Homework Answers
our education system follow different units..so Iam not aware of unit klf ....so I took it as 1 klf = 1000 lb per feet...remaining procedure is correct
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1) Determine the size of the square bearing plate beneath the roller in the figure below....
INGE 4019 Introduction to Mechanics of Materials Problem 1. The figure shows a pin-connected structure where...
INGE 4019 Introduction to Mechanics of Materials Problem 1. The figure shows a pin-connected structure where rod CD is made of an alloy with a yield strength of 41 ksi, an ultimate strength of 62 ksi, a Modulus of Elasticity of 10.6x10' ksi and a Poisson's coefficient of 0.32. The pin at B is made of a material with a yield strength in shear of 24 ksi, and ultimate strength in shear of 38 ksi. The bearing strength of the...
Question 1 (30 Marks) Plate A is fillet-welded to Plate B as shown in Figure 1. Plate A and Plate B have the same material properties Both plates are 10 mm thick. There are two holes (with a diameter...
Question 1 (30 Marks) Plate A is fillet-welded to Plate B as shown in Figure 1. Plate A and Plate B have the same material properties Both plates are 10 mm thick. There are two holes (with a diameter of d) in Plate A. It is assumed that weld failure will not occur (a) If Plate A has a yield stress (fy) of 350 MPa and an ultimate tensile strength (fu) of 450 MPa, what is the maximum load (P)...
The filleted plate shown in figure 1 below supports an axial load "P" and has a...
The filleted plate shown in figure 1 below supports an axial load "P" and has a thickness "t". The "hole" and "fillets" are far enough apart from each other so the stress concentration of one does not influence the stress concentration of the other. Use this information and the values given abovethe following figure to answer the following questions. (Assume the plate is made of relatively brittle material.) a.) What is the stress concentration factor Kt for the hole? b.)...
Question 1 Shaft AB is supported at B by a roller support and at A by a pin support as well as a spline that prevents rotation around x axis. The diameter of the shaft is D. At cross s...
Question 1 Shaft AB is supported at B by a roller support and at A by a pin support as well as a spline that prevents rotation around x axis. The diameter of the shaft is D. At cross section A-A there is a relief groove where the minimum diameter is d. Two loads, F, and one torsion moment, T, are acted on the shaft. The material of the shaft is aluminum 7075, Sy = 495 MPa. Also known: L=630...
(MPa) 3 kip 3 kip 2 kip 2 kipi 2 kip --5--5-+-5ft + } } }...
(MPa) 3 kip 3 kip 2 kip 2 kipi 2 kip --5--5-+-5ft + } } } } 490 75114 } HE € (mm/mm) A Fig. for Q.1 OLO Fig. for Q.2 1. Determine the size of the square bearing plates A and B required to support the loading. Assume all the loads on the beam as dead load. Use the LRFD method. Assume the resistance factor = 0.9 and dead load factor as 1.4. The failure stress is 500 psi....
The shaft shown in Figure is supported by bearings cach end, which have bores of 20.0...
The shaft shown in Figure is supported by bearings cach end, which have bores of 20.0 mm. Design the shaft to carry the given load if it is steady and the shaft is stationary. Make the dimension a as large as possible while keeping the stress safe. Determine the required diameter in the middle portion. The maximum fillet permissible is 2.0 mm. Use SAE 1137 cold-drawn steel. Use a design factor of 3 The material properties are as follows:- Q-1...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the materi...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the material is Gc-11.7 KJ / m2 , the Young's modulus of the material is E-200 GPa, the Poisson's ratio v 0.25, and the yield stress is sufficiently high. If the remote stresses are σ o, :: 200 MPa. Try-100 MPa, what should be the critical...
For the shaft shown in figure 1, made of AISI steel 1030 CD with Sut =...
For the shaft shown in figure 1, made of AISI steel 1030 CD with Sut = 520 MPa and Sy = 440 MPa., determine the factor of safety based on failure theories for ductile of Maximum Shear Stress and Distortion Energy (Von Misses). The point selected for analysis is determined form the following table. The loads are F= 2.13 kN, P= 5.13 kN, and T = 31.3 N. m. 100 mm B 15-mm D. Р T
The gears attached to the fixed-end steel shaft are subjected to the torques shown in the figure. If the shear modulus of elasticity is 150 GPa a determine the following: nd the shaft has a d...
The gears attached to the fixed-end steel shaft are subjected to the torques shown in the figure. If the shear modulus of elasticity is 150 GPa a determine the following: nd the shaft has a diameter of 14 mm, a. Sketch the torque diagram along the steel shaft. b. Determine the maximum shear stress at Tmax and specify location. c. Sketch the shear stress distribution along the radial line at location specified in (b). d. Determine the displacement of the...
