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(b) For the structure in Figure 4, use the Force Method to find the axial force...
Question 1) (L.0.6.1-4): Using the force method, draw the bending moment, shear force and axial force...
Question 1) (L.0.6.1-4): Using the force method, draw the bending moment, shear force and axial force diagrams for the structure shown in Figure 1. Effects of shear and axial forces on deformation are neglected. qa? B 2a Figure 1. Question 2) (L.0.7.1-4): Using the displacement method, draw the bending moment diagram for the structure shown in Figure 2. Effects of axial and shear forces on deformation are neglected. 2qa? q qa a/2 a/2 a a/2 a/2 f + Figure 2.
Beam ABC as shown in figure 2 is supported as fixed at A, a cable tie...
Beam ABC as shown in figure 2 is supported as fixed at A, a cable tie at B and a spring at C carries a uniformly distributed load of 72 kN/m on member AB and a concentrated load of 54 kN on member BC. Using the flexibility method and neglect the axial effects in the bcam, (a) perform the global flexibility matrix of the beam structure, (b) calculate the rotation at B and displacement at C, (c) draw the deflection,...
Use moment distribution method or slope deflection method. The frame shown if Fig. 2.1 is supporting...
Use moment distribution method or slope deflection
method.
The frame shown if Fig. 2.1 is supporting a lateral load of 60 kN and a gravity load of 50 kNIm. Neglect the weight of the members (a) Determine th reaction forces. (b) Draw the axial, shear, and bending moment and qualitative deflected shape diagrams of the frame. Specify values at a change of loading positions and at all points of zero shear and moment. Use slope-deflection method 2m Fig. 2.1 w...
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1 Use the Slop...
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1
Please solve using work/energy principles and Castigliano's theorems Find the compressive force in bar CD and...
Please solve using work/energy principles and Castigliano's
theorems
Find the compressive force in bar CD and the horizontal displacement at point C for the structural system of an L-shaped frame and a truss bar. The frame has a constant bending rigidity EI. The strain energies due to shearing force and axial force are negligible in comparison with that due to bending moment in the frame structure ABC. Hint: Assume the force in BC beam and CD bar is S. Solve...
Analyse the ten members truss structure shown in Figure 02 using Compatibility Method and calculate the...
Analyse the ten members truss structure shown in Figure 02 using Compatibility Method and calculate the axial force acting on member EC Take the Young's Modulus and the cross-sectional area of each member to be constant. 2(a) (15 marks 5 m 20 35 kN Figure Q2: Ten members truss b) Find the force in member BC 3 marks) Find the force in member BF 2 marks)
8. The cantilever beam in Figure Q8 subjects to concentrated loading. The cross section geometry gives...
8. The cantilever beam in Figure Q8 subjects to concentrated loading. The cross section geometry gives the second moment of area / 100 x 10 m. The longitudinal geometry of the beam: a 2 m, b 1 m. The material of the beam: Young's modulus E 200 GPa. The loading: concentrated force P 10 KN. (a) Determine the reactions to the beam at the fixed end. (b) Determine the rotation angle at point x-a (c) (Determine the deflection at the...
A beam with a square cross-section is in a combined state of loading. There is an axial force N 350 kN acting in the x-...
A beam with a square cross-section is in a combined state of loading. There is an axial force N 350 kN acting in the x-direction, a torque T 50 kNm acting about the x-axis, and a bending moment M 40 kNm acting about the z-axis as shown. The side length of the beam is a 15.0 cm. B T a (a) Find the nomal stress due to N and M at points A and B. [10 marks] (b) Find the...
Q5. The cantilever beam, AC, is subjected to the load case shown in Figure 5. For the loading shown, do the following: [10 Marks] a) Calculate the magnitude and direction of the reactions at A b) Usi...
