
Concept explainers
Find the force in each bar and mention the force is tension or compression of the bars in the truss.

Explanation of Solution
Assumptions:
- Consider the state of bars as tension (T) where the force is pulling the bar and as compression (C) where the force is pushing the bar.
- The sign of the force in the bar is positive when the force is in tension and negative when the force is in compression.
- Consider the force indicating right side as positive and left side as negative in horizontal components of forces.
- Consider the force indicating upward is taken as positive and downward as negative in vertical components of forces.
- Consider clockwise moment as negative and anti-clock wise moment as positive wherever applicable.
Show the free-body diagram of the entire truss as in Figure 1.
Find the vertical reaction at point E by taking moment about point A.
Find the vertical reaction at point A by resolving the vertical component of forces.
Find the horizontal reaction at point E by resolving the horizontal component of forces.
Consider the joint E;
Show the forces acting at the joint E as in Figure 2.
Resolve the vertical component of forces.
Use the proportion:
Resolve the horizontal component of forces.
Consider the joint D;
Show the forces acting at the joint D as in Figure 3.
Resolve the vertical component of forces.
Resolve the horizontal component of forces.
Consider the joint A;
Show the forces acting at the joint A as in Figure 4.
Resolve the vertical component of forces.
Use the proportion:
Resolve the horizontal component of forces.
Consider the joint B;
Show the forces acting at the joint B as in Figure 5.
Resolve the vertical component of forces.
Resolve the horizontal component of forces.
Consider the joint F;
Show the forces acting at the joint F as in Figure 6.
Resolve the vertical component of forces.
Resolve the horizontal component of forces.
Use the proportion:
Substitute
Substitute
Solve equation (3) and (4).
Consider the joint C;
Show the forces acting at the joint C as in Figure 7.
Resolve the horizontal component of forces.
Use the proportion:
Resolve the vertical component of forces.
Consider the joint H;
Show the forces acting at the joint H as in Figure 8.
Resolve the horizontal component of forces.
Use the proportion:
Resolve the vertical component of forces.
Consider the joint G;
Show the forces acting at the joint G as in Figure 9.
Resolve the horizontal component of forces.
Use the proportion:
Show the forces in the bars of the truss as in Figure 10.
Want to see more full solutions like this?
Chapter 4 Solutions
Fundamentals of Structural Analysis
- A simply supported beam is subjected to the end couples (bending is about the strong axis) and the axial load shown in the figure below. These moments and axial load are from service loads and consist of equal parts dead load and live load. Lateral support is provided only at the ends. Neglect the weight of the beam and investigate this member as a beam-column. Use Fy that P40 k and M = 68 ft-k. For W10 × 33: I = 171 in.4; 10 ft and C₁ = 1.0: Mn = 134 ft-kips and Mn/₁ = 89.3 ft-kips; = 50 ksi. Suppose for Lb for Lc - = 10 ft: Pn 330 kips and Pr/c = 220 kips. W10 X 33 P M M 10' Pu A) + Ферп 9 a. Use LRFD. Select the interaction formula: Mur 84, Mnz Muy + <1.0 Фь Мпу Pu Mur Muy B) + + ≤ 1.0 20c Pn Фь Мих nx ФоМпу -Select- ✓ Compute the interaction formula. (Express your answer to three significant figures.) -Select- 1.0 This member is -Select- b. Use ASD. Select the interaction formula: Ра 8 Max May A) + + <1.0 Pn/c Mnx/b Mny/b Pa Max May B) + + 1.0 2Pn/c Mnx/b Mny/b -Select- Compute the…arrow_forwardDetermine whether the given member satisfies the appropriate AISC interaction equation. Do not consider moment amplification. The loads are 50% dead load and 50% live load. Bending is about the x axis, and the steel is ASTM A992. Suppose that P = 280 k. For W12 x 106 with Fy = 50 ksi and Lc = 14 feet: Ферп 1130 kips, Pn/Sc = 755 kips, Mn = 597 ft-kips, Mn/₁ = 397 ft-kips. P 240 ft-k W12 X 106 14' K₁ = Ky = 1.0 240 ft-k a. Use LRFD. P Determine the factored axial compressive load and the factored bending moment. (Express your answers to three significant figures.) P₁ = Mu = kips