Question

The drawing shown below is a representation of a redesigned stepped bar component utilized in a field cultivator employed in the farming industry to prepare soil for planting. The stepped bar consists of a 21 mm square section bar (AB) of length 45 mm; a 15 mm diameter bar (BC), length 60 mm; and a 6 mm diameter bar (CD), length 50 mm. The Young's modulus for the bar material is 200 GPa, and the component is typically subject to a 6 kN tensile axial load T during operation. Undertake an analysis on the component to confirm its structural integrity (i.e., calculate values of stress and deformation) if the yield stress of the material used in its manufacture σy = 200 MPa and it has a limit on any elongation of δmax = 0.2 mm. Note that a factor of safety of 2 should be used to determine the 'design stress'.

          The drawing shown below is a representation of a redesigned stepped bar component utilized in a field cultivator employed in the farming industry to prepare soil for planting. The stepped bar consists of a 21 mm square section bar (AB) of length 45 mm; a 15 mm diameter bar (BC), length 60 mm; and a 6 mm diameter bar (CD), length 50 mm. The Young's modulus for the bar material is 200 GPa, and the component is typically subject to a 6 kN tensile axial load T during operation. Undertake an analysis on the component to confirm its structural integrity (i.e., calculate values of stress and deformation) if the yield stress of the material used in its manufacture σy = 200 MPa and it has a limit on any elongation of δmax = 0.2 mm. Note that a factor of safety of 2 should be used to determine the 'design stress'.
        
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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The drawing shown below is a representation of a redesigned stepped bar component utilized in a field cultivator employed in the farming industry to prepare soil for planting. The stepped bar consists of a 21 mm square section bar (AB) of length 45 mm; a 15 mm diameter bar (BC), length 60 mm; and a 6 mm diameter bar (CD), length 50 mm. The Young's modulus for the bar material is 200 GPa, and the component is typically subject to a 6 kN tensile axial load T during operation. Undertake an analysis on the component to confirm its structural integrity (i.e., calculate values of stress and deformation) if the yield stress of the material used in its manufacture σy = 200 MPa and it has a limit on any elongation of δmax = 0.2 mm. Note that a factor of safety of 2 should be used to determine the 'design stress'.
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Transcript

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00:01 Here the value of l is 6 .325 meter okay 325 meter rigid joint so le will be equal to 0 .65 times 6 .325 which will be equal to 4 .11125 meter now i will be equal to here 420 times 420 whole cube divided by 12 so it will be equal to 25 .931 times 10 to the power 8 now here what we can state i a will be equal to 420 times 420 it means 1764 double zero millimeter is for and that was in the millimeter for power 4 now what we can state here r is sorry we can just find here r so r is nothing but equal to under root of i divided by a so r will be equal to under root of what is i it is 25 .93 1 times 10 to the power 8…
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