Q2b Using the direct stiffness method, determine for the beam shown: a) the displacements and rotations...
For the beam shown in below, determine the displacements and rotations at the nodes, the forces in each element, and reactions. Also, draw the shear force and bending moment diagrams 10 kN 2 E210 GPa .20 kN m For the beam shown in below, determine the displacements and rotations at the nodes, the forces in each element, and reactions. Also, draw the shear force and bending moment diagrams 10 kN 2 E210 GPa .20 kN 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...
Problem 4, (20%) For the case shown determine the displacements and the slopes at the nodes, the forces in each element, and the reactions. Also, draw the shear force and bending moment diagrams. 24 KN 4 m 4 m E = 70 GPa 1 = 2 x 10-4 m > k = 200 kN/m
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
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...
Using force method , determine the reactions of the supports for the beam shown in Figure ( 5 ) . Then draw shear and bending moment diagrams for the beam El is constant Use conjugate beam method to determine deflections , 6 m 50 KN 200 kN. 9 m - 3 m Fig. (5) BEST WISHES
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. For all answers entered, use the sign convention for shear forces and bending moments. (a) Find the location x and the corresponding bending moment M at the one point between A and B at which the shear force equals zero. (b) Consider the entire beam and determine the maximum positive...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displacements, reactions and internal forces developed in the beam Note that there is a hinge at B. Take E = 250 GPa, 1-2000 cm 10 kN 2 kN/m 5 kN-m 10 m Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below....
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. For all answers entered, use the sign convention for shear forces and bending moments (a) Find the location x and the corresponding bending moment M at the one point between A and D at which the shear force equals zero. (b) Consider the entire beam and determine the...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displacements, reactions and internal forces developed in the beam. Note that there is a hinge at B. Take E= 250 G Pa, 1 = 2000 cm- 10 kN 5 kN-m 2 kN/m 10 m Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam...