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Q1. The frame shown has two pin supports at points A and B. The horizontal reaction...
For the frame shown. use the slope-deflection method to (a) Determine the end moments of each...
For the frame shown. use the slope-deflection method to (a) Determine the end moments of each member and reactions at supports (b) Draw the quantitative bending moment diagram. and also draw the qualitative deflected shape of the entire frame. 10 kN 12 kN/m 2EI 3 m 40 KN 3 m 6 m
9. A beam ABC is subjected to a combination of UDL, point loads and applied moments...
9. A beam ABC is subjected to a combination of UDL, point loads and applied moments as shown below. Draw to scale the shear force and bending moment diagrams. Label all local maximum and minimum values. Also sketch the deflected shape and indicate the location of any points of inflexion. (Ans: Moment at point D= 105kNm) 50 kNm 120 KN 20 kNm w = 10 kN/m BOTIT be 3 m 3 m 4 m Figure 5 Deflected shape Shear force...
Q2 [10 Points]: The frame below has pin supports at A and B. By Assuming that...
Q2 [10 Points]: The frame below has pin supports at A and B. By Assuming that CE is a 2-force member and by neglecting the weight of the frame, determine the reactions at A and B 4 kN 2 kN 2 m 2 m 2 m В 3 m 1m A Е 3 m 3m
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...
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 two-dimensional two-pinned portal frame ABCDE is pinned to rigid supports at positions A and E,...
A two-dimensional two-pinned portal frame ABCDE is pinned to rigid supports at positions A and E, and a concentrated couple of 350 kNm acting clockwise is applied at C as shown in Figure Q3. All members of the portal frame are made from the same steel section. 350 kNm 6 m EI CONSTANT FOR ALL MEMBERS 6 m 4 m Fgure Q3 Determine, using methods incorporating strain energy where appropriate. the magnitude and direction of the vertical and horizontal reactions...
Extra Credit: Calculate the reactions at the supports at A and C for the frame shown....
Extra Credit: Calculate the reactions at the supports at A and C for the frame shown. Hint: Isolate member AB or BC to solve for the horizontal reactions 2 kN 1.5 kN 1.5 m 1 m 0.5 m The reactions at the supports A is? The reactions at the supports C is?
QUESTION 1 In the frame shown below dimension His 7m, y is 3m, L is 7m,...
QUESTION 1 In the frame shown below dimension His 7m, y is 3m, L is 7m, x is 4m, I is 4m, h is 3m. External loads are: the horizontal point load P of 2kN is applied at B, the clockwise moment M of 5kNm is applied at D, the vertical uniformly distributed load w of 1kN/m is applied on bar FJ. Calculate reactions of supports. Note that this frame has two internal pins; at Cand at F. What 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...
50 kN 40 kN/m Q1: For the overhanging beam shown below, draw the shear force and...
50 kN 40 kN/m Q1: For the overhanging beam shown below, draw the shear force and bending moment diagrams. Write the equations for the shear force and the bending diagrams as needed. For bonus points sketch the deformation shape (elastic shape of the beam under the given loads). Hint: A is pin support, and B is roller. 4 m 2 m
For the frame shown. use the slope-deflection method to (a) Determine the end moments of each member and reactions at supports (b) Draw the quantitative bending moment diagram. and also draw the qualitative deflected shape of the entire frame. 10 kN 12 kN/m 2EI 3 m 40 KN 3 m 6 m
9. A beam ABC is subjected to a combination of UDL, point loads and applied moments as shown below. Draw to scale the shear force and bending moment diagrams. Label all local maximum and minimum values. Also sketch the deflected shape and indicate the location of any points of inflexion. (Ans: Moment at point D= 105kNm) 50 kNm 120 KN 20 kNm w = 10 kN/m BOTIT be 3 m 3 m 4 m Figure 5 Deflected shape Shear force...
Q2 [10 Points]: The frame below has pin supports at A and B. By Assuming that CE is a 2-force member and by neglecting the weight of the frame, determine the reactions at A and B 4 kN 2 kN 2 m 2 m 2 m В 3 m 1m A Е 3 m 3m
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...
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 two-dimensional two-pinned portal frame ABCDE is pinned to rigid supports at positions A and E, and a concentrated couple of 350 kNm acting clockwise is applied at C as shown in Figure Q3. All members of the portal frame are made from the same steel section. 350 kNm 6 m EI CONSTANT FOR ALL MEMBERS 6 m 4 m Fgure Q3 Determine, using methods incorporating strain energy where appropriate. the magnitude and direction of the vertical and horizontal reactions...
Extra Credit: Calculate the reactions at the supports at A and C for the frame shown. Hint: Isolate member AB or BC to solve for the horizontal reactions 2 kN 1.5 kN 1.5 m 1 m 0.5 m The reactions at the supports A is? The reactions at the supports C is?
QUESTION 1 In the frame shown below dimension His 7m, y is 3m, L is 7m, x is 4m, I is 4m, h is 3m. External loads are: the horizontal point load P of 2kN is applied at B, the clockwise moment M of 5kNm is applied at D, the vertical uniformly distributed load w of 1kN/m is applied on bar FJ. Calculate reactions of supports. Note that this frame has two internal pins; at Cand at F. What 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...
50 kN 40 kN/m Q1: For the overhanging beam shown below, draw the shear force and bending moment diagrams. Write the equations for the shear force and the bending diagrams as needed. For bonus points sketch the deformation shape (elastic shape of the beam under the given loads). Hint: A is pin support, and B is roller. 4 m 2 m
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