1) the section shown is subject to a 300 N-m moment at an angle of β = 15o
a) What is the angle that the neutral axis lays on?
b) What is the maximum compression and tension?
c) what are the stresses at points A and B?
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1) the section shown is subject to a 300 N-m moment at an angle
of β...
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the...
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the x-axis which passes through the centroid of the section. Determine the angle the neutral axis makes with respect to the +x- axis. Sketch it on the cross section. Given the design flexural stress limit is 100 MPa, determine the maximum allowable moment which can be applied. You only need to evaluate the stresses at points A, 8. Helpful hint: Remember to change the sign...
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the...
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the x-axis which passes through the centroid of the section. Determine the angle the neutral axis makes with respect to axis. Sketch it on the cross section. Given the design flexural stress limit is 100 MPa, determine the maximum allowable moment which can be applied. You only need to evaluate the stresses at points A, B. Helpful hint: Remember to change the sign of your...
Problem 5 The cross-section shown below is subject to a positive internal bending moment M =...
Problem 5 The cross-section shown below is subject to a positive internal bending moment M = 60 kNm applied about the local z-axis of the section. Determine the maximum tensile and compressive normal stresses in this section due to this internal moment. 200 mm - 25 mm 25 mm 150 mm comp = -79.8 MPa O ten = 118.3 MPa 25 mm 100 mm
4.(25 pt) A Z-section is subjected to bending moment M= 3 kN.m at an angle 0...
4.(25 pt) A Z-section is subjected to bending moment M= 3 kN.m at an angle 0 = -20° to the z axis, as shown. Find the normal stresses at A, B, D, and EOA: OB. Op, and OE: respectively) and also find the position of the neutral axis. Use the following numerical data: h= 200 mm, b= 90 mm, thickness t= 15 mm.
A beam whose cross-section is shown in the figure is subjected to a bending moment M...
A beam whose cross-section is shown in the figure is subjected to a bending moment M inclined at 0 = 70° from the z axis. a) Locate the orientation of the neutral axis B and draw this axis on the figure b) Calculate the maximum flexural tensile stress Omax,T and the maximum flexural compressive stress Omax.c in the beam and indicate at which points in the section these occur. M= 2 Nm D e Z 20 mm A B 60...
e = 108.3 mm A = 10 Ixx = 162.2 2. Figure Q.2 shows the section of a symmetrical prestressed concrete beam in which the eccentricity of the tendons is e mm, the cross-section area is A x 10 (mm',...
e = 108.3 mm
A = 10
Ixx = 162.2
2. Figure Q.2 shows the section of a symmetrical prestressed concrete beam in which the eccentricity of the tendons is e mm, the cross-section area is A x 10 (mm', and the 2d moment of area about x-x axis is Iux x 10' (mm). (50%) Figure Q.2 240 Calculate the maximum allowable prestressing force if, at the prestressing stage, the allowable stresses are 1 N/mm2 tension and 20 N/mn2 compression....
1. (20 pts) Consider the L-stiffener with the cross-section geometry shown a) (S pts) Determine t...
1. (20 pts) Consider the L-stiffener with the cross-section geometry shown a) (S pts) Determine the location of the Centrorid (i.e. find a and b) b) (5 pts) Determine the moments and product of inertia using the coordinate axes shown (i.e. findふ1, and in). c) (5 pts) If the maximum allowable stress in 12 ksi (tension or compression), determine the largest allowable bending moment about the e axis, Mo. As part of your work, determine where the maximum tensile and...
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in the figure below...
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in the figure below. a. State the distance of the centroid from the 2 axis. b. Calculate the area moment of inertia about the centroid. c. Calculate the maximum stress in the beam 300 mm 20 mm 185 mm 20 mm 35 mm
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in...
2. Figure Q.2 shows the section of a symmetrical prestressed concrete beam in which the eccentricity...
2. Figure Q.2 shows the section of a symmetrical prestressed concrete beam in which the eccentricity of the tendons is e mm, the cross-section area is A x 10° (mm), and the moment of area about x-x axis is Is < 10 (mm) Figure Q.2 440 e = 112.76 mm A = 73.32 Ixx = 155.55 |-240 a. Calculate the maximum allowable prestressing force if, at the prestressing stage, the allowable stresses are 1 N/mm' tension and 20 N/mn* compression....
