Homework Answers
As per Von Mises theory, yielding (failure) will occur when total distortion energy absorbed per unit volume due to applied loads exceeds the distortion energy absorbed per unit volume at the tensile yield point.
NOTE: The derivation of the formula used can be seen from any standard reference.
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1. A square steel plate with each side 0.20 m and a yield stress oy =...
An overhanging steel beam is used to carry a uniformly distributed load over a 2-metre length as shown. The yield stress of steel is ơyield-350 MPa. Check if the cross section of the beam at section...
An overhanging steel beam is used to carry a uniformly distributed load over a 2-metre length as shown. The yield stress of steel is ơyield-350 MPa. Check if the cross section of the beam at section a-a is safe against yielding, (a) using the maximum distortion energy criterion (Von Mises criterion) (b) using the maximum shear stress criterion (Tresca) 15 mm w-12 kN/m 15 mm 120 mm 2000 mm 15 mm 3000 mm 3000 mm 6000 mm 60 mm
An...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure 3a), knowing that uniformly distributed load w=60 kN/m, Young modulus E = 200 GPa, and yield stress Cyield=200 MPa (in both tension and compression). ул 15 mm w=60 kN/m ... 1 B A 15 mm + 300 mm IC - i 2.5m 1 1 15 mm 7.5m 1 150 mm Figure 3a (a) Check if: the beam is safe with respect to yielding (using...
A low carbon steel shaft is designed to have a diameter of 30 mm. It is...
A low carbon steel shaft is designed to have a diameter of 30 mm. It is to be subjected to an axial load (P-30 kN), a moment (M-200 N-m), and a torque (T-300 N-m). Assume the yield stress for the steel is (280 MPa), the Poisson's ratio is (v= 0.29), and the safety factor is (1-1). Calculate the margin of safety using the following failure theories. a.) Rankine Criteria (Maximum Principal Stress) b.) Tresca Criteria (Maximum Shear Stress) c.) Saint...
LIU Points A hollow steel tube is bend to quarter circle and welded at base as...
LIU Points A hollow steel tube is bend to quarter circle and welded at base as shown in the figure below. The radius of curvature at the center of cross section area is 400 mm. It is subjected to force F. Use the given data to find 1. The reaction forces and moments at the critical cross section area 2. Find the Von Mises stress at the critical location (Neglect transverse shear) 3. If the yield stress of the materials...
A steel (KIC = 132 MPa√m) ship deck plate is 30 mm thick and 12 m...
A steel (KIC = 132 MPa√m) ship deck plate is 30 mm thick and 12 m wide. It is loaded with a uniaxial tensile stress of 50 MPa and is in an enviroment below the ductile-to-brittle transition temperature. If a crack of length 2a=65 mm is present, find the factor of safety with respect to failure under the current loading conditions and estimate the tensile stress at which catastrophic failure will occur. You may assume β = 1.
air under a pressure to 16 MPa. The tank has a 180 mm inner diameter and a 12 mm wall thickness (40 points) A torque of magnitude T-24kN-m is applied to the end of a tank containing 3. Part A. Fo...
air under a pressure to 16 MPa. The tank has a 180 mm inner diameter and a 12 mm wall thickness (40 points) A torque of magnitude T-24kN-m is applied to the end of a tank containing 3. Part A. For a point on the outer surface of the tank, determine: a. the maximum normal stress b. the maximum shearing stress Part B. As a result of several tensile tests, it has been found that the tensile yield strength for...
A circular tube is to be made of 7075-T6 aluminum with a uniaxial yield strength of...
A circular tube is to be made of 7075-T6 aluminum with a uniaxial yield strength of 469 MPa. Suppose a hollow circular tube with an inside diameter of 46.0 mm is to be made of this material. If the limit loading condition for this part is the simultaneous application of an axial load of 120 kN and a torque of 2.0 kN-m, what minimum wall thickness is required to ensure that no yielding occurs at the limit load? Use the...
MEE2001/2015 Q5. A thin walled steel cylinder with 10 mm wall thickness and internal diameter of 200 mm (Fig. Q5) is subjected to an internal pressure, p. The steel used for the cylinder has a yie...
