
Calculate all the reactions and draw the moment diagrams.

Answer to Problem 6P
The vertical reaction at A is
The vertical reaction at B is
The vertical reaction at C is
The bending moment at A is
The bending moment at B is
The bending moment at C is
Explanation of Solution
Restrained structure: Clamp joint 2:
Show the free body diagram of the restrained structure as in Figure (1).
Refer Figure (1),
Find the fixed end moment of the member 1-2
Find the fixed end moment of the member 2-3
Find the moment in clamp using the relation;
Show the free body diagram of the restrained structure with FEM and moment as in Figure (2).
Show the free body diagram of the structure with unit rotation at 2 Figure (3).
Moments due to unit rotation at 2:
Find the moment at the member 1-2 using the relation;
Find the moment at the member 2-1 using the relation;
Find the moment at the member 2-3 using the relation;
Find the moment at the member 3-2 using the relation;
Find the stiffness coefficient
Find the rotation at joint 2;
Take summation moment about joint 2.
Find the moment at the member 1-2 using the relation;
Find the moment at the member 2-1 using the relation;
Find the moment at the member 2-3 using the relation;
Find the moment at the member 3-2 using the relation;
Show the free body diagram of the beam as in Figure (4).
Refer Figure (4),
Consider AB:
Find the vertical reaction at A;
Take summation moment about B.
Thus, the vertical reaction at A is
Find the vertical reaction at B;
Summation of forces about y axis is equal to zero.
Consider BC:
Find the vertical reaction at B;
Take summation moment about C.
Find the vertical reaction at C;
Summation of forces about y axis is equal to zero.
Thus, the vertical reaction at C is
Find the total vertical reaction at B;
Thus, the vertical reaction at B is
Show the free body diagram of the beam as in Figure (5).
Refer Figure (5),
Shear force calculation:
Find the distance when shear force is zero (x):
Equate the equation of shear force to zero.
Bending moment calculation:
Thus, the bending moment at A is
Thus, the bending moment at B is
Thus, the bending moment at C is
Show the shear force and bending moment diagram as in Figure (6).
Want to see more full solutions like this?
Chapter 14 Solutions
Fundamentals of Structural Analysis
- Problem 1 (A, C and D are pins) Find the reactions and A, C and D. D 6 m B 12 kN/m 8 m A C 6 marrow_forwardUniform Grade of Pipe Station of Point A is 9+50.00. Elevation Point A = 250.75.Station of Point B is 13+75.00. Elevation Point B = 244.10 1) Calculate flowline of pipe elevations at every 50 ft. interval (Half Station). 2) Tabulate station and elevation for each station like shown on example 3) Draw Sketcharrow_forward40m 150N B 40marrow_forward
- Note: Please accurately answer it!. I'll give it a thumbs up or down based on the answer quality and precision. Question: What is the group name of Sample B in problem 3 from the image?. By also using the ASTM flow chart!. This unit is soil mechanics btwarrow_forwardPick the rural location of a project site in Victoria, and its catchment area-not bigger than 25 sqkm, and given the below information, determine the rainfall intensity for ARI = 5, 50, 100 year storm event. Show all the details of the procedure. Each student must propose different length of streams and elevations. Use fig below as a sample only. Pt. E-ht. 95.0 200m 600m PLD-M. 91.0 300m Pt. C-93.0 300m PL.B-ht. 92.0 PL.F-ht. 96.0 500m Pt. A-M. 91.00 To be deemed satisfactory the solution must include: Q.F1.1.Choice of catchment location Q.F1.2. A sketch displaying length of stream and elevation Q.F1.3. Catchment's IFD obtained from the Buro of Metheorology for specified ARI Q.F1.4.Calculation of the time of concentration-this must include a detailed determination of the equivalent slope. Q.F1.5.Use must be made of the Bransby-Williams method for the determination of the equivalent slope. Q.F1.6.The graphical display of the estimation of intensities for ARI 5,50, 100 must be shown.arrow_forwardQUANTITY SURVEYINGarrow_forward
- 3. (a) Use method of joints to determine forces in all members (all distances are in mm) (b) Find the resultant force at the pin support and state its angle of inclination FIGURE 2 2400 3.3 kN 6 3.6 ky 12 2 + 2400 0.7 kN + 2400 3.3kN + 2400arrow_forwardOK i need help. Please help me work thorought this with autocad. I am not sure where to begin but i need to draw this. Well if you read the question we did it in class and I got suepr confsued.arrow_forwardA square column foundation has to carry a gross allowable load of 2005 kN (FS = 3). Given: D₤ = 1.7 m, y = 15.9 kN/m³, 0' = 34°, and c' = 0. Use Terzaghi's equation to determine the size of the foundation (B). Assume general shear failure. For o' = 34°, N₁ 36.5 and Ny = 38.04. (Enter your answer to three significant figures.) B=2.16 marrow_forward
- Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
- Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning





