Homework Answers
.For selecting a material, see yield stress of material and it
should be more than maximum stress. For factor of safety 1, we can
use carbon steel of grade SA-105,106,516 and more.
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ts Specify a suitable material for the bar shown if the applied repeated force F is...
A load of 80 Kn is applied to a steel bar system as shown. Determine the...
A load of 80 Kn is applied to a steel bar system as shown.
Determine the shear stress applied to plate D and the normal effort
that the C-bar supports
400 mm Placa D 80 kN. 30 mm 70 mm 600 mm
The composite bar is firmly fixed at both ends. The bar is stress-free at 60°F Compute the stress in each material after the 50-kip force 42 in is applied and the temperature is increased to 120°...
The composite bar is firmly fixed at both ends. The bar is stress-free at 60°F Compute the stress in each material after the 50-kip force 42 in is applied and the temperature is increased to 120°F. Use α-6.5 x 10-6/°F for steel and α-1 2.8 x 10-6/°F for aluminum. At what temperature will the aluminum and steel have stresses of equal magnitude after the 50-kip force is applied? Problem 4(25 Points) The rigid bar ABCD is supported by a pin...
A force of F = 29 KN is applied to the frame as shown. The frame...
A force of F = 29 KN is applied to the frame as shown. The frame is supported by pins at C and D. A) (20 points) Calculate the internal reactions in member ABC at the midpoint between points B and C (denoted by the green line). B) (10 points) Calculate the normal stress and shear stress in member ABC at the midpoint between B and C (denoted by the green line) if the cross section at that location is...
4) The load-deformation values for a particular material is shown below. A bar made from this...
4) The load-deformation values for a particular material is shown below. A bar made from this material is initially 200.0 mm long at a temperature of 20°C. After a tension force is applied to the bar and the temperature is increased by 200°C, the length of the bar is 201.5 mm. Determine the stress in the bar and state whether the elongation in the bar is elastic or inelastic. Assume the diameter of the bar is 10 mm and the...
The curved steel bar shown in the figure has a rectangular cross section with a radial...
The curved steel bar shown in the figure has a rectangular cross section with a radial height h= 8 mm and a thickness b= 3 mm. The radius of the centroid is R= 40 mm. A force P= 15 N is applied as shown here. Find the vertical deflection at B. Use Castigliano's method for a curved flexural member. Since Rih< 10, do not neglect any of the terms. The vertical deflection at Bis D m m.
A concentrated force P is applied in the middle of a simply supported beam with the T-shaped cross section shown. The m...
A concentrated force P is applied in the middle of a simply supported beam with the T-shaped cross section shown. The maximum value of the load P so that the normal stress in the beam does not exceed 25 MPa is most closely: 150 mm P 30 mm 4m 4m 120 mm A' B A 40 mm A. 3.1 kN B. 5.8 kN Oc. 2.5 kN D. 4.3 kN
A concentrated force P is applied in the middle of a...
PROBLEM 4: (8 Points) 3 Forces are applied to the bar as shown. Determine: a. The...
PROBLEM 4: (8 Points) 3 Forces are applied to the bar as shown. Determine: a. The Moment of Force Fi about Point B. b. The Moment of Force F2 about Point A c. The Moment of Force F3 about Point C. d. The Moment of Force F3 about Point E F3 150 N A F120 N 120 mm 160 mm F 90 N 250 mm 200 mm 140 mm-
The cantilevered bar in the figure is made from a ductile material and is statically loaded...
The cantilevered bar in the figure is made from a ductile material and is statically loaded with Fx-320 lbf, Fy = 255 lbf, and F- 105 lbf. The critical stress element experiences = 58.4 kpsi, σ x ,axial =0.407 kpsi and τ = 15.6 kpsi. Determine the minimum factor of safety for fatigue at point A, based on infinite life. If the life is not infinite, estimate the number of cycles. The force F is applied as a repeated load...
3- (SKMMIH3/SME2113) from plastic having modulus of elasticity, E-4.0GPa a) Bar ABCD shown in Figure Q3a is made The bar consists of three segments, AB, BC, and CD. Segment AB is hollow and segm...