MEE2001/2015 Q5. A thin walled steel cylinder with 10 mm wall thickness and internal diameter of 200 mm (Fig. Q5) is subjected to an internal pressure, p. The steel used for the cylinder has a yield stress of 240 MPa. +F 200 mm Fig. Q5 (a) If a tensile axial force of 1MN is applied to the end plate, show that the maximum internal pressure that can be applied before the cylinder yields according to the Tresca criterion is 16.2...
A beam is to be made of steel that has an allowable bending stress of 165...
A beam is to be made of steel that has an allowable bending stress of 165 MPa and an aliowable shear stress of 100 MPa. Select an appropriate W shape that will carry the loading shown in Figure. 20 kN 20 kN/m 4m2 m
Fig. P5. metric rolled-steel channels are to be welded back to back and 5,40 the loading shown. Knowing that the allowable normal stress o support d is 200 MPa, determine the most economica...
Fig. P5. metric rolled-steel channels are to be welded back to back and 5,40 the loading shown. Knowing that the allowable normal stress o support d is 200 MPa, determine the most economical channels that Two metri MPa, r the steel used can be used. 80 kN 30 kN/m 1.8 m 0.9 m 3.6 m Fig. P5.40 5.38 and 5.39 Knowing that the allowable stress for the steel used is 165 MPa, select the most economical S-shape beam to support...
An overhanging steel beam is used to carry a uniformly distributed load over a 2-metre length as shown. The yield stress of steel is ơyield-350 MPa. Check if the cross section of the beam at section a-a is safe against yielding, (a) using the maximum distortion energy criterion (Von Mises criterion) (b) using the maximum shear stress criterion (Tresca) 15 mm w-12 kN/m 15 mm 120 mm 2000 mm 15 mm 3000 mm 3000 mm 6000 mm 60 mm
An...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure 3a), knowing that uniformly distributed load w=60 kN/m, Young modulus E = 200 GPa, and yield stress Cyield=200 MPa (in both tension and compression). ул 15 mm w=60 kN/m ... 1 B A 15 mm + 300 mm IC - i 2.5m 1 1 15 mm 7.5m 1 150 mm Figure 3a (a) Check if: the beam is safe with respect to yielding (using...
A low carbon steel shaft is designed to have a diameter of 30 mm. It is to be subjected to an axial load (P-30 kN), a moment (M-200 N-m), and a torque (T-300 N-m). Assume the yield stress for the steel is (280 MPa), the Poisson's ratio is (v= 0.29), and the safety factor is (1-1). Calculate the margin of safety using the following failure theories. a.) Rankine Criteria (Maximum Principal Stress) b.) Tresca Criteria (Maximum Shear Stress) c.) Saint...
LIU Points A hollow steel tube is bend to quarter circle and welded at base as shown in the figure below. The radius of curvature at the center of cross section area is 400 mm. It is subjected to force F. Use the given data to find 1. The reaction forces and moments at the critical cross section area 2. Find the Von Mises stress at the critical location (Neglect transverse shear) 3. If the yield stress of the materials...
air under a pressure to 16 MPa. The tank has a 180 mm inner diameter and a 12 mm wall thickness (40 points) A torque of magnitude T-24kN-m is applied to the end of a tank containing 3. Part A. For a point on the outer surface of the tank, determine: a. the maximum normal stress b. the maximum shearing stress Part B. As a result of several tensile tests, it has been found that the tensile yield strength for...
MEE2001/2015 Q5. A thin walled steel cylinder with 10 mm wall thickness and internal diameter of 200 mm (Fig. Q5) is subjected to an internal pressure, p. The steel used for the cylinder has a yield stress of 240 MPa. +F 200 mm Fig. Q5 (a) If a tensile axial force of 1MN is applied to the end plate, show that the maximum internal pressure that can be applied before the cylinder yields according to the Tresca criterion is 16.2...
A beam is to be made of steel that has an allowable bending stress of 165 MPa and an aliowable shear stress of 100 MPa. Select an appropriate W shape that will carry the loading shown in Figure. 20 kN 20 kN/m 4m2 m
Fig. P5. metric rolled-steel channels are to be welded back to back and 5,40 the loading shown. Knowing that the allowable normal stress o support d is 200 MPa, determine the most economical channels that Two metri MPa, r the steel used can be used. 80 kN 30 kN/m 1.8 m 0.9 m 3.6 m Fig. P5.40 5.38 and 5.39 Knowing that the allowable stress for the steel used is 165 MPa, select the most economical S-shape beam to support...
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