W1. 2400 mm 600 mm 900 mm F

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

A cantilever beam is shown below, Determine the Shear Force and the Bending Moment Equation for 3.0 < x < 3.9. P = 15 kN, F = 75 kN, w1 = 3.75 kN/m, w2 = 6 kN/m

Note: Determine/derive the Shear Force and Bending Moment Equations of each segment of the beam (kindly include the FBD). 

W1.
2400 mm
600 mm
900mm
F
Transcribed Image Text:W1. 2400 mm 600 mm 900mm F
SHEAR AND MOMENT EQUATIONS (Procedure)
1. Compute the support reactions of the beam.
2. Divide the beam into segments so that the
loading within each segment is continuous.
3. ON EACH BEAM SEGMENT, introduce an
imaginary cutting plane within the segment,
located at a distance "x" from the left end of the
beam, that cuts the beam into parts.
4. Draw an FBD for the part of the beam lying to
the left. At the cut section, show V (Shear) and
M (Bending moment) acting in their positive
directions.
5. Determine the equations for V and M from the
equilibrium equations obtainable from the
FBDS. These expressions, which are usually
functions of x, are the shear force and bending
moment equation for the segment.
6. Do the preceding steps for all segments until you
obtain the shear and moment equation for all
segments.
Transcribed Image Text:SHEAR AND MOMENT EQUATIONS (Procedure) 1. Compute the support reactions of the beam. 2. Divide the beam into segments so that the loading within each segment is continuous. 3. ON EACH BEAM SEGMENT, introduce an imaginary cutting plane within the segment, located at a distance "x" from the left end of the beam, that cuts the beam into parts. 4. Draw an FBD for the part of the beam lying to the left. At the cut section, show V (Shear) and M (Bending moment) acting in their positive directions. 5. Determine the equations for V and M from the equilibrium equations obtainable from the FBDS. These expressions, which are usually functions of x, are the shear force and bending moment equation for the segment. 6. Do the preceding steps for all segments until you obtain the shear and moment equation for all segments.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Design of Beams and Shafts
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.
Similar questions
  • SEE MORE QUESTIONS
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