The deflection (d) of a cantilever beam subject to a uniformly distributed load w is given by δ ພາ 2 24 EI (x²+6L²-4Lx) which is also shown in the attached file. x is the distance along the beam, Ę is the modulus of elasticity, I is the second moment of area and L is the beam length. Using MATLAB, plot the deflection of the beam along its length using: ⚫ w = 85900 N/m ⚫ E = 200 GPa I=21.2 x100 mm^4 • L = 9.2 m Answer: APPENDIX D Shear, Moment, and Deflection Equations for Beams Appendix D-1 Shear, Moment, and Deflection Equations for Cantilever Beams Slope at Free End Maximum Deflection Deflection & at Any Point x 1. Concentrated load at end PL² PL P 8= 2E1 8x= 8 = ЗЕ 681 (34-x) V-P M M--PL 2. Concentrated load at any point M Pa 0-> Вак 2E1 Pa² = (3L-a) 6E1 For a M--Ps 3. Uniform load 6E1 8E1 V 0 ° M M-12 4. Moment load at free end MyL Mel El 8x= 2E1 V ° M F My -My Px² 8-> (3x) 6E1 For a SSL 8 = Pa (3x-a) 6E1 8-241(x²+61²-4x) 8 = Mast 2E1
The deflection (d) of a cantilever beam subject to a uniformly distributed load w is given by δ ພາ 2 24 EI (x²+6L²-4Lx) which is also shown in the attached file. x is the distance along the beam, Ę is the modulus of elasticity, I is the second moment of area and L is the beam length. Using MATLAB, plot the deflection of the beam along its length using: ⚫ w = 85900 N/m ⚫ E = 200 GPa I=21.2 x100 mm^4 • L = 9.2 m Answer: APPENDIX D Shear, Moment, and Deflection Equations for Beams Appendix D-1 Shear, Moment, and Deflection Equations for Cantilever Beams Slope at Free End Maximum Deflection Deflection & at Any Point x 1. Concentrated load at end PL² PL P 8= 2E1 8x= 8 = ЗЕ 681 (34-x) V-P M M--PL 2. Concentrated load at any point M Pa 0-> Вак 2E1 Pa² = (3L-a) 6E1 For a M--Ps 3. Uniform load 6E1 8E1 V 0 ° M M-12 4. Moment load at free end MyL Mel El 8x= 2E1 V ° M F My -My Px² 8-> (3x) 6E1 For a SSL 8 = Pa (3x-a) 6E1 8-241(x²+61²-4x) 8 = Mast 2E1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
Related questions
Question
100%
Hi,
I need assistance solving this question. I've attached the question and the file mentioned in the question. I've tried; however, I'm not 100% sure I got the correct answer.
Cheers
KM
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 2 steps with 1 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell