Answered: For the truss shown on the figure,…

For the truss shown on the figure, determine: Stress at element 4 if u3= 0.175 in and v3=0.5 in A=10in^2 E=30*10^6 mite bobodor O O 20 A P-1000 15 A P-1000 b

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The total degree of static indeterminacy of truss shown below is

Q: Consider the truss shown in (Eigure 1). AE is constant. Assume that AE is in kN. Use the principle…

A: Using principle of virtual work, we need to find out horizontal displacement of point A

Q: A 0.2 mm thick tape goes over a frictionless pulley of 25 mm diameter as shown in figure. If E of…

Q: During a recuperation test, the water level in an open well was depressed by pumping by 2.5 metres…

Q: Water flows through a 100 mm diameter pipe with a velocity of 0.015 m/s. If the kinematic viscosity…

Q: A mild steel plate of width 120 mm and thickness 10 m is nest into an arc of a circle of radius 10 m…

A: Given -Width, b = 120 mmThickness, t = 10 mmRadius, R = 10 m = 10000 mmTo find -The magnitude of the…

Q: The plan area of a reservoir is 1 km². The water level in the reservoir is observed to decline by20…

A: Plan area of a reservoir A = 1 km2. The water level in the reservoir is observed to decline by 20 cm…

Q: ind the reaction and draw axial , shear and moment diagrams

A: To find the reaction at all supports and to draw axial , shear and moment diagrams in the given…

Q: Given the following, pick the correct shear diagram for this beam from below. ● ● ● D1₁ = 10 ft D₂ =…

Q: A rigid bar ABC is pinned at A and is connected by a steel bar CE and a copper bar BD as shown in…

Q: For D=1500ft and R=510ft, compute Rx to fit the requirements of the figure and make the tangent…

A: D = 1500 ft R = 510 ftTo find:Rx

Q: Identify the type of vertical curve (sag or crest) by the following rates of change in grade. -0.5%…

Q: For the pipeline sytem shown below determine a) DBC if LBC = "100*k" m b) LBC if DBC = 15 cm AB BC…

A: L (m)D (cm)Q (l/s)fAB100k570.02BC0.02AC200k5100.02k = 84a) LBC = 100k m, DBC = ?b) DBC = 15 cm, LBC…

Q: AW18 x 40 standard steel shape is used to support the loads shown on the beam. Assume P = 28 kips, w…

A: The beam with loadings is shown below.For W18 x 40,Depth h = 17.9 inMoment of Inertia, I = 612 in4

Q: Why is the triangle method called the head – to – tail (or tip – to – tail) method

A: In civil engineering, vectors often represent forces acting on a structure or the components of a…

Q: What will be depth of flow (in m) in a most efficient trapezoidal section if it is required 3 to…

A: Most efficient trapezoidal section-Discharge Q=5.45 m3/sSide slope 1:1Manning's roughness…

Q: A 45 ° slope as shown in figure has been excavated to a depth of 6 m in a saturated clay having the…

Q: Slope Deflection Method Instructions: Solve the following problems completely using Slope Deflection…

A: Given:Required:Support reaction, shear force and moment diagram

Q: Draw the moment diagram for the beam.

A: To draw the Moment Diagram of the given beam.

Q: Det. the force in each member of the roof truss and identify if (C) – compression or (T) – Tension…

A: Given:Required:Member forces

Q: Why is it that architecture is so important? Visualise two different project maps, one with…

A: The built environment is shaped by the architecture, which influences functionality, aesthetics, and…

Q: 2. Determine the location of the plastic center from the geometric centroid of the gross section in…

A: 5-28mmf'c = 21 Mpafy = 415 Mpa

Q: What will be the value of coefficient of permeability (k) for an unconfined aquifer 10 m thick…

A: An unconfined aquifer-Thickness t=10 m,Discharge Q=360 m3/dObservation well at 20 m from pumping…

Q: (Figure 1), take b = 9 in. and h = 19 in. gure y = x 1 of 1 Locate the centroid ÿ of the area.…

A: The equation of the given shape,To determine the centroid about the y-axis of the given structure.

Q: P1 = 11 k P2 = 12 k w = 1 k/ft L = 24 ft Ад 44 44 NO iP₂ 2 44 4/4 3

Q: Determie the rotation or twist in degrees of a shaft, 630 mm long subjected to a torque of 81 N-m,…

Q: The IS 2021 (Impeller shaft) of a fluid agitator transmit 31 kW at 510 rpm. Given that the allowed…

Q: QUESTION 1: For the HE300M cross-section steel column, which is under the effect of 335kN from fixed…

A: Dead Load, DL = 335 kNLive Load, LL = 825 kNfy = 235 MPafu = 360 MPafc = 25 MPaSection properties:d…

Q: information about matlab software

A: Reference : MATLAB software, Structure Engineering.MATLAB : The full form of MATLAB is the Matrix…

