnitude of the concentrated force F is 10%, the relative error in measuring the length of the beam L is 5% and the relative error in measuring the diameter D of the beam is 2%, estimate the relative error in the maximum tensile stress o.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:The maximum tensile stress o, from bending of a simply supported beam with
length L and circular cross section with diameter D, is given by the expression
8FL
, where F is the magnitude of a concentrated force acting in the middle
of the beam. If the relative error in estimating the magnitude of the concentrated
force F is 10%, the relative error in measuring the length of the beam L is 5% and
the relative error in measuring the diameter D of the beam is 2%, estimate the
relative error in the maximum tensile stress o.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning