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The notched beam in Fig Q3 is subject to a transverse load of 9.05KN and a couple of 1200Nm applied to the left hand end of the beam. The beam is made of aluminium having a yield strength of 500MPa. The dimensions (R), (S), (T), (M) and (N) are 50mm, 200mm, 95mm, 20mm, and 50mm respectively. Each notch is 6mm deep and the notch radius is 2mm. a) Sketch the free body diagram, bending moment and shear force diagrams for the loaded beam. b) Calculate the maximum axial stress in the beam and state its location, ignoring the notch. c) Sketch the stress profile through the depth of the beam at the notch and include the maximum and reference stresses. d) Determine the likely locus of failure and the factor of safety based on axial yield, for both a notched beam and an identical beam without notch. Comment on the suitability of the material in each case.

The notched beam in Fig Q3 is subject to a transverse load of 9.05KN and a couple of 1200Nm applied to the left hand end of the beam. The beam is made of aluminium having a yield strength of 500MPa. The dimensions (R), (S), (T), (M) and (N) are 50mm, 200mm, 95mm, 20mm, and 50mm respectively. Each notch is 6mm deep and the notch radius is 2mm. a) Sketch the free body diagram, bending moment and shear force diagrams for the loaded beam. b) Calculate the maximum axial stress in the beam and state its location, ignoring the notch. c) Sketch the stress profile through the depth of the beam at the notch and include the maximum and reference stresses. d) Determine the likely locus of failure and the factor of safety based on axial yield, for both a notched beam and an identical beam without notch. Comment on the suitability of the material in each case.

Elements Of Electromagnetics
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
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The notched beam in Fig Q3 is subject to a transverse load of 9.05kN and a couple of 1200Nm applied to the left hand end of the beam. The beam is made of aluminium having a yield strength of 500MPA. The dimensions (R), (S), (T), (M) and (N) are 50mm, 200mm, 95mm, 20mm, and 50mm respectively. Each notch is 6mm deep and the notch radius is 2mm. a) Sketch the free body diagram, bending moment and shear force diagrams for the loaded beam. b) Calculate the maximum axial stress in the beam and state its location, ignoring the notch. c) Sketch the stress profile through the depth of the beam at the notch and include the maximum and reference stresses. d) Determine the likely locus of failure and the factor of safety based on axial yield, for both a notched beam and an identical beam without notch. Comment on the suitability of the material in each case. F M N Cross-section + R T Sign convention
Transcribed Image Text:The notched beam in Fig Q3 is subject to a transverse load of 9.05kN and a couple of 1200Nm applied to the left hand end of the beam. The beam is made of aluminium having a yield strength of 500MPA. The dimensions (R), (S), (T), (M) and (N) are 50mm, 200mm, 95mm, 20mm, and 50mm respectively. Each notch is 6mm deep and the notch radius is 2mm. a) Sketch the free body diagram, bending moment and shear force diagrams for the loaded beam. b) Calculate the maximum axial stress in the beam and state its location, ignoring the notch. c) Sketch the stress profile through the depth of the beam at the notch and include the maximum and reference stresses. d) Determine the likely locus of failure and the factor of safety based on axial yield, for both a notched beam and an identical beam without notch. Comment on the suitability of the material in each case. F M N Cross-section + R T Sign convention
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