Q: Q.1 Glycerine (μ = 150 Pa.s and p = 1260 kg/m³) flows at a velocity of 5.0 m/s in a 10 cm diameter…

Q: Assuming the conduit in the figure is a 36” wrought iron pipe flowing full, and that the outlet is…

A: Conduit dimension = 36 '' For wrought iron, the friction factor will be = 0.008To find:The head loss…

Q: A mild steel flat of width 120 mm and thickness 10 mm is bent into an arc of a circle of radius 10 m…

A: Width of mild steel flat b=120 mm,Thickness t=10 mm,Radius R=10 m,To Find-The value of the pure…

Q: What are the societal advantages of architecture? Examine the distinctions between a project…

A: The role of architecture in shaping our built environment is crucial and has significant societal…

Q: Question 1 Determine the moments at 1 and 3. Assume 2 is a roller and 1 and 3 are fixed. El is…

A: EI = ConstantDetermine the moment at point 1 and 3. Let's solve using Slope-Deflection Method.

Q: P12.6. For the beam in Figure P12.6, draw the influence lines for reactions at B, C, E, and G, and…

A: Given continuous beam and Uniform load of 2 kips/ft is applied over the entire length of the beam.It…

Q: If the vehicle is of 3 m long and moves at a speed of 80km/hr and the perception-reaction time is…

A: Length of vehicle, L = 3mSpeed, V = 80km/hrReaction time, tr = 2.5 secCoefficient of friction, To…

Q: An interior flat-plate panel is supported on columns spaced 18 ft x 20 ft. The panel dimensions,…

A: We will follow the ACI Code direct design method in designing the interior flat-plate panel and…

Q: Using the force method, calculate the bending moment at B for the statically indeterminate frame…

Q: Q.15 The minimum velocity required to transport coarse sand through a sewer of 40 cm diameter with…

A: Diameter of the sewer =40 cm,Diameter of the particles d=1 mm=1x10-3Specific gravityg=2.7Friction…

Q: Draw the shear force and bending moment diagrams for the frame.

A: Given:Required:Shear force and bending moment diagram

Q: A composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 70 GPa] bars,…

A: Given:Required:Maximum bending stress in aluminiumMaximum bending stress in brass

Q: Two vertical rods, one of steel and the other of copper, with cross-sectional areas 500 mm² and 1000…

A: Cross sectional area of steel (As) = 500 mm2Cross sectional area of copper (Ac) = 1000 mm2Total load…

Q: The motion of rod AB is guided by the pins at A and B, the which slide into the grooves shown. In…

Q: What is the allowable bending strength (ASD) of the cantilever beam shown below considering the…

Q: A cylindrical tank has a mean radius of 40 cm and thickness of 10 cm. It is subjected to an external…

Q: A municipal wastewater treatment plant processes an average flow of 5000 m³/d. A primary clarifier…

A: Flowrate = 5000 m3/d% solids removed = 60%

Q: ulate the minimum wall thickness (in) for a cylindrical vessel that is to carry a gas at a pressure…

Q: Calculate the velocity of a 1.5 ft x 3 ft flat plate that is pulled through a t= 0.04 inch thick…

Q: essons / Various / ENGINEERING FACULTY a) V1= b) Q1= c) Q2= The end of the pipe with a diameter of…

A: Given data in question Velocity at 2 and 3 are 12 m/sDiameter D1 150 mmD2 100 mmD3 75 mmTo find out…

Q: A 500-ft curve, grades of g₁ = +1.50 % and g₂ = -2.50%, VPI at station 96 + 80 and elevation 841.26…

A: The initial grade of the curve = 1.5%The final grade of the curve = -2.50%The station of point of…

Question

For the truss shown on the figure, determine:
Stress at element 4 if u3= 0.175 in and v3=0.5 in
A=10in^2
E=30*10^6
moder
onfront
O
O
Ⓒ
e
20 A
Ⓡ
O
P-1000 >
15 A
P-1000 b

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Calculation of AE/L

VIEW

Step 3: Member properties Table

VIEW

Step 4: Local Stiffness matrix of members 1,2 & 3

VIEW

Step 5: Local Stiffness matrix of members 4,5 & 6

VIEW

Step 6: Assembling global stiffness matrix

VIEW

Step 7: Force vector [P]