ft-kips Select the interaction formula: P₁ A) + Мих Muy + ≤1.0 Ферп 9 Фь Мих of Mny Pu Мих Muy B) + 20c Pn Mnz + <1.0 Фь Мпу -Select- Compute the interaction formula. (Express your answer to three significant figures.) -Select- 1.0 This member -Select- b. Use ASD. the AISC Specification. Determine the total axial compressive load and the maximum bending moment. (Express your answers to three significant…arrow_forwardRefer to the following figure: K 6 m T 0.25 H 0.75 H 1 m A c,O,Y 3 m B 2 m 1 m C Figure Peck's (1969) apparent-pressure envelope for cuts in soft to medium clay Given: y = 17.5 kN/m³, c = 30 kN/m², 6 = 0, and center-to-center spacing of struts in the plan = 5 m. Determine the sheet-pile section modulus for the braced cut. Use all = 150 MN/m². (Enter your answer to three significant figures.) S = ×105 m³/marrow_forward
- Refer to the braced cut shown in the following figure: -3.5 m 1 m A Sand Y,',c' 2 m B 2 m C 1.5 m Given: γ · = 21 kN/m³, ′ = 40°, and c' = 0. The struts are located at 4 m center-to-center in the plan. Determine the strut loads at levels A, B, and C. (Enter your answers to three significant figures.) PA = kN PB = kN Pc kNarrow_forwardRefer to the following figures: 6 m 0.25 H 0.75 H 3 m 2 m 1 m A с.ф.у 1 m B Figure Peck's (1969) apparent-pressure envelope for cuts in soft to medium clay Given: y = 18.4 kN/m³, c = 30 kN/m², p = 0, and center-to-center spacing of struts in the plan = 5 m. Determine the strut loads at levels A, B, and C. (Enter your answers to three significant figures.) PA= kN PB = kN Pc= kNarrow_forwardRefer to the following figure: 6 m 3 m 2 m 1 m A c,φ,γ 1 m B Given: y = 17.9 kN/m³, c = 60 kN/m², 6 = 0, and center-to-center spacing of struts in the plan = 5 m. The length of the cut is 12.5 m. Determine the factor of safety against bottom heave for the braced cut. Use the equation CNC (1+0.25) FS = զ с x + H B' :) H (Enter your answer to three significant figures.) FS =arrow_forward
- Given Data Initial Road Design: • Design speed: 85 km/h • • Radius of both circular arcs: R = 845 m = 0.44 m/s³ = 250 m • Rate of gain of radial acceleration on all transitions: q Length of straight section between the curves: Lstr Redesigned Road: New design speed: 120 km/h • New radius: R' = 2500 marrow_forwardKindly answer correctly. Do not use AI.Please show the following:A diagram showing your understanding of each part of each question;Show your method of solving it; andCorrect solutions.arrow_forwardKindly show all the steps including a diagram.arrow_forward
- 4-7 Nitrogen (molecular weight 28) expands reversibly in perfectly thermally insulated cylinder from 3.5bar, 200°C to a volume of 0.09m. If the initial volume occupied was 0.03m³, calculate the work done during the expansion. Assume nitrogen to be perfect gas and take Cv = 0.741kJ/kg.K (9.31kJ) 4-8 1kg of air at 1.02bar, 20°C is compressed reversibly according to a law p.V¹³ = const., to a pressure of 5.5bar. Calculate the work done on the air and the heat flow to or from the cylinder walls during the compression. (133.5kJ/kg; -33.38kJ/kg)arrow_forwardable to help me with the question below with references (APA) for revision purpose Structural InvestigationThe Building Maintenance and Strata Management Act 2004 interprets “Structural elements,for a building means an internal or external load-bearing component of the building or part ofthe building that is essential to the stability of the building but exclude any door or window.”Loading-bearing components such as wall, column or beam, etc, are subjected to externalforces. (a) Interpret the diagnosis of a structural defect and discuss FOUR (4) external forces ona structure element that may cause structural cracks.(b) Discuss the effects of alkali-silica reaction on concrete structures and formulateFOUR (4) preventive measures.(c) Discuss the differences between chloride attack and sulphate attack on concretestructures(d) Formulate preventive measures to prevent or reduce chloride and sulphate attack onconcrete structures Hard FinishesNatural timber flooring such as timber strips…arrow_forwardDetermine the following "Side Shot" elevations given the following information:arrow_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





