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The frame shown is fixed supported at A and is supported by elastic springs at C in the horizonta...
The frame shown below is fixed at A and C, and is supported by a roller...
The frame shown below is fixed at A and C, and is supported by a roller at B. Use the numbering shown for the members and joints and determine the support reactions at all supports of the frame using the Stiffness Method. The 10 kN force is applied at the middle of the beam, and the 12 kN/m load is uniformly distributed on the column Take E = 200 GPa, 1 = 300(109) mm+ and A = 10(10-) mm2 for...
A rigid beam CBDA is hinged at A and supported by two springs at C and...
A rigid beam CBDA is hinged at A and supported by two springs at C and B with a vertical load 'P' at point D as shown in the given figure. The ratio of stiffness (k2/k1) of springs at B and C is 2. The ratio of forces in spring at C to that at B is k, k2 0.5 m (a) 3/4 (c) 4/3 (b) 1 (d) 2
Using the stiffness method, Calculate the stiffness matrix of the frame and show all displacements and reactions at node #2. Assume that all joints are fixed. Calculate the all bending moments and sho...
Using the stiffness method, Calculate the stiffness matrix of
the frame and show all displacements and reactions at node #2.
Assume that all joints are fixed.
Calculate the all bending moments and show in a diagram.
E=200GPa, I=300(106) & A=10(103)
24 kN/m 4m 8m 20 kN 4m
24 kN/m 4m 8m 20 kN 4m
Prob. 2. The 80 kN weight is supported by the frame with members as shown in...
Prob. 2. The 80 kN weight is supported by the frame with members as shown in figure. The radius of the pulley is 3 m. Determine the reactions at hinge supports Cand E. Also, determine the horizontal and vertical components of the force exerted by pin at B. 3 m 9 m 80 KN 5 m— 5 m
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The truss members are of a solid circular cross section having a diameter of 20 mm and an elastic modulus (E) of 80 GPa (10° N/m2). The spring has a stiffness constant of k-2000 kN/m. A point load of 15 kN is applied at the top node. The direction of the load is indicated in the figure. The code numbers for elements, nodes, DOFS, and...
b) Figure Q5(b) shows a frame ABCDE that is supported by a hinge at A and...
b) Figure Q5(b) shows a frame ABCDE that is supported by a hinge at A and E )Construct the free body diagram for the entire structure, the disc and member DBE i) By applying equation of equilibrium, determine the horizontal and vertical components of the force that is acting on the hinge of member DBE li) If the weight of the cylinder is increased to 60 N and all the reaction forces are remain unchanged, evaluate the new radius of...
The frame shown in the Figure Q.3 has rigid floors and is supported to quasi static earthquake loads shown
The frame shown in the Figure Q.3 has rigid floors and is supported to quasi static earthquake loads shown (according to AS 1170.4). Use the General Stiffness Method to analyse the frame and determine the horizontal translations at the floor levels, the bending moments in the columns and the base shears. 3A = 6.8 m3B = 17.7 kN
0.2 The axially rigid frame ABCD shown in Figure 0.2 is fully fixed to A, and...
0.2 The axially rigid frame ABCD shown in Figure 0.2 is fully fixed to A, and supported at Cand D as shown. The degrees of freedom are indicated on the frame. (1) The structural stiffness matrix [K] is related to the applied load vector [P] and the structural displacement vector [4] by: [P] = [K] 141 Construct the structural stiffness matrix [K] and the applied load vector [P] necessary to calculate the structural displacements. (18) (1) Each element stiffness matrix...
2: An automobile is traveling on a rough road (1) Draw the free-body diagrams of the...
2: An automobile is traveling on a rough road (1) Draw the free-body diagrams of the two masses and set up the equations of motion using the vertical displacements of the two masses. Note that the base excitation function y(t) is also in the vertical direction. Put the equations in matrix form Identify the mass matrix and stiffness matrix (2) Solve the structural eigenvalue problem to find the natural frequencies and mode kN shapes considering such data: m1 1000 kg,...
3. FRAME Determine the support reactions at A, B, and C. There is a fixed support...
3. FRAME Determine the support reactions at A, B, and C. There is a fixed support at A and a rocker at B. Assume the vertical link at Cacts like a rocker support. 15 kN 30 kNm ALO 6m2 m2 m2 m
The frame shown below is fixed at A and C, and is supported by a roller at B. Use the numbering shown for the members and joints and determine the support reactions at all supports of the frame using the Stiffness Method. The 10 kN force is applied at the middle of the beam, and the 12 kN/m load is uniformly distributed on the column Take E = 200 GPa, 1 = 300(109) mm+ and A = 10(10-) mm2 for...
A rigid beam CBDA is hinged at A and supported by two springs at C and B with a vertical load 'P' at point D as shown in the given figure. The ratio of stiffness (k2/k1) of springs at B and C is 2. The ratio of forces in spring at C to that at B is k, k2 0.5 m (a) 3/4 (c) 4/3 (b) 1 (d) 2
Using the stiffness method, Calculate the stiffness matrix of
the frame and show all displacements and reactions at node #2.
Assume that all joints are fixed.
Calculate the all bending moments and show in a diagram.
E=200GPa, I=300(106) & A=10(103)
24 kN/m 4m 8m 20 kN 4m
24 kN/m 4m 8m 20 kN 4m
Prob. 2. The 80 kN weight is supported by the frame with members as shown in figure. The radius of the pulley is 3 m. Determine the reactions at hinge supports Cand E. Also, determine the horizontal and vertical components of the force exerted by pin at B. 3 m 9 m 80 KN 5 m— 5 m
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The truss members are of a solid circular cross section having a diameter of 20 mm and an elastic modulus (E) of 80 GPa (10° N/m2). The spring has a stiffness constant of k-2000 kN/m. A point load of 15 kN is applied at the top node. The direction of the load is indicated in the figure. The code numbers for elements, nodes, DOFS, and...
b) Figure Q5(b) shows a frame ABCDE that is supported by a hinge at A and E )Construct the free body diagram for the entire structure, the disc and member DBE i) By applying equation of equilibrium, determine the horizontal and vertical components of the force that is acting on the hinge of member DBE li) If the weight of the cylinder is increased to 60 N and all the reaction forces are remain unchanged, evaluate the new radius of...
0.2 The axially rigid frame ABCD shown in Figure 0.2 is fully fixed to A, and supported at Cand D as shown. The degrees of freedom are indicated on the frame. (1) The structural stiffness matrix [K] is related to the applied load vector [P] and the structural displacement vector [4] by: [P] = [K] 141 Construct the structural stiffness matrix [K] and the applied load vector [P] necessary to calculate the structural displacements. (18) (1) Each element stiffness matrix...
2: An automobile is traveling on a rough road (1) Draw the free-body diagrams of the two masses and set up the equations of motion using the vertical displacements of the two masses. Note that the base excitation function y(t) is also in the vertical direction. Put the equations in matrix form Identify the mass matrix and stiffness matrix (2) Solve the structural eigenvalue problem to find the natural frequencies and mode kN shapes considering such data: m1 1000 kg,...
3. FRAME Determine the support reactions at A, B, and C. There is a fixed support at A and a rocker at B. Assume the vertical link at Cacts like a rocker support. 15 kN 30 kNm ALO 6m2 m2 m2 m
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