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A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN...
(a) Determine the support moments and reactions for the continuous beam (loaded as shown in Fig....
(a) Determine the support moments and reactions for the continuous beam (loaded as shown in Fig. 4a) having variable moment of inertia (1) using Slope Deflection Method when support B moves up by 0.01m. Support A is fixed and the other supports are rollers or pins. Use E 200 GPa, and1 400 x 60kN 60kN 30kN/m 60kN/m 21, B 41 20m 5m ←15 m 5m 10 m 10m Fig. 4a
The cantilever beam shown is subjected to a moment at A and a distributed load that...
The cantilever beam shown is subjected to a moment at A
and a distributed load that acts over segment BC, and is
fixed at C. Determine the reactions at the support located
at C. Then write expressions for shear and bending moment
as a function of their positions along the beam. Finally, use these
expressions to construct shear and bending moment diagrams
Draw a free-body diagram of the beam on paper. Use your
free-body diagram to determine the reactions at...
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to support uniform load 4 KN/m al...
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to support uniform load 4 KN/m along span BC and momvent at point A. U'sing Macaulay's method, L express the deflection of the beam stiffness in terms of E 6 marks) ii. determine the deflection at point C, and (2 marks) ili. calculate the slope at end A (2 marks) 3 kNm Figure QWRajah S3
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to...
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,...
The beam is shown in the figure below. Use the slope-deflection method. The support Ais pinned,...
The beam is shown in the figure below. Use the slope-deflection method. The support Ais pinned, support B is a roller, and support C is fixed. Assume El = 21537 kNm2. The support at B settles by 73 mm (downwards). The segment AB is subjected to a uniformly distributed load w= 11 kN/m. The segment BC is subjected to a point load P = 91 KN. Enter the digit one in the answer box. The link will be provided on...
QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported...
QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported at C as shown in Figure Q2. A counter-clockwise concentrated moment acts about the support A. A uniformly-distributed load acts on span BC and a vertical concentrated load acts at the free end D a) Determine the reactions at supports A and C. 4 marks) b) Obtain the shear force and the bending moment functions (in terms of x) for each segment along the...
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...
4. (3) A propped beam shown in the Figure supports a concentrated load P. In order...
4. (3) A propped beam shown in the Figure supports a concentrated load P. In order to make sure the reaction force at support B does not exceed 2 kN, what is the maximum allowable load P? Draw shear force- and bending moment-diagram, find the maximum bending moment. 1.6m-0.8 m --0.8 m Pa2 Pa
Analyse the 3 span beam shown in the Figure below by the method of moment distribution...
Analyse the 3 span beam shown in the Figure below by the method of moment distribution and draw the bending moment and shear force diagrams. You need not show the maximum values of the bending moments in the spans. El can be assumed to be a constant across all the members. 24 kN/m 36 kN/m X2 kN/m 8m X3 m XIm X1 X2 X3 6m 38 kN/m 8m
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...
(a) Determine the support moments and reactions for the continuous beam (loaded as shown in Fig. 4a) having variable moment of inertia (1) using Slope Deflection Method when support B moves up by 0.01m. Support A is fixed and the other supports are rollers or pins. Use E 200 GPa, and1 400 x 60kN 60kN 30kN/m 60kN/m 21, B 41 20m 5m ←15 m 5m 10 m 10m Fig. 4a
The cantilever beam shown is subjected to a moment at A
and a distributed load that acts over segment BC, and is
fixed at C. Determine the reactions at the support located
at C. Then write expressions for shear and bending moment
as a function of their positions along the beam. Finally, use these
expressions to construct shear and bending moment diagrams
Draw a free-body diagram of the beam on paper. Use your
free-body diagram to determine the reactions at...
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to support uniform load 4 KN/m along span BC and momvent at point A. U'sing Macaulay's method, L express the deflection of the beam stiffness in terms of E 6 marks) ii. determine the deflection at point C, and (2 marks) ili. calculate the slope at end A (2 marks) 3 kNm Figure QWRajah S3
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to...
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,...
The beam is shown in the figure below. Use the slope-deflection method. The support Ais pinned, support B is a roller, and support C is fixed. Assume El = 21537 kNm2. The support at B settles by 73 mm (downwards). The segment AB is subjected to a uniformly distributed load w= 11 kN/m. The segment BC is subjected to a point load P = 91 KN. Enter the digit one in the answer box. The link will be provided on...
QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported at C as shown in Figure Q2. A counter-clockwise concentrated moment acts about the support A. A uniformly-distributed load acts on span BC and a vertical concentrated load acts at the free end D a) Determine the reactions at supports A and C. 4 marks) b) Obtain the shear force and the bending moment functions (in terms of x) for each segment along the...
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...
4. (3) A propped beam shown in the Figure supports a concentrated load P. In order to make sure the reaction force at support B does not exceed 2 kN, what is the maximum allowable load P? Draw shear force- and bending moment-diagram, find the maximum bending moment. 1.6m-0.8 m --0.8 m Pa2 Pa
Analyse the 3 span beam shown in the Figure below by the method of moment distribution and draw the bending moment and shear force diagrams. You need not show the maximum values of the bending moments in the spans. El can be assumed to be a constant across all the members. 24 kN/m 36 kN/m X2 kN/m 8m X3 m XIm X1 X2 X3 6m 38 kN/m 8m
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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