3- (SKMMIH3/SME2113) from plastic having modulus of elasticity, E-4.0GPa a) Bar ABCD shown in Figure Q3a is made The bar consists of three segments, AB, BC, and CD. Segment AB is hollow and segments BC and CD are solids If the shortening (contraction) of bar ABCD is limited to 4.0 mm, determine the maximum allowable force P to be applied at C. (8 marks) 90 mm ΟΙ 00 mm 1080 min PL 500 mm 250 mm 250 mm Figure Q3a...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC,...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC, two fiber-reinforced plastic (FRP) rods (1) and (3), and FRP post (2). The modulus of elasticity for the FRP is E = 18 GPa. Determine the vertical deflection of joint D relative to its initial position after the 30 kN load is applied. 2.4 m 1.8 m Rigid bar | B |(2) (3) || 3.0 m 3.6 m A = 500 mm? Az= 500...
A load of 80 Kn is applied to a steel bar system as shown.
Determine the shear stress applied to plate D and the normal effort
that the C-bar supports
400 mm Placa D 80 kN. 30 mm 70 mm 600 mm
The composite bar is firmly fixed at both ends. The bar is stress-free at 60°F Compute the stress in each material after the 50-kip force 42 in is applied and the temperature is increased to 120°F. Use α-6.5 x 10-6/°F for steel and α-1 2.8 x 10-6/°F for aluminum. At what temperature will the aluminum and steel have stresses of equal magnitude after the 50-kip force is applied? Problem 4(25 Points) The rigid bar ABCD is supported by a pin...
A force of F = 29 KN is applied to the frame as shown. The frame is supported by pins at C and D. A) (20 points) Calculate the internal reactions in member ABC at the midpoint between points B and C (denoted by the green line). B) (10 points) Calculate the normal stress and shear stress in member ABC at the midpoint between B and C (denoted by the green line) if the cross section at that location is...
4) The load-deformation values for a particular material is shown below. A bar made from this material is initially 200.0 mm long at a temperature of 20°C. After a tension force is applied to the bar and the temperature is increased by 200°C, the length of the bar is 201.5 mm. Determine the stress in the bar and state whether the elongation in the bar is elastic or inelastic. Assume the diameter of the bar is 10 mm and the...
The curved steel bar shown in the figure has a rectangular cross section with a radial height h= 8 mm and a thickness b= 3 mm. The radius of the centroid is R= 40 mm. A force P= 15 N is applied as shown here. Find the vertical deflection at B. Use Castigliano's method for a curved flexural member. Since Rih< 10, do not neglect any of the terms. The vertical deflection at Bis D m m.
A concentrated force P is applied in the middle of a simply supported beam with the T-shaped cross section shown. The maximum value of the load P so that the normal stress in the beam does not exceed 25 MPa is most closely: 150 mm P 30 mm 4m 4m 120 mm A' B A 40 mm A. 3.1 kN B. 5.8 kN Oc. 2.5 kN D. 4.3 kN
A concentrated force P is applied in the middle of a...
PROBLEM 4: (8 Points) 3 Forces are applied to the bar as shown. Determine: a. The Moment of Force Fi about Point B. b. The Moment of Force F2 about Point A c. The Moment of Force F3 about Point C. d. The Moment of Force F3 about Point E F3 150 N A F120 N 120 mm 160 mm F 90 N 250 mm 200 mm 140 mm-
The cantilevered bar in the figure is made from a ductile material and is statically loaded with Fx-320 lbf, Fy = 255 lbf, and F- 105 lbf. The critical stress element experiences = 58.4 kpsi, σ x ,axial =0.407 kpsi and τ = 15.6 kpsi. Determine the minimum factor of safety for fatigue at point A, based on infinite life. If the life is not infinite, estimate the number of cycles. The force F is applied as a repeated load...
3- (SKMMIH3/SME2113) from plastic having modulus of elasticity, E-4.0GPa a) Bar ABCD shown in Figure Q3a is made The bar consists of three segments, AB, BC, and CD. Segment AB is hollow and segments BC and CD are solids If the shortening (contraction) of bar ABCD is limited to 4.0 mm, determine the maximum allowable force P to be applied at C. (8 marks) 90 mm ΟΙ 00 mm 1080 min PL 500 mm 250 mm 250 mm Figure Q3a...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC, two fiber-reinforced plastic (FRP) rods (1) and (3), and FRP post (2). The modulus of elasticity for the FRP is E = 18 GPa. Determine the vertical deflection of joint D relative to its initial position after the 30 kN load is applied. 2.4 m 1.8 m Rigid bar | B |(2) (3) || 3.0 m 3.6 m A = 500 mm? Az= 500...
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