If the internal internal moment that affects the cross section of the aluminum reinforcement has the...
If the internal internal moment that affects the cross section of the aluminum reinforcement has the size M = 817 N.m and is guided as shown, determine the bending stresses at points A and B. Determine the location (point C) of the geometric center of the cross section of the reinforcement, and also indicate the direction of the neutral axis. M(817) Nm 20 mm 30 mm 280 mm 280 mm
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the x-axis which passes through the centroid of the section. Determine the angle the neutral axis makes with respect to the +x- axis. Sketch it on the cross section. Given the design flexural stress limit is 100 MPa, determine the maximum allowable moment which can be applied. You only need to evaluate the stresses at points A, 8. Helpful hint: Remember to change the sign...
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the x-axis which passes through the centroid of the section. Determine the angle the neutral axis makes with respect to axis. Sketch it on the cross section. Given the design flexural stress limit is 100 MPa, determine the maximum allowable moment which can be applied. You only need to evaluate the stresses at points A, B. Helpful hint: Remember to change the sign of your...
Problem 5 The cross-section shown below is subject to a positive internal bending moment M = 60 kNm applied about the local z-axis of the section. Determine the maximum tensile and compressive normal stresses in this section due to this internal moment. 200 mm - 25 mm 25 mm 150 mm comp = -79.8 MPa O ten = 118.3 MPa 25 mm 100 mm
4.(25 pt) A Z-section is subjected to bending moment M= 3 kN.m at an angle 0 = -20° to the z axis, as shown. Find the normal stresses at A, B, D, and EOA: OB. Op, and OE: respectively) and also find the position of the neutral axis. Use the following numerical data: h= 200 mm, b= 90 mm, thickness t= 15 mm.
A beam whose cross-section is shown in the figure is subjected to a bending moment M inclined at 0 = 70° from the z axis. a) Locate the orientation of the neutral axis B and draw this axis on the figure b) Calculate the maximum flexural tensile stress Omax,T and the maximum flexural compressive stress Omax.c in the beam and indicate at which points in the section these occur. M= 2 Nm D e Z 20 mm A B 60...
e = 108.3 mm
A = 10
Ixx = 162.2
2. Figure Q.2 shows the section of a symmetrical prestressed concrete beam in which the eccentricity of the tendons is e mm, the cross-section area is A x 10 (mm', and the 2d moment of area about x-x axis is Iux x 10' (mm). (50%) Figure Q.2 240 Calculate the maximum allowable prestressing force if, at the prestressing stage, the allowable stresses are 1 N/mm2 tension and 20 N/mn2 compression....
1. (20 pts) Consider the L-stiffener with the cross-section geometry shown a) (S pts) Determine the location of the Centrorid (i.e. find a and b) b) (5 pts) Determine the moments and product of inertia using the coordinate axes shown (i.e. findふ1, and in). c) (5 pts) If the maximum allowable stress in 12 ksi (tension or compression), determine the largest allowable bending moment about the e axis, Mo. As part of your work, determine where the maximum tensile and...
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in the figure below. a. State the distance of the centroid from the 2 axis. b. Calculate the area moment of inertia about the centroid. c. Calculate the maximum stress in the beam 300 mm 20 mm 185 mm 20 mm 35 mm
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in...
2. Figure Q.2 shows the section of a symmetrical prestressed concrete beam in which the eccentricity of the tendons is e mm, the cross-section area is A x 10° (mm), and the moment of area about x-x axis is Is < 10 (mm) Figure Q.2 440 e = 112.76 mm A = 73.32 Ixx = 155.55 |-240 a. Calculate the maximum allowable prestressing force if, at the prestressing stage, the allowable stresses are 1 N/mm' tension and 20 N/mn* compression....
If the internal internal moment that affects the cross section of the aluminum reinforcement has the size M = 817 N.m and is guided as shown, determine the bending stresses at points A and B. Determine the location (point C) of the geometric center of the cross section of the reinforcement, and also indicate the direction of the neutral axis. M(817) Nm 20 mm 30 mm 280 mm 280 mm
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