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Similar to the question in Part A, a hollow cylindrical 4130 steel tube has a 25 mm outside diameter, a 5 mm wall thickness and a length of 900 mm as shown in the figure below. In service the tube is simply supported at each end and loaded at 1/3 and 2/3 distance by loads of 500 N in addition to an axial load of F₂ = 2500 N and a torsional moment of T = 350 Nm. A 500 N 5045 E Cross section RL B 500 N Figure 4: Hollow cylindrical tube under combined loads. 25 mm OD x 5 mm 1-F₂ T = 350 Nm Rel F₁ = 2500 N For the tube: 1. Draw and fully label the applicable shear force and bending moment diagram. 2. Sketch 2-D stress elements showing the state of stress at the surface of the shaft at a distance 450 mm from R₁ for locations at: the top (C), the mid-line (D) and the bottom (E) of the shaft surface. 3. Use Mohr's circle or plane stress transformation equations to determine the principal stresses and maximum shearing stress acting on the tube. 4. If the yield point of the 4130 steel in simple tension is 300 MPa, determine the factor of safety against yield according to the Tresca yield criteria. 5. Compose a brief discussion (no more than 1 page including reference) by comparing the FE method used in Part A and the analytical methods used in Part B based on the obtained results. Please use reference to support the discussion.

Similar to the question in Part A, a hollow cylindrical 4130 steel tube has a 25 mm outside diameter, a 5 mm wall thickness and a length of 900 mm as shown in the figure below. In service the tube is simply supported at each end and loaded at 1/3 and 2/3 distance by loads of 500 N in addition to an axial load of F₂ = 2500 N and a torsional moment of T = 350 Nm. A 500 N 5045 E Cross section RL B 500 N Figure 4: Hollow cylindrical tube under combined loads. 25 mm OD x 5 mm 1-F₂ T = 350 Nm Rel F₁ = 2500 N For the tube: 1. Draw and fully label the applicable shear force and bending moment diagram. 2. Sketch 2-D stress elements showing the state of stress at the surface of the shaft at a distance 450 mm from R₁ for locations at: the top (C), the mid-line (D) and the bottom (E) of the shaft surface. 3. Use Mohr's circle or plane stress transformation equations to determine the principal stresses and maximum shearing stress acting on the tube. 4. If the yield point of the 4130 steel in simple tension is 300 MPa, determine the factor of safety against yield according to the Tresca yield criteria. 5. Compose a brief discussion (no more than 1 page including reference) by comparing the FE method used in Part A and the analytical methods used in Part B based on the obtained results. Please use reference to support the discussion.

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
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Similar to the question in Part A, a hollow cylindrical 4130 steel tube has a 25 mm outside diameter, a 5 mm wall thickness and a length of 900 mm as shown in the figure below. In service the tube is simply supported at each end and loaded at 1/3 and 2/3 distance by loads of 500 N in addition to an axial load of F₂ = 2500 N and a torsional moment of T = 350 Nm. Cross section È R₁ A 500 N 300 mm E B 500 N 300 mm Figure 4: Hollow cylindrical tube under combined loads. 25 mm OD x 5 mm 10 RR F₁ = 2500 N T = 350 Nm For the tube: 1. Draw and fully label the applicable shear force and bending moment diagram. 2. Sketch 2-D stress elements showing the state of stress at the surface of the shaft at a distance 450 mm from R₁ for locations at: the top (C), the mid-line (D) and the bottom (E) of the shaft surface. 3. Use Mohr's circle or plane stress transformation equations to determine the principal stresses and maximum shearing stress acting on the tube. 4. If the yield point of the 4130 steel in simple tension is 300 MPa, determine the factor of safety against yield according to the Tresca yield criteria. 5. Compose a brief discussion (no more than 1 page including reference) by comparing the FE method used in Part A and the analytical methods used in Part B based on the obtained results. Please use reference to support the discussion.
Transcribed Image Text:Similar to the question in Part A, a hollow cylindrical 4130 steel tube has a 25 mm outside diameter, a 5 mm wall thickness and a length of 900 mm as shown in the figure below. In service the tube is simply supported at each end and loaded at 1/3 and 2/3 distance by loads of 500 N in addition to an axial load of F₂ = 2500 N and a torsional moment of T = 350 Nm. Cross section È R₁ A 500 N 300 mm E B 500 N 300 mm Figure 4: Hollow cylindrical tube under combined loads. 25 mm OD x 5 mm 10 RR F₁ = 2500 N T = 350 Nm For the tube: 1. Draw and fully label the applicable shear force and bending moment diagram. 2. Sketch 2-D stress elements showing the state of stress at the surface of the shaft at a distance 450 mm from R₁ for locations at: the top (C), the mid-line (D) and the bottom (E) of the shaft surface. 3. Use Mohr's circle or plane stress transformation equations to determine the principal stresses and maximum shearing stress acting on the tube. 4. If the yield point of the 4130 steel in simple tension is 300 MPa, determine the factor of safety against yield according to the Tresca yield criteria. 5. Compose a brief discussion (no more than 1 page including reference) by comparing the FE method used in Part A and the analytical methods used in Part B based on the obtained results. Please use reference to support the discussion.
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