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Question 3 (30 marks) A...
2. The governing differential equation that relates the deflection y of a beam to the load w ia w...
2. The governing differential equation that relates the deflection y of a beam to the load w ia where both y and w are are functions of r. In the above equation, E is the modulus of elasticity and I is the moment of inertia of the beam. For the beam and loading shown in the figure, first de m, E = 200 GPa, 1 = 100 × 106 mm4 and uo 100 kN/m and determine the maximum deflection. Note...
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q =...
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q = 18kN/m and a concentrated load of P = 23kN at the centre. Consider length of the beam, L = 3m, Young's modulus, E = 200GPa and moment of inertial, I = 30 x 10 mm-. Assume the deflection of the beam can be expressed by elastic curve equations of the form: y(x) = Ax4 + Bx3 + Cx2 + Dx + E. 1) Sketch...
Please make sure your handwriting is clear and readable. Thank you. :) 1. Determine the reactions...
Please make sure your handwriting is clear and readable. Thank
you. :)
1. Determine the reactions and draw the shear and bending moment diagrams for the shown beam using slope-deflection method. 20 kN/m 60 KN El = constant E = 70 GPa 1 = 800 ( 1 00) mm4
QUESTION 34 The simply supported beam shown in the figure below is subjected to a 3...
QUESTION 34 The simply supported beam shown in the figure below is subjected to a 3 kN concentrated force. The beam has modulus of elasticity of E-70 GPa and area moment of inertia equals to l-126x10-6 m4 Question 34- Question 38] 3 kN 5 According to successive integration method Ely(x) = x3 (x-2)3 6 12 4 () x2 8 (x+ 1)2 4 QUESTION 36 C2 = 0 QUESTION 36 C2 - 0 2 3 QUESTION 37 C1- 1.33 1.5 2.3...
Question 2 Simply supported beam ABC is subject to a point load and the patch loads...
Question 2 Simply supported beam ABC is subject to a point load and the patch loads as indicated in Figure Q2. Assume the beam has a uniform cross-section size. The Modulus of Elasticity E = 210x106 kN/m2, second moment of area l=5x105 m. Determine the deflection of beam ABC at the middle point using MacCaulay's Method. Total (15) marks. -30 KN -6 kN/m -3 kN/m B 3 m 4 m * Figure Q2: Simply supported beam ABC
Figure 1 shows a beam is supported by a pin at A and a roller at C. The beam is subjected to point loads 30 kN and 60 kN and a uniformly distributed load of 24 kN/m. Modulus of elasticity, E and momen...
Figure 1 shows a beam is supported by a pin at A and a roller at
C. The beam is subjected to point
loads 30 kN and 60 kN and a uniformly distributed load of 24 kN/m.
Modulus of elasticity, E and
moment of inertia, I for all members are 205 kN/mm2 and 195 x 106
mm4, respectively. By using
Virtual Work method,
(a) determine the slope at B. (1.801 mrad)
(b) determine the deflection at B and D. (2.4...
getting a few different answers and not sure what is correct. greatly appriciate the help Question...
getting a few different answers and not sure what is correct.
greatly appriciate the help
Question 2 Simply supported beam ABC is subject to a point load and the patch loads as indicated in Figure Q2. Assume the beam has a uniform cross-section size. The Modulus of Elasticity E = 210x106 kN/m2, second moment of area l=5x105 m. Determine the deflection of beam ABC at the middle point using MacCaulay's Method. Total (15) marks. -30 KN -3 kN/m -6 kN/m...
Hi, could you please provide a clear and easy to follow worked solution for the following questions. I will leave feedba...
Hi,
could you please provide a clear and easy to follow worked
solution for the following questions. I will leave feedback that
reflects the quality of your response.
The correct answers are
21.0kN.m
50.2MPa and 38.7MPa
22.6kN.m
A beam with the section illustrated in the figure below is subjected to pure bending with compressive stresses induced above the neutral axis. The beam is steel with a yield strength of 450 MPa, modulus of elasticity of 210 GPa and Poisson's ratio...
QUESTION 33 The simply supported beam shown in the figure (18) below is subjected to a...
QUESTION 33 The simply supported beam shown in the figure (18) below is subjected to a 3 kN/m uniformally distributed load. The beam has modulus of elasticity of E-200 GPa) and area moment of inertia equals to (/ 12.5 x 10 mm).Answer [Question 33-Question 361 3 kN/m 4 m Figure (18) The support reaction at point A in the y-direction (RAJ: (CLO6) (1 Point) 6.3 kN 48 kN 2 kN 6 kN
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and...
