Draw the Axial, Shear, and Moment Diagrams for the frames
below
Homework Answers
Analysis of Frames:
To analyze the forces and bending moment acting on each member of the frame we have to follow the following guidelines:
- Step (1): Look at the frame and determine which kind of support is acting at all joints. The type of joint will determine whether the component at that particular joint will be subjected to all three axial force, shear force and bending moment or any two of them or just one of them.
- Step (2): Now calculate the reaction forces and bending moments at the bases. To calculate the reaction forces you will need to use the equilibrium of each element subjected to different kinds of loading. It is also possible that these reactions may be evaluated very easily just considering the frame as a whole. Go for an easier method. First, apply the equilibrium of forces in a horizontal and vertical direction along with moment equation about one reaction point.
- Step (3): Break the frames into pieces including each member and the corners/joints and draw their free body diagram showing all the forces and moments acting. Here, the thumb rule at work is that each element is in equilibrium so if you know the forces and moment at one end of the member as well as loading to which it is subjected, you can easily determine the forces and moment on the other end just by applying equilibrium.
- Step (4): Draw axial force, shear force and bending moment diagram representing all the values evaluated in the above step as shown in the following solved problem.
Note: For a member inclined at some angle to the vertical or horizontal direction under any kind of load, we will have to determine the components of all the forces acting on it and show which one is contributing as shear force and which one as the axial load.
Here is the solution for problem (a):
For the frames below: (i) draw the free body diagrams (ii) draw the shear and moment diagrams (iii) use the virtual for...
For the frames below: (i) draw the free body diagrams (ii)
draw the shear and moment diagrams (iii) use the virtual force
method to determine the horizontal displacement at joint B.
Assume I1 = 200, I2 = 800, E = 29000 ksi
1.2 kip/ft 20 ft 8.4 1.6 16.27 22.13 75.86 30 32 ft kip ft3 UR -in
1. (60 points) Draw axial, shear, and bending moment diagrams for the frame shown below. Draw...
1. (60 points) Draw axial, shear, and bending moment diagrams for the frame shown below. Draw one set of P, V, and M diagrams for Column AB, one set for Beam BE, and one set for Column DF. There is a fixed support at A and applied forces and moments as shown below. 500 lb 500 lb 5 k-ft 5 k-ft D 5 k-ft B 10 10' 10' E 500 lb/ft 10' 10' 5k s tiskt 5 k-ft 1k 2....
For the two frames given below Compute the Support Reactions Draw the Free Body Diagrams for...
For the two frames given below Compute the Support Reactions Draw the Free Body Diagrams for all members, and joints with concentrated load or moment Draw the Bending Moment Diagram, Shear Force Diagram, and Axial Force Diagram using the sign conventions and labeling scheme taught in the class Draw the Qualitative Deflected Shape, clearly showing the Inflection Points, if any. 1. (50 points) 45 k Need FBD 3 k/ft 15 ft 2. (50 points) 15 kN/m F G 65 kN...
Analyze the Frames shown below. Draw the shear and moment diagrams and sketch the approximate deflected...
Analyze the Frames shown below. Draw the shear and moment
diagrams and sketch the approximate deflected shape
Settlement at A = 1” and at C = .5” E = 30000 kis, I = 240
in4
2k/ft 8 k B EI EI 36 k-ft С 12'1 EI A 12' 8'
For Problems 6.66 through 6.79, draw the shear and moment diagrams for the frames shown. Both supports are pin supports....
For Problems 6.66 through 6.79, draw the shear and moment
diagrams for the frames shown. Both supports are pin
supports.
(Ans: max V=-78.5 k, max M = 1339 kft) P6.71 80 k 13 50 k 30ft 10 ft Problem 6.71
(Ans: max V=-78.5 k, max M = 1339 kft) P6.71 80 k 13 50 k 30ft 10 ft Problem 6.71
draw the shear and bending moment diagrams. determine the maxium absolute values of the sheer bending...
