Oues 1 A machine of mass ? = 500 ?? is mounted on a simply supported steel beam of length ? = 2 ? having a rectangular cross section (height = 0.1 ? and breadth = 1.2 ?) and Young’s modulus ? = 2.06 × 1011 ?/?2 . To reduce the vertical deflection of the beam, a spring of stiffness ? is attached at mid-span, as shown in the figure Determine the value of ? needed to reduce the deflection of the beam by: 25 per cent of its original value. 50 per cent of its original value. 75 per cent of its original value.  Assume that the mass of the beam is negligible. Given that the stiffness of the beam and the moment of inertia, respectively, can be calculated as ?beam = 48?? /?3 and ? =1 /12 ?ℎ3

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
icon
Related questions
Question

Oues 1 A machine of mass ? = 500 ?? is mounted on a simply supported steel beam of length ? = 2 ? having a rectangular cross section (height = 0.1 ? and breadth = 1.2 ?) and Young’s modulus ? = 2.06 × 1011 ?/?2 . To reduce the vertical deflection of the beam, a spring of stiffness ? is attached at mid-span, as shown in the figure Determine the value of ? needed to reduce the deflection of the beam by:

  1. 25 per cent of its original value.
  2. 50 per cent of its original value.
  3. 75 per cent of its original value.

 Assume that the mass of the beam is negligible. Given that the stiffness of the beam and the moment of inertia, respectively, can be calculated as ?beam = 48?? /?3 and ? =1 /12 ?ℎ3

m
000
Transcribed Image Text:m 000
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Slope and Deflection
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
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