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Q5 Consider an extruded aluminium machine part that has the cross-section shown in the accompanying figure....
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....
QUESTION 11 Knowing that for the extruded beam shown in the figure below, the allowable stress...
QUESTION 11 Knowing that for the extruded beam shown in the figure below, the allowable stress is 120 MPa in tension and 150 MPa in compression. 125 mm N-A 50 mm 125 mm 150 mm The centroid () measured from bottom of cross-section is: [mm.] 114.7 138.25 151.32 163.17 NI QUESTION 12 The moment of inertia () around neutral axis (N.A.) is: [m 122.16x 10 5 165.56x 10 5 212.45x 10 6 310.11x 10 5
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
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' (mm2), and the 2d moment of area about x-x axis is Lu 10 (mm). (50%) Figure Q.2 e106.1 mm xx 1611 240 a. Calculate the maximum allowable prestressing force if, at the prestressing stage, the allowable stresses are 1 N/mm2 tension and 20 N/mn2 compression. What applied moment can then be...
P8.008 The dimensions of the double-box beam cross section shown in the figure are b =...
P8.008 The dimensions of the double-box beam cross section shown in the figure are b = 190 mm, d = 65 mm, and t = 3 mm. If the maximum allowable bending stress is 19 MPa, determine the maximum internal bending moment Mz magnitude that can be applied to the beam. Answer: Mz = N-m
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...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as indicated) is strengthened at the bottom using 3 steel reinforcement plates of the same 12mm thickness (see figure), perfectly glued to the wooden beam. The modulus of elasticity for wood is E,-12 GPa and for steel E,-200 GPa. Given the allowable stresses (in both tension and compression) for wood ơw-12 MPa and for steel Ơs = 150 MPa, determine the largest possible moment due...
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....
Question #2 [12 marks] 15 mm The Figure shows a steel bar of rectangular cross section...
Question #2 [12 marks] 15 mm The Figure shows a steel bar of rectangular cross section (10x40 mm) carries a tensile load P and is attached to a support by means of a round pin of diameter 15 mm. The allowable stresses for the bar in tension and the pin in shear are Gallow -120 MPa and Tallow 60 MPa, respectively. What is the maximum permissible value of 10 mm the load P? 40 mm Question #3 [16 marks] Cross...
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....
QUESTION 11 Knowing that for the extruded beam shown in the figure below, the allowable stress is 120 MPa in tension and 150 MPa in compression. 125 mm N-A 50 mm 125 mm 150 mm The centroid () measured from bottom of cross-section is: [mm.] 114.7 138.25 151.32 163.17 NI QUESTION 12 The moment of inertia () around neutral axis (N.A.) is: [m 122.16x 10 5 165.56x 10 5 212.45x 10 6 310.11x 10 5
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
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' (mm2), and the 2d moment of area about x-x axis is Lu 10 (mm). (50%) Figure Q.2 e106.1 mm xx 1611 240 a. Calculate the maximum allowable prestressing force if, at the prestressing stage, the allowable stresses are 1 N/mm2 tension and 20 N/mn2 compression. What applied moment can then be...
P8.008 The dimensions of the double-box beam cross section shown in the figure are b = 190 mm, d = 65 mm, and t = 3 mm. If the maximum allowable bending stress is 19 MPa, determine the maximum internal bending moment Mz magnitude that can be applied to the beam. Answer: Mz = N-m
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...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as indicated) is strengthened at the bottom using 3 steel reinforcement plates of the same 12mm thickness (see figure), perfectly glued to the wooden beam. The modulus of elasticity for wood is E,-12 GPa and for steel E,-200 GPa. Given the allowable stresses (in both tension and compression) for wood ơw-12 MPa and for steel Ơs = 150 MPa, determine the largest possible moment due...
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....
Question #2 [12 marks] 15 mm The Figure shows a steel bar of rectangular cross section (10x40 mm) carries a tensile load P and is attached to a support by means of a round pin of diameter 15 mm. The allowable stresses for the bar in tension and the pin in shear are Gallow -120 MPa and Tallow 60 MPa, respectively. What is the maximum permissible value of 10 mm the load P? 40 mm Question #3 [16 marks] Cross...
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