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The above question is solved based on virtual work principle
and the belongs to PLASTIC THEORY of Structural
Analysis
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A mild steel frame ABCD, in Figure 3, is supported on rollers at A and C,...
Question 3 [40 MARKS] A steel frame ABCDE, in Figure 3, is supported on rollers at...
Question 3 [40 MARKS] A steel frame ABCDE, in Figure 3, is supported on rollers at A, and is rigidly fixed at E. It carries a collapse load of 1002 kN acting at B and D. The plastic moment of resistance of members AC = 200 kNm and that of CE = 100 kNm. Using plastic theory, calculate: (a) The collapse load factor of the frame. (b) The reactions and bending moment diagram of the frame at collapse. 100 г...
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...
Use slope-deflection method to analyze the frame shown below. Segments AB and BD of the frame...
Use slope-deflection method to analyze the frame shown below. Segments AB and BD of the frame have moment of inertia I. Segment BC has moment of inertia 2/. Modulus of elasticity E is constant throughout the frame. The frame is supported by fixed-supports at A and D, and by a roller-support at C. Joint B is rigid. A downward point load of 20 kN is applied at mid-span of AB. Uniformly distributed load of intensity 2 kN/m acting downwards is...
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 continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN/m is applied force acts downward on the span of BC as shown in Figure 2. The EI of the beam is over the span of AB and a 60kN constant (a) Determine the internal moments at A and B using the slope-deflection method [10 marks] (b) Draw the bending values of bending (c) Sketch the deformed...
AB length is 4000mm AD length is 3000mm A pin jointed frame ABCD is supported by...
AB length is 4000mm
AD length is 3000mm
A pin jointed frame ABCD is supported by a pinned support at A, a roller at B and is subjected to the loading indicated in Figure Q1. All members have circular cross-section and all are made of steel materials with same cross-section. Determine the support reactions at A and B Determine all the member forces Find out the horizontal displacement at point C using a table template as shown in Table Q1....
Q1. Two rigid members (BCDE and EKN) are connected by a pin at E. The structure is supported by a...
Q1. Two rigid members (BCDE and EKN) are connected by a pin at E. The structure is supported by a pin at B and two rollers at D and N. An inclined distributed load is acting between E and K with the horizontal (12 kN/m) and vertical (16 kN/m) components. Neglect own weights and thicknesses of the members. f w 26.667 kN/m, 1.5m Draw necessary free body diagrams and determine the reaction forces at roller supports (D and N) and...
Q2(c) Figure Q1(c) shows a simply supported beam ABCD loaded as shown. The beam is pin-supported...
Q2(c) Figure Q1(c) shows a simply supported beam ABCD loaded as shown. The beam is pin-supported at D, while point B is roller-supported. Determine the support reactions. b) For span BC (2<x< 4) write down the x-dependent equation for moment. x should be measured from cnd A. Plot the shear force diagram and the bending moment diagram for the beam. Show all important values of the diagrams. d) Plot the deflected shape of the beam. c) 50KN 40kN/m 25kNm 20kN/m...
Problem 3 (19 points): A simply supported beam ABCD carries a uniformly distributed load, w, and...
Problem 3 (19 points): A simply supported beam ABCD carries a uniformly distributed load, w, and a concentrated load, F, as shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected a) Draw the free body diagram for the beam, showing all the applied and reaction forces. Find the reaction forces F=14 kN .6m b) Give the expression for the shear force, V- V(x), and the bending moment M M(x),...
The frame ABCD (Figure 2) is subject to the distributed loadw The supports do not move...
The frame ABCD (Figure 2) is subject to the distributed loadw The supports do not move 5.2 kN/mas shown. The dimensions are H-4 m and L 20 m EI is constant in each span. Learning Goal: To use the slope-deflection equations to analyze the moments in a frame with no sidesway. The slope-deflection equations for a frame member are given below, where N signifies the near end, F means the far end Part A - Write the slope-deflection equations ,...
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,...
Question 3 [40 MARKS] A steel frame ABCDE, in Figure 3, is supported on rollers at A, and is rigidly fixed at E. It carries a collapse load of 1002 kN acting at B and D. The plastic moment of resistance of members AC = 200 kNm and that of CE = 100 kNm. Using plastic theory, calculate: (a) The collapse load factor of the frame. (b) The reactions and bending moment diagram of the frame at collapse. 100 г...
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...
Use slope-deflection method to analyze the frame shown below. Segments AB and BD of the frame have moment of inertia I. Segment BC has moment of inertia 2/. Modulus of elasticity E is constant throughout the frame. The frame is supported by fixed-supports at A and D, and by a roller-support at C. Joint B is rigid. A downward point load of 20 kN is applied at mid-span of AB. Uniformly distributed load of intensity 2 kN/m acting downwards is...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN/m is applied force acts downward on the span of BC as shown in Figure 2. The EI of the beam is over the span of AB and a 60kN constant (a) Determine the internal moments at A and B using the slope-deflection method [10 marks] (b) Draw the bending values of bending (c) Sketch the deformed...
AB length is 4000mm
AD length is 3000mm
A pin jointed frame ABCD is supported by a pinned support at A, a roller at B and is subjected to the loading indicated in Figure Q1. All members have circular cross-section and all are made of steel materials with same cross-section. Determine the support reactions at A and B Determine all the member forces Find out the horizontal displacement at point C using a table template as shown in Table Q1....
Q1. Two rigid members (BCDE and EKN) are connected by a pin at E. The structure is supported by a pin at B and two rollers at D and N. An inclined distributed load is acting between E and K with the horizontal (12 kN/m) and vertical (16 kN/m) components. Neglect own weights and thicknesses of the members. f w 26.667 kN/m, 1.5m Draw necessary free body diagrams and determine the reaction forces at roller supports (D and N) and...
Q2(c) Figure Q1(c) shows a simply supported beam ABCD loaded as shown. The beam is pin-supported at D, while point B is roller-supported. Determine the support reactions. b) For span BC (2<x< 4) write down the x-dependent equation for moment. x should be measured from cnd A. Plot the shear force diagram and the bending moment diagram for the beam. Show all important values of the diagrams. d) Plot the deflected shape of the beam. c) 50KN 40kN/m 25kNm 20kN/m...
Problem 3 (19 points): A simply supported beam ABCD carries a uniformly distributed load, w, and a concentrated load, F, as shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected a) Draw the free body diagram for the beam, showing all the applied and reaction forces. Find the reaction forces F=14 kN .6m b) Give the expression for the shear force, V- V(x), and the bending moment M M(x),...
The frame ABCD (Figure 2) is subject to the distributed loadw The supports do not move 5.2 kN/mas shown. The dimensions are H-4 m and L 20 m EI is constant in each span. Learning Goal: To use the slope-deflection equations to analyze the moments in a frame with no sidesway. The slope-deflection equations for a frame member are given below, where N signifies the near end, F means the far end Part A - Write the slope-deflection equations ,...
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,...
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