Q5. The cantilever beam, AC, is subjected to the load case shown in Figure 5. For the loading shown, do the following: [10 Marks] a) Calculate the magnitude and direction of the reactions at A b) Using the Macaulay function, determine the displacement in y of the point B of the beam (x 2.4 m from the support at A) [10 Marks] c) Determine the slope at B. [5 Marks] The beam has a Young's modulus of E-200 GPa and...
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine t...
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine the bending moment and shear force at section C due to the loading as shown in the figure. 2. 3. There is a distributed live load (w#2.5kN/m) which can vary the location along the beam. Determine the location of the live loads which create the...
Question 1) (L.0.6.1-4): Using the force method, draw the bending moment, shear force and axial force diagrams for the structure shown in Figure 1. Effects of shear and axial forces on deformation are neglected. qa? B 2a Figure 1. Question 2) (L.0.7.1-4): Using the displacement method, draw the bending moment diagram for the structure shown in Figure 2. Effects of axial and shear forces on deformation are neglected. 2qa? q qa a/2 a/2 a a/2 a/2 f + Figure 2.
Beam ABC as shown in figure 2 is supported as fixed at A, a cable tie at B and a spring at C carries a uniformly distributed load of 72 kN/m on member AB and a concentrated load of 54 kN on member BC. Using the flexibility method and neglect the axial effects in the bcam, (a) perform the global flexibility matrix of the beam structure, (b) calculate the rotation at B and displacement at C, (c) draw the deflection,...
Use moment distribution method or slope deflection
method.
The frame shown if Fig. 2.1 is supporting a lateral load of 60 kN and a gravity load of 50 kNIm. Neglect the weight of the members (a) Determine th reaction forces. (b) Draw the axial, shear, and bending moment and qualitative deflected shape diagrams of the frame. Specify values at a change of loading positions and at all points of zero shear and moment. Use slope-deflection method 2m Fig. 2.1 w...
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1
Please solve using work/energy principles and Castigliano's
theorems
Find the compressive force in bar CD and the horizontal displacement at point C for the structural system of an L-shaped frame and a truss bar. The frame has a constant bending rigidity EI. The strain energies due to shearing force and axial force are negligible in comparison with that due to bending moment in the frame structure ABC. Hint: Assume the force in BC beam and CD bar is S. Solve...
Analyse the ten members truss structure shown in Figure 02 using Compatibility Method and calculate the axial force acting on member EC Take the Young's Modulus and the cross-sectional area of each member to be constant. 2(a) (15 marks 5 m 20 35 kN Figure Q2: Ten members truss b) Find the force in member BC 3 marks) Find the force in member BF 2 marks)
8. The cantilever beam in Figure Q8 subjects to concentrated loading. The cross section geometry gives the second moment of area / 100 x 10 m. The longitudinal geometry of the beam: a 2 m, b 1 m. The material of the beam: Young's modulus E 200 GPa. The loading: concentrated force P 10 KN. (a) Determine the reactions to the beam at the fixed end. (b) Determine the rotation angle at point x-a (c) (Determine the deflection at the...
A beam with a square cross-section is in a combined state of loading. There is an axial force N 350 kN acting in the x-direction, a torque T 50 kNm acting about the x-axis, and a bending moment M 40 kNm acting about the z-axis as shown. The side length of the beam is a 15.0 cm. B T a (a) Find the nomal stress due to N and M at points A and B. [10 marks] (b) Find the...
Q5. The cantilever beam, AC, is subjected to the load case shown in Figure 5. For the loading shown, do the following: [10 Marks] a) Calculate the magnitude and direction of the reactions at A b) Using the Macaulay function, determine the displacement in y of the point B of the beam (x 2.4 m from the support at A) [10 Marks] c) Determine the slope at B. [5 Marks] The beam has a Young's modulus of E-200 GPa and...
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine the bending moment and shear force at section C due to the loading as shown in the figure. 2. 3. There is a distributed live load (w#2.5kN/m) which can vary the location along the beam. Determine the location of the live loads which create the...
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