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and point load at Member BC and joint B. It has pinned supports A and C, while joint B is fixed connected, as can be seen in Figure 1. Take E-200 GPa. a) Using the slope-deflection method, calculate the moments and illustrate the bending moment diagram. [15 marks) b) Then calculate the shear forces and sketch the shear force diagram. [10 marks) 22 KN 10...
2. The governing differential equation that relates the deflection y of a beam to the load w ia where both y and w are are functions of r. In the above equation, E is the modulus of elasticity and I is the moment of inertia of the beam. For the beam and loading shown in the figure, first de m, E = 200 GPa, 1 = 100 × 106 mm4 and uo 100 kN/m and determine the maximum deflection. Note...
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q = 18kN/m and a concentrated load of P = 23kN at the centre. Consider length of the beam, L = 3m, Young's modulus, E = 200GPa and moment of inertial, I = 30 x 10 mm-. Assume the deflection of the beam can be expressed by elastic curve equations of the form: y(x) = Ax4 + Bx3 + Cx2 + Dx + E. 1) Sketch...
Please make sure your handwriting is clear and readable. Thank
you. :)
1. Determine the reactions and draw the shear and bending moment diagrams for the shown beam using slope-deflection method. 20 kN/m 60 KN El = constant E = 70 GPa 1 = 800 ( 1 00) mm4
QUESTION 34 The simply supported beam shown in the figure below is subjected to a 3 kN concentrated force. The beam has modulus of elasticity of E-70 GPa and area moment of inertia equals to l-126x10-6 m4 Question 34- Question 38] 3 kN 5 According to successive integration method Ely(x) = x3 (x-2)3 6 12 4 () x2 8 (x+ 1)2 4 QUESTION 36 C2 = 0 QUESTION 36 C2 - 0 2 3 QUESTION 37 C1- 1.33 1.5 2.3...
Question 2 Simply supported beam ABC is subject to a point load and the patch loads as indicated in Figure Q2. Assume the beam has a uniform cross-section size. The Modulus of Elasticity E = 210x106 kN/m2, second moment of area l=5x105 m. Determine the deflection of beam ABC at the middle point using MacCaulay's Method. Total (15) marks. -30 KN -6 kN/m -3 kN/m B 3 m 4 m * Figure Q2: Simply supported beam ABC
Figure 1 shows a beam is supported by a pin at A and a roller at
C. The beam is subjected to point
loads 30 kN and 60 kN and a uniformly distributed load of 24 kN/m.
Modulus of elasticity, E and
moment of inertia, I for all members are 205 kN/mm2 and 195 x 106
mm4, respectively. By using
Virtual Work method,
(a) determine the slope at B. (1.801 mrad)
(b) determine the deflection at B and D. (2.4...
getting a few different answers and not sure what is correct.
greatly appriciate the help
Question 2 Simply supported beam ABC is subject to a point load and the patch loads as indicated in Figure Q2. Assume the beam has a uniform cross-section size. The Modulus of Elasticity E = 210x106 kN/m2, second moment of area l=5x105 m. Determine the deflection of beam ABC at the middle point using MacCaulay's Method. Total (15) marks. -30 KN -3 kN/m -6 kN/m...
Hi,
could you please provide a clear and easy to follow worked
solution for the following questions. I will leave feedback that
reflects the quality of your response.
The correct answers are
21.0kN.m
50.2MPa and 38.7MPa
22.6kN.m
A beam with the section illustrated in the figure below is subjected to pure bending with compressive stresses induced above the neutral axis. The beam is steel with a yield strength of 450 MPa, modulus of elasticity of 210 GPa and Poisson's ratio...
QUESTION 33 The simply supported beam shown in the figure (18) below is subjected to a 3 kN/m uniformally distributed load. The beam has modulus of elasticity of E-200 GPa) and area moment of inertia equals to (/ 12.5 x 10 mm).Answer [Question 33-Question 361 3 kN/m 4 m Figure (18) The support reaction at point A in the y-direction (RAJ: (CLO6) (1 Point) 6.3 kN 48 kN 2 kN 6 kN
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and point load at Member BC and joint B. It has pinned supports A and C, while joint B is fixed connected, as can be seen in Figure 1. Take E-200 GPa. a) Using the slope-deflection method, calculate the moments and illustrate the bending moment diagram. [15 marks) b) Then calculate the shear forces and sketch the shear force diagram. [10 marks) 22 KN 10...
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