A 250 N load is applied vertically to a pipe wrench which is gripping to a...
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A 250 N load is applied vertically to a pipe wrench which is gripping to a pipe assembly as shown in Figure Q1(a). The pipe assembly is made of stainless steel (E-193 GPa, yield.at - 207 MPa), with outer and inner diameters of 30 mm and 20 mm, respectively, as shown in Figure Q1(b). Ignore the shear stress due to shear load. At point A. (a) determine the state of stress on x-y plane, and sketch the corresponding stress element. (3 Marks) (b) determine the principal stresses, and sketch the corresponding stress element. (2 Marks) (c) determine the maximum in-plane shear stress, and sketch the corresponding stress element. (2 Marks) (d) sketch the Mohr's circle and indicate the stresses in part (a), (b), and (c). (2 Marks) (e) without calculation, what will happen to the principal stresses if the pipe is replaced with a solid cross-section with the same outer diameter? Justify your answer. (1 Mark) (a) 300 mm 250 N Figure Q1 Section a-a (b) 30 mm 20 m A 250 N load is applied vertically to a pipe wrench which is gripping to a pipe assembly as shown in Figure Q1(a). The pipe assembly is made of stainless steel (E-193 GPa, yield.at - 207 MPa), with outer and inner diameters of 30 mm and 20 mm, respectively, as shown in Figure Q1(b). Ignore the shear stress due to shear load. At point A. (a) determine the state of stress on x-y plane, and sketch the corresponding stress element. (3 Marks) (b) determine the principal stresses, and sketch the corresponding stress element. (2 Marks) (c) determine the maximum in-plane shear stress, and sketch the corresponding stress element. (2 Marks) (d) sketch the Mohr's circle and indicate the stresses in part (a), (b), and (c). (2 Marks) (e) without calculation, what will happen to the principal stresses if the pipe is replaced with a solid cross-section with the same outer diameter? Justify your answer. (1 Mark) (a) 300 mm 250 N Figure Q1 Section a-a (b) 30 mm 20 m
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Related Book For
A First Course in the Finite Element Method
ISBN: 978-1305635111
6th edition
Authors: Daryl L. Logan
Posted Date:
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