draw the shear and bending moment diagrams. determine the maxium absolute values of the sheer bending moment. 20 kN/m С M=12 kN.m A B -2 m 2 m
4. SHEAR AND MOMENT DIAGRAMS Determine the shear and moment diagrams for the beam shown below....
4. SHEAR AND MOMENT DIAGRAMS Determine the shear and moment diagrams for the beam shown below. There is a pin at A and a rocker at B. a. There are 3 sections. Draw the FBD for each section. Also, give the shear and moment equation for each section. 125 lb/ft 1000 lb х 10 ft 6 ft 10 ft
4. SHEAR AND MOMENT DIAGRAMS Determine the shear and moment diagrams for the beam shown below....
4. SHEAR AND MOMENT DIAGRAMS Determine the shear and moment diagrams for the beam shown below. There is a pin at A and a rocker at B. a. There are 3 sections. Draw the FBD for each section. Also, give the shear and moment equation for each section. у 125 lb/ft 1000 lb х A 10 ft B 6 ft 10 ft
4. SHEAR AND MOMENT DIAGRAMS Determine the shear and moment diagrams for the beam shown below....
4. SHEAR AND MOMENT DIAGRAMS Determine the shear and moment diagrams for the beam shown below. There is a pin at A and a rocker at B. a. There are 3 sections. Draw the FBD for each section. Also, give the shear and moment equation for each section. у 125 lb/ft 1000 lb Х A B 10 ft 6 ft 10 ft
4. SHEAR AND MOMENT DIAGRAMS Determine the shear and moment diagrams for the beam shown below....
4. SHEAR AND MOMENT DIAGRAMS Determine the shear and moment diagrams for the beam shown below. There is a pin at A and a rocker at B. a. There are 3 sections. Draw the FBD for each section. Also, give the shear and moment equation for each section. у 125 lb/ft 1000 lb 10 ft 6 ft 10 ft B
For the frames below: (i) draw the free body diagrams (ii)
draw the shear and moment diagrams (iii) use the virtual force
method to determine the horizontal displacement at joint B.
Assume I1 = 200, I2 = 800, E = 29000 ksi
1.2 kip/ft 20 ft 8.4 1.6 16.27 22.13 75.86 30 32 ft kip ft3 UR -in
1. (60 points) Draw axial, shear, and bending moment diagrams for the frame shown below. Draw one set of P, V, and M diagrams for Column AB, one set for Beam BE, and one set for Column DF. There is a fixed support at A and applied forces and moments as shown below. 500 lb 500 lb 5 k-ft 5 k-ft D 5 k-ft B 10 10' 10' E 500 lb/ft 10' 10' 5k s tiskt 5 k-ft 1k 2....
For the two frames given below Compute the Support Reactions Draw the Free Body Diagrams for all members, and joints with concentrated load or moment Draw the Bending Moment Diagram, Shear Force Diagram, and Axial Force Diagram using the sign conventions and labeling scheme taught in the class Draw the Qualitative Deflected Shape, clearly showing the Inflection Points, if any. 1. (50 points) 45 k Need FBD 3 k/ft 15 ft 2. (50 points) 15 kN/m F G 65 kN...
Analyze the Frames shown below. Draw the shear and moment
diagrams and sketch the approximate deflected shape
Settlement at A = 1” and at C = .5” E = 30000 kis, I = 240
in4
2k/ft 8 k B EI EI 36 k-ft С 12'1 EI A 12' 8'
For Problems 6.66 through 6.79, draw the shear and moment
diagrams for the frames shown. Both supports are pin
supports.
(Ans: max V=-78.5 k, max M = 1339 kft) P6.71 80 k 13 50 k 30ft 10 ft Problem 6.71
(Ans: max V=-78.5 k, max M = 1339 kft) P6.71 80 k 13 50 k 30ft 10 ft Problem 6.71
draw the shear and bending moment diagrams. determine the maxium absolute values of the sheer bending moment. 20 kN/m С M=12 kN.m A B -2 m 2 m
4. SHEAR AND MOMENT DIAGRAMS Determine the shear and moment diagrams for the beam shown below. There is a pin at A and a rocker at B. a. There are 3 sections. Draw the FBD for each section. Also, give the shear and moment equation for each section. 125 lb/ft 1000 lb х 10 ft 6 ft 10 ft
4. SHEAR AND MOMENT DIAGRAMS Determine the shear and moment diagrams for the beam shown below. There is a pin at A and a rocker at B. a. There are 3 sections. Draw the FBD for each section. Also, give the shear and moment equation for each section. у 125 lb/ft 1000 lb х A 10 ft B 6 ft 10 ft
4. SHEAR AND MOMENT DIAGRAMS Determine the shear and moment diagrams for the beam shown below. There is a pin at A and a rocker at B. a. There are 3 sections. Draw the FBD for each section. Also, give the shear and moment equation for each section. у 125 lb/ft 1000 lb Х A B 10 ft 6 ft 10 ft
4. SHEAR AND MOMENT DIAGRAMS Determine the shear and moment diagrams for the beam shown below. There is a pin at A and a rocker at B. a. There are 3 sections. Draw the FBD for each section. Also, give the shear and moment equation for each section. у 125 lb/ft 1000 lb 10 ft 6 ft 10 ft B
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