Answered: Bending induced tensile yield failure.

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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$As a safety engineer you are inspecting a hollow beam made of aluminium 7075-T6 under bending loads as shown below in Figure 1(a) and cross-sectional profile in Figure 1(b). The material properties for the material being considered are Yield Strength of 503 MPa and Young's Modulus of 71.7 GPa. Using approximate calculations determine the maximum magnitude of load that can be applied safely to the beam based on consideration of: 3. (a) Bending induced tensile yield failure. (b) underside of the beam as shown below in Figure 1(c). Fast fracture for a flaw tolerance of maximum 1 mm on the In the above problem if the actual applied was limited to half (c) the value in part (b) but at the same time preventing fatigue failure was also a major concern, then which approach can be used to correctly estimate fatigue life for preventing catastrophic fatigue failure? You may consult the formula sheet for relevant formulas but please mention why you have chosen a particular formula (that is explain your assumptions). Also draw appropriate sketches where required to explain your answer and assumptions and comment on accuracy of this calculation and the effect of various assumptions. See Figure 1 below: Load: F 10 mm 500 mm 15 mm (a) (b) 10 mm a/w 1.12 1.37 02 2.11 283 0.4 0.5 15 mm (c) Figure 1: (a) schematic of the loaded beam (b) cross-sectional profile of the beam (c) details and location of flaw on cross-sectional profile and table of Y values for different flaw size a.$

Transcribed Image Text:As a safety engineer you are inspecting a hollow beam made of aluminium 7075-T6 under bending loads as shown below in Figure 1(a) and cross-sectional profile in Figure 1(b). The material properties for the material being considered are Yield Strength of 503 MPa and Young's Modulus of 71.7 GPa. Using approximate calculations determine the maximum magnitude of load that can be applied safely to the beam based on consideration of: 3. (a) Bending induced tensile yield failure. (b) underside of the beam as shown below in Figure 1(c). Fast fracture for a flaw tolerance of maximum 1 mm on the In the above problem if the actual applied was limited to half (c) the value in part (b) but at the same time preventing fatigue failure was also a major concern, then which approach can be used to correctly estimate fatigue life for preventing catastrophic fatigue failure? You may consult the formula sheet for relevant formulas but please mention why you have chosen a particular formula (that is explain your assumptions). Also draw appropriate sketches where required to explain your answer and assumptions and comment on accuracy of this calculation and the effect of various assumptions. See Figure 1 below: Load: F 10 mm 500 mm 15 mm (a) (b) 10 mm a/w 1.12 1.37 02 2.11 283 0.4 0.5 15 mm (c) Figure 1: (a) schematic of the loaded beam (b) cross-sectional profile of the beam (c) details and location of flaw on cross-sectional profile and table of Y values for different flaw size a.

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