Homework Answers
The cantilever bar in the figure is made from AISI 1018 CD steel and is statically loaded
The cantilever bar in the figure is made from AISI 1018 CD
steel and is statically loaded with Fy = 800 N, and Fx = Fz = 0.
The fillet radius at the wall is 2 mm with theoretical stress
concentrations of 1.5 for bending, 1.2 for axial, and 2.1 for
torsion.Sut = 440 MPa = 64 kpsi, Sy = 370 MPa = 54 kpsi. Analyze the
stress situation in rod AB by obtaining the following
information.a) Determine the precise...
B) A 10-mm ID steel tube carries liquid at 7 MPa. The pressure varies periodically from...
B) A 10-mm ID steel tube carries liquid at 7 MPa. The pressure varies periodically from zero to Maximum. The steel has Sut=400 MPa. Tubing axial stress is zero; the tubing finish is machined; reliability is 99.999%; and the tubing is at room temperature. The maximum principal stresses are: olmaxa = 38.82 MPa ; o2maxa = 0 MPa; 63maxa =. 7.00 MPa Determine the infinite-life fatigue safety factor for the Wall if its thickness is 1 mm. (20) Problem 2:
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 A-36 steel pipe with an outer diameter of 100 mm and an inner diameter of...
Question A-36 steel pipe with an outer diameter of 100 mm and an inner diameter of 80 mm subjected to loadings shown in Figure 1. The pipe is rigidly fixed at B and P = 150 kN. Given the yield stress, Oy=250 MPa and factor of safety, F.S. = 1.5 is used against yielding on this entire pipe. (a) For the stress state at the surface, construct the Mohr circle and determine: (1) the total stresses at surface of the...
Question A-36 steel pipe with an outer diameter of 100 mm and an inner diameter of...
Question A-36 steel pipe with an outer diameter of 100 mm and an inner diameter of 80 mm subjected to loadings shown in Figure 1. The pipe is rigidly fixed at B and P - 150 kN. Given the yield stress, Oy -250 MPa and factor of safety, F.S. - 1.5 is used against yielding on this entire pipe. (a) For the stress state at the surface, construct the Mohr circle and determine: (1) the total stresses at surface of...
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...
(3pts): The truss is constructed of A36 steel (E -2 a cross-sectional area of 250 mm2. Answer the following s 300 Clbe wna -250 MES, AI 00 G Pa and O, 250 MPa). All truss members have (a) Determi...
(3pts): The truss is constructed of A36 steel (E -2 a cross-sectional area of 250 mm2. Answer the following s 300 Clbe wna -250 MES, AI 00 G Pa and O, 250 MPa). All truss members have (a) Determine the normal stress and strain in member CD. (b) The support at joint D uses a pin placed in double shear. The pin diameter is 20 mm Determine the average shear stress acting in the pin. 50 kN 50 kN 25...
Q-1. You are testing a circular beam of two metals, 1045 steel and 2014-T6 aluminum, in...
Q-1. You are testing a circular beam of two metals, 1045 steel and 2014-T6 aluminum, in a rotating-cantilever beam fatigue test. If you need to choose one of these metals so that you can essentially design a part made of that metal, and subject the part to a repetitive stress- amplitude without ever failing due to fatigue, which one would you choose. (See the attached figure) 700 600 Ti-5Al-2.5Sn titanium alloy 4340 steel 500 400 Maximum stress, S (MPa) 1045...
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain...
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain components for a state of plane stress at a critical point in the structure are calculated as 6, 50 x 10 = -75x10* 1 = 150 x 10"rad. a) Determine the complete strain and stress matrices in this state of stress, b) Determine the in-plane state of stress with rotating current coordinate system an angle of 45 degrees clockwise by applying either the transformation...
The figure shows a transmission shaft. The steel solid shaft is 200 mm long between self-aligning...
The figure shows a transmission shaft. The steel solid shaft is 200 mm long between self-aligning bearings at A and B. Belt forces in the same horizontal direction) are applied to a 120-mm diameter sheave at C. The left end of the shaft is connected to an electric motor attached to a clutch by means of a flexible coupling. Nothing is attached to the right end (it is free). Assuming the shaft has a constant diameter, d. (a) Perform the...
The cantilever bar in the figure is made from AISI 1018 CD
steel and is statically loaded with Fy = 800 N, and Fx = Fz = 0.
The fillet radius at the wall is 2 mm with theoretical stress
concentrations of 1.5 for bending, 1.2 for axial, and 2.1 for
torsion.Sut = 440 MPa = 64 kpsi, Sy = 370 MPa = 54 kpsi. Analyze the
stress situation in rod AB by obtaining the following
information.a) Determine the precise...
B) A 10-mm ID steel tube carries liquid at 7 MPa. The pressure varies periodically from zero to Maximum. The steel has Sut=400 MPa. Tubing axial stress is zero; the tubing finish is machined; reliability is 99.999%; and the tubing is at room temperature. The maximum principal stresses are: olmaxa = 38.82 MPa ; o2maxa = 0 MPa; 63maxa =. 7.00 MPa Determine the infinite-life fatigue safety factor for the Wall if its thickness is 1 mm. (20) Problem 2:
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 A-36 steel pipe with an outer diameter of 100 mm and an inner diameter of 80 mm subjected to loadings shown in Figure 1. The pipe is rigidly fixed at B and P = 150 kN. Given the yield stress, Oy=250 MPa and factor of safety, F.S. = 1.5 is used against yielding on this entire pipe. (a) For the stress state at the surface, construct the Mohr circle and determine: (1) the total stresses at surface of the...
Question A-36 steel pipe with an outer diameter of 100 mm and an inner diameter of 80 mm subjected to loadings shown in Figure 1. The pipe is rigidly fixed at B and P - 150 kN. Given the yield stress, Oy -250 MPa and factor of safety, F.S. - 1.5 is used against yielding on this entire pipe. (a) For the stress state at the surface, construct the Mohr circle and determine: (1) the total stresses at surface of...
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...
(3pts): The truss is constructed of A36 steel (E -2 a cross-sectional area of 250 mm2. Answer the following s 300 Clbe wna -250 MES, AI 00 G Pa and O, 250 MPa). All truss members have (a) Determine the normal stress and strain in member CD. (b) The support at joint D uses a pin placed in double shear. The pin diameter is 20 mm Determine the average shear stress acting in the pin. 50 kN 50 kN 25...
Q-1. You are testing a circular beam of two metals, 1045 steel and 2014-T6 aluminum, in a rotating-cantilever beam fatigue test. If you need to choose one of these metals so that you can essentially design a part made of that metal, and subject the part to a repetitive stress- amplitude without ever failing due to fatigue, which one would you choose. (See the attached figure) 700 600 Ti-5Al-2.5Sn titanium alloy 4340 steel 500 400 Maximum stress, S (MPa) 1045...
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain components for a state of plane stress at a critical point in the structure are calculated as 6, 50 x 10 = -75x10* 1 = 150 x 10"rad. a) Determine the complete strain and stress matrices in this state of stress, b) Determine the in-plane state of stress with rotating current coordinate system an angle of 45 degrees clockwise by applying either the transformation...
The figure shows a transmission shaft. The steel solid shaft is 200 mm long between self-aligning bearings at A and B. Belt forces in the same horizontal direction) are applied to a 120-mm diameter sheave at C. The left end of the shaft is connected to an electric motor attached to a clutch by means of a flexible coupling. Nothing is attached to the right end (it is free). Assuming the shaft has a constant diameter, d. (a) Perform the...
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