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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...
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...
6 m 6 m 3m In 5 kN 6 m 3 m Figure 3 25 MARKS Question 4 For the same structure in Figure 3, deter...
6 m 6 m 3m In 5 kN 6 m 3 m Figure 3 25 MARKS Question 4 For the same structure in Figure 3, determine the support reactions using the moment distribution method.
6 m 6 m 3m In 5 kN 6 m 3 m Figure 3 25 MARKS Question 4 For the same structure in Figure 3, determine the support reactions using the moment distribution method.
Question: How to find boundaries? (the stuff in a red box) like: why is x=10? EXAMPLE...
Question: How to find boundaries? (the stuff in a red box) like:
why is x=10?
EXAMPLE 8.3 Each simply supported floor joist shown in the photo is subjected to a uniform design loading of 4 kN/m, Fig. 8-12a. Determine the maximum deflection of the joist. El is constant. 4 kN/m 10 20 kN 20 kN (4 x) N Elastic Curve. Due to symmetry, the joist's maximum deflection will occur at its center. Only a single x coordinate is needed to...
0 Question 3 a) Using the Force Method, determine the reactions at all supports. In addition to t...
0 Question 3 a) Using the Force Method, determine the reactions at all supports. In addition to the applied loads, support at A rotates 0.005 radian counterclockwise Given E=200GPa and i=150 x 106 mm! 200 x 109 (20 marks) oda rotation 5 kN/m 25 kNm 10 m 6 m By Figure 3 b) If a spring is connected at point C, determine the force in this spring using the force Method By comparing to the solution in Question 3(a), what...
This is statically indeterminate structure please solve using Engesser's theorem. 8/9 (25 marks) Question 4 The ele...
This is statically indeterminate structure please solve using
Engesser's theorem.
8/9 (25 marks) Question 4 The elevations of all points on a parabolic arch (see Figure Q4a) are given by 4 h X - y = height of point above horizontal line joining springing points; rise; where span; horizontal distance of the point from a springing point W h k L Figure Q4a The horizontal reaction, H, at the support of a parabolic arch with point load, W, at a...
Hi Could someone please kindly solve this Question? Please the formulaes you use, that would be...
Hi Could someone please kindly solve this Question? Please the
formulaes you use, that would be very helpful and please keep work
readable and tidy. Thanks.
TOTAL MARKS: 25) QUESTION 3 Two very long wires carry a current /out of the page as shown. Also shown are a hypothetical rectangular loop and a coordinate grid. 1 [5 Marks] Q 3(a) What is the direction of the magnetic field at point X? Explain. [5 Marks] Q 3(b) Is the anti-clockwise circulation...
solve this structural design question using australian standards (a) The diagram shown below (Figure 3) represents a...
solve this structural design question using australian
standards
(a) The diagram shown below (Figure 3) represents a statically determinate beam ABCDE carrying a 1 kN point load which moves along the length of the beam. The support at A is fixed, B is an internal hinge and D is a roller support. Develop the following influence lines for this beam showing the values at all points A, B, C, D and E. All dimensions are in mm. Influence line for...
please help both parts thx so much for help Question 3 1) Consider Beam ACB in...
please help both parts thx so much for help
Question 3 1) Consider Beam ACB in Figure Q3(1), determine the maximum positive moment at point C (mid-point of span AB) of the beam and show the corresponding locations of the moving loads. A moment rendering the beam bottom tension is considered positive. (14 marks) 8 kN 4 kN 6 kN 5 m Figure Q3(1) 2) Consider the cantilever shown in Figure Q3(2), draw the influence lines for (a) the moment...
15 marks Question 3 Consider the frame shown in Figure Q3 for which all elements have constant stiffness EL. Implement the flexibility method by removing the vertical support at A to create a static...
15 marks Question 3 Consider the frame shown in Figure Q3 for which all elements have constant stiffness EL. Implement the flexibility method by removing the vertical support at A to create a statically determinate system. The Volume Integral Table is found on page 8 of this examination paper Find the reactions at A and D considering that node C is equidistant to nodes D (a) and B [12 marks] (b) Draw the bending moment diagram for the frame. 13...
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...
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...
6 m 6 m 3m In 5 kN 6 m 3 m Figure 3 25 MARKS Question 4 For the same structure in Figure 3, determine the support reactions using the moment distribution method.
6 m 6 m 3m In 5 kN 6 m 3 m Figure 3 25 MARKS Question 4 For the same structure in Figure 3, determine the support reactions using the moment distribution method.
Question: How to find boundaries? (the stuff in a red box) like:
why is x=10?
EXAMPLE 8.3 Each simply supported floor joist shown in the photo is subjected to a uniform design loading of 4 kN/m, Fig. 8-12a. Determine the maximum deflection of the joist. El is constant. 4 kN/m 10 20 kN 20 kN (4 x) N Elastic Curve. Due to symmetry, the joist's maximum deflection will occur at its center. Only a single x coordinate is needed to...
0 Question 3 a) Using the Force Method, determine the reactions at all supports. In addition to the applied loads, support at A rotates 0.005 radian counterclockwise Given E=200GPa and i=150 x 106 mm! 200 x 109 (20 marks) oda rotation 5 kN/m 25 kNm 10 m 6 m By Figure 3 b) If a spring is connected at point C, determine the force in this spring using the force Method By comparing to the solution in Question 3(a), what...
This is statically indeterminate structure please solve using
Engesser's theorem.
8/9 (25 marks) Question 4 The elevations of all points on a parabolic arch (see Figure Q4a) are given by 4 h X - y = height of point above horizontal line joining springing points; rise; where span; horizontal distance of the point from a springing point W h k L Figure Q4a The horizontal reaction, H, at the support of a parabolic arch with point load, W, at a...
Hi Could someone please kindly solve this Question? Please the
formulaes you use, that would be very helpful and please keep work
readable and tidy. Thanks.
TOTAL MARKS: 25) QUESTION 3 Two very long wires carry a current /out of the page as shown. Also shown are a hypothetical rectangular loop and a coordinate grid. 1 [5 Marks] Q 3(a) What is the direction of the magnetic field at point X? Explain. [5 Marks] Q 3(b) Is the anti-clockwise circulation...
solve this structural design question using australian
standards
(a) The diagram shown below (Figure 3) represents a statically determinate beam ABCDE carrying a 1 kN point load which moves along the length of the beam. The support at A is fixed, B is an internal hinge and D is a roller support. Develop the following influence lines for this beam showing the values at all points A, B, C, D and E. All dimensions are in mm. Influence line for...
please help both parts thx so much for help
Question 3 1) Consider Beam ACB in Figure Q3(1), determine the maximum positive moment at point C (mid-point of span AB) of the beam and show the corresponding locations of the moving loads. A moment rendering the beam bottom tension is considered positive. (14 marks) 8 kN 4 kN 6 kN 5 m Figure Q3(1) 2) Consider the cantilever shown in Figure Q3(2), draw the influence lines for (a) the moment...
15 marks Question 3 Consider the frame shown in Figure Q3 for which all elements have constant stiffness EL. Implement the flexibility method by removing the vertical support at A to create a statically determinate system. The Volume Integral Table is found on page 8 of this examination paper Find the reactions at A and D considering that node C is equidistant to nodes D (a) and B [12 marks] (b) Draw the bending moment diagram for the frame. 13...
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