Concept explainers
(a)
Categorize the given truss is stable or unstable.
Verify the truss is determinate or indeterminate in case the truss is stable.
Find the degree of indeterminacy in case the given truss is statically indeterminate.
(a)

Answer to Problem 1P
The plane truss is stable.
The plane truss is statically indeterminate.
The plane truss is indeterminate with indeterminacy of 2.
Explanation of Solution
Use the equations to find the stability of the truss.
Here, the b is the number of bars and n is the joints.
Show the conditions for static instability, determinacy, and indeterminacy of the plane truss as follows:
Here, r is the support reactions.
Show the expression for the degree of static indeterminacy (i) as follows:
Refer the Figure of the given plane truss.
The number of the bars in the plane truss is
The number of reaction is
The number of the joints in the plane truss is
Substitute the values of b, r, and n with Equation (2).
Thus, the plane truss is stable.
Substitute the values of b, r, and n with Equation (5).
Thus, the plane truss is statically indeterminate.
Find the degree of static indeterminacy of the truss as follows:
Substitute the values of b, r, and n with Equation (6).
Thus, the plane truss is indeterminate with indeterminacy of 2.
(b)
Categorize the given truss is stable or unstable.
Verify the truss is determinate or indeterminate in case the truss is stable.
Find the degree of indeterminacy in case the given truss is statically indeterminate.
(b)

Answer to Problem 1P
The plane truss is stable.
The plane truss is statically indeterminate.
The plane truss is indeterminate with indeterminacy of 2.
Explanation of Solution
Refer the Figure of the given plane truss.
The number of the bars in the plane truss is
The number of reaction is
The number of the joints in the plane truss is
Substitute the values of b, r, and n with Equation (2).
Thus, the plane truss is stable.
Substitute the values of b, r, and n with Equation (5).
Thus, the plane truss is statically indeterminate.
Find the degree of static indeterminacy of the truss as follows:
Substitute the values of b, r, and n with Equation (6).
Thus, the plane truss is indeterminate with indeterminacy of 2.
(c)
Categorize the given truss is stable or unstable.
Verify the truss is determinate or indeterminate in case the truss is stable.
Find the degree of indeterminacy in case the given truss is statically indeterminate.
(c)

Answer to Problem 1P
The plane truss is geometrically unstable.
Explanation of Solution
Refer the Figure of the given plane truss.
The number of the bars in the plane truss is
The number of reaction is
The number of the joints in the plane truss is
Substitute the values of b, r, and n with Equation (1).
Thus, the plane truss is geometrically unstable.
(d)
Categorize the given truss is stable or unstable.
Verify the truss is determinate or indeterminate in case the truss is stable.
Find the degree of indeterminacy in case the given truss is statically indeterminate.
(d)

Answer to Problem 1P
The plane truss is stable.
The plane truss is statically indeterminate.
The plane truss is indeterminate with indeterminacy of 2.
Explanation of Solution
Refer the Figure of the given plane truss.
The number of the bars in the plane truss is
The number of reaction is
The number of the joints in the plane truss is
Substitute the values of b, r, and n with Equation (2).
Thus, the plane truss is stable.
Substitute the values of b, r, and n with Equation (5).
Thus, the plane truss is statically indeterminate.
Find the degree of static indeterminacy of the truss as follows:
Substitute the values of b, r, and n with Equation (6).
Thus, the plane truss is indeterminate with indeterminacy of 2.
(e)
Categorize the given truss is stable or unstable.
Verify the truss is determinate or indeterminate in case the truss is stable.
Find the degree of indeterminacy in case the given truss is statically indeterminate.
(e)

Answer to Problem 1P
The plane truss is geometrically unstable.
Explanation of Solution
Refer the Figure of the given plane truss.
The number of the bars in the plane truss is
The number of reaction is
The number of the joints in the plane truss is
Substitute the values of b, r, and n with Equation (1).
Thus, the plane truss is geometrically unstable.
(f)
Categorize the given truss is stable or unstable.
Verify the truss is determinate or indeterminate in case the truss is stable.
Find the degree of indeterminacy in case the given truss is statically indeterminate.
(f)

Answer to Problem 1P
The plane truss is stable and determinate.
Explanation of Solution
Refer the Figure of the given plane truss.
The number of the bars in the plane truss is
The number of reaction is
The number of the joints in the plane truss is
Substitute the values of b, r, and n with Equation (4).
Thus, the plane truss is stable and determinate.
(g)
Categorize the given truss is stable or unstable.
Verify the truss is determinate or indeterminate in case the truss is stable.
Find the degree of indeterminacy in case the given truss is statically indeterminate.
(g)

Answer to Problem 1P
The plane truss is stable and determinate.
Explanation of Solution
Refer the Figure of the given plane truss.
The number of the bars in the plane truss is
The number of reaction is
The number of the joints in the plane truss is
Substitute the values of b, r, and n with Equation (4).
Thus, the plane truss is stable and determinate.
(h)
Categorize the given truss is stable or unstable.
Verify the truss is determinate or indeterminate in case the truss is stable.
Find the degree of indeterminacy in case the given truss is statically indeterminate.
(h)

Answer to Problem 1P
The plane truss is geometrically unstable.
Explanation of Solution
Refer the Figure of the given plane truss.
The number of the bars in the plane truss is
The number of reaction is
The number of the joints in the plane truss is
The reactions are concurrent.
Refer to the given figure, all the supports are roller. So the structure is geometrically unstable.
Thus, the plane truss is geometrically unstable.
Want to see more full solutions like this?
Chapter 4 Solutions
UCD FUND OF STRUCTURAL ANALYSIS 5E
- 6. A lake with no outlet is fed by a river with a constant flow of 1200 ft3/s. Water evaporates from the surface at a constant rate of 13 ft3/s per square mile of surface area. The surface area varies with the depth h (in feet) as A (square miles) = 4.5 + 5.5h. What is the equilibrium depth of the lake? Below what river discharge (volume flow rate) will the lake dry up?arrow_forwardProblem 5 (A, B, C and D are fixed). Find the reactions at A and D 8 k B 15 ft A -20 ft C 10 ft Darrow_forwardProblem 4 (A, B, E, D and F are all pin connected and C is fixed) Find the reactions at A, D and F 8 m B 6m E 12 kN D F 4 marrow_forward
- 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
- 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