Problem 1 (a) (200 points) Shaft fatigue strength In the figure below, a rotating shaft (for...
Problem 1 (a) (200 points) Shaft fatigue strength In the figure below, a rotating shaft (for speed reducing gearbox) is subjected to radial forces at A-400 lbrand at C-800 iht. These radial forces are caused by spur gears mounted to shar (a result of the pressure angle of the teeth, 20 degrees) that mesh with 2 other spur gears, not shown. Also, The shaft transmits a constant torque of 11110 in-Ibr (925 - due to the tangential force (s: transmitted...
INGE 4019 Introduction to Mechanics of Materials Problem 1. The figure shows a pin-connected structure where rod CD is made of an alloy with a yield strength of 41 ksi, an ultimate strength of 62 ksi, a Modulus of Elasticity of 10.6x10' ksi and a Poisson's coefficient of 0.32. The pin at B is made of a material with a yield strength in shear of 24 ksi, and ultimate strength in shear of 38 ksi. The bearing strength of the...
Question 1 (30 Marks) Plate A is fillet-welded to Plate B as shown in Figure 1. Plate A and Plate B have the same material properties Both plates are 10 mm thick. There are two holes (with a diameter of d) in Plate A. It is assumed that weld failure will not occur (a) If Plate A has a yield stress (fy) of 350 MPa and an ultimate tensile strength (fu) of 450 MPa, what is the maximum load (P)...
The filleted plate shown in figure 1 below supports an axial load "P" and has a thickness "t". The "hole" and "fillets" are far enough apart from each other so the stress concentration of one does not influence the stress concentration of the other. Use this information and the values given abovethe following figure to answer the following questions. (Assume the plate is made of relatively brittle material.) a.) What is the stress concentration factor Kt for the hole? b.)...
Question 1 Shaft AB is supported at B by a roller support and at A by a pin support as well as a spline that prevents rotation around x axis. The diameter of the shaft is D. At cross section A-A there is a relief groove where the minimum diameter is d. Two loads, F, and one torsion moment, T, are acted on the shaft. The material of the shaft is aluminum 7075, Sy = 495 MPa. Also known: L=630...
(MPa) 3 kip 3 kip 2 kip 2 kipi 2 kip --5--5-+-5ft + } } } } 490 75114 } HE € (mm/mm) A Fig. for Q.1 OLO Fig. for Q.2 1. Determine the size of the square bearing plates A and B required to support the loading. Assume all the loads on the beam as dead load. Use the LRFD method. Assume the resistance factor = 0.9 and dead load factor as 1.4. The failure stress is 500 psi....
The shaft shown in Figure is supported by bearings cach end, which have bores of 20.0 mm. Design the shaft to carry the given load if it is steady and the shaft is stationary. Make the dimension a as large as possible while keeping the stress safe. Determine the required diameter in the middle portion. The maximum fillet permissible is 2.0 mm. Use SAE 1137 cold-drawn steel. Use a design factor of 3 The material properties are as follows:- Q-1...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the material is Gc-11.7 KJ / m2 , the Young's modulus of the material is E-200 GPa, the Poisson's ratio v 0.25, and the yield stress is sufficiently high. If the remote stresses are σ o, :: 200 MPa. Try-100 MPa, what should be the critical...
For the shaft shown in figure 1, made of AISI steel 1030 CD with Sut = 520 MPa and Sy = 440 MPa., determine the factor of safety based on failure theories for ductile of Maximum Shear Stress and Distortion Energy (Von Misses). The point selected for analysis is determined form the following table. The loads are F= 2.13 kN, P= 5.13 kN, and T = 31.3 N. m. 100 mm B 15-mm D. Р T
The gears attached to the fixed-end steel shaft are subjected to the torques shown in the figure. If the shear modulus of elasticity is 150 GPa a determine the following: nd the shaft has a diameter of 14 mm, a. Sketch the torque diagram along the steel shaft. b. Determine the maximum shear stress at Tmax and specify location. c. Sketch the shear stress distribution along the radial line at location specified in (b). d. Determine the displacement of the...
Problem 1 (a) (200 points) Shaft fatigue strength In the figure below, a rotating shaft (for speed reducing gearbox) is subjected to radial forces at A-400 lbrand at C-800 iht. These radial forces are caused by spur gears mounted to shar (a result of the pressure angle of the teeth, 20 degrees) that mesh with 2 other spur gears, not shown. Also, The shaft transmits a constant torque of 11110 in-Ibr (925 - due to the tangential force (s: transmitted...
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