VIEW

Step 8: Force in element 4

VIEW

Step 9: Stress in element 4

VIEW

Solution

VIEW

Step by step

Solved in 10 steps with 15 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The truss shown below has pin support at A and roller support at B. The support A is susbjected to a vertical downward displacement of -0.5 mm and support B is susbjected to a vertical upward displacement of 0.4 mm. The cross sectional areas are 500 mm2, 250 mm2, and 1414 mm2 for element 1, 2, and 3, respectively. The length of element 1 and 2 is 10 m. Assume E = 200 GPa for all members. Calculate the horizontal and vertical displacements at node 3 of the truss. Use bar element formulation. 1 kN 3 2 kN (2) Y 45° 1 (1) A
Determine the equivalent state of stress on an element at the same point oriented = 40° clockwise with respect to the element shown. Take ay = 80MPa. Oy 100 MPa OA. Ox = 25.6MPa; oy = 25MPa ; txy' = 75MPa OB. Ox=25.6MPa; ay = 25MPa; txy' = 88.6MPa OC. ox=25.6MPa ; oy = -5.63MPa; Tx'y' = 88.6MPa OD. Ox=25MPa ; ay = 25Pa; tx'y' = 75MPa
For the truss shown in the following figure, the temperature of member BC is raised by 110 °C, and member BD is raised by 70 °C. EA=300000 N for all members and a=1/75000 1/°C. Use the stiffness method to do the following: b) Ay = c) B₂ A | C ΤΙΣ Part 1. Calculate the displacements at the joints: a) Az = d) By = e) C₂ mm mm mm mm mm Part 2. Calculate the force in each member: a) NAB = b) NAC = c) NBD = d) NBC = e) Ncp = f) NAD = 5 m N N N N N N B D 5 m
The truss is subjected to the system of forces as shown in the following figure. The truss is supported by a pin at A and a pin at E. If P1 = P2 = 4 kN, the force in member (CB) is equal to. %3D A 30° 30° OC E D 3 m 3 m P1 P2 Select one: a. 4.618 kN - Tension b. 8 kN - Compression C. 2 kN - Tension d. 8 kN - Tension
For the truss shown in the following figure, the temperature of member BC is raised by 140 °C, and member BD is raised by 160 °C. EA=300000 N for all members and a=1/75000 1/°C. Use the stiffness method to do the following: A b) Ay II C Part 1. Calculate the displacements at the joints: a) A₂ = c) B₂ = d) By = e) C₁ = 3112 mm mm mm mm mm -5m- Part 2. Calculate the force in each member: a) NAB= N b) NAC = N c) NBD = N d) NBC = N e) NCD = N f) NAD = N B D 5m
Rigid bar ABC is supported by two aluminum alloy (E = 10,000 ksi) rods as shown below. The horizontal distance between rods (1) and (2) is a = 120 in. Rod (1) has a length of L1 = 87 in. and a cross-sectional area of A1 = 0.65 in.2. Rod (2) has a length of L2 = 84 in. and a cross-sectional area of A2 = 1.15 in.2. Rigid bar ABC is to remain horizontal under a load of P = 25 kips. Determine the distance x (in inches rounded to the nearest tenths) from joint A to the location of load P so that bar ABC remains horizontal.
3.22 For the truss shown in Figure P3-22 solve for the horizontal and vertical components of displacement at node 1 and determine the stress in each element. Also verify force equi- librium at node 1. All elements have A₁ = 1 in.² and E = 10 106 psi. Let L = 100 in. 777 2 60° 30° 1000 lb 1000 lb Figure P3-22
The truss shown in the figure is applied with force P = 5kN 1.50 m 1.50 m 1.50 m B 2m 2m What is the force in member BC in kN?
A truss is subjected by a force F = 20kN shown as in Fig.1. The materials of E=200 GPa, and allowable stress σ allow =150 MPa are given. Displacement at B support is smaller than 0.5 ‰ of the length of member 3. Determine the cross-section areas of these three members
2.4 The truss shown is the same as in Example 2.1 except that the area of bar ab is a variable. E = 200,000 MPa. (a) For what value of Aah is v. = 0? Is this a function of the magnitude of the applied load? (b) Is it possible to obtain zero u, by varying A? (c) Suppose the applied load were vertical rather than horizontal, would it then be possible to obtain zero u, by varying Aab? If so, for what value of Aab? What would be the corresponding v.? 500 kN Fah = +400.6 kN Aab 4 m 6 m 3 m Problem 2.4 Fac = -277.8 kN Aae = 8000 mm?
1. For the roof truss shown in Figure 3, determine the force present in ele- ment GH and in each element located to the right of GH. Also, establish whether the elements are in tension or compression. (I suggest you start from node M applying the method of nodes until you get to element GH) -2.4 m--2.4 m-1.2 m-2.4 m--2.4 m--1.2 m- 1.5 kN 1.5 kN 1.5 kN 1.5 kN D VI 1.5 kN 1 kN В 2.5 m E Ук 1 kN 1m H F Figura 3. Cercha 3. 2.Determine the force in the elements ED, EH, and GH of the reinforcement (see Figure 4), and establish whether the elements are in tension or compres- sion. (Use the method of sections). Figura 4. Cercha 4. 50 kN 40 kN -2 m -2 m- -2 m- 1.5 m -30 kN 1.5 m B 40 kN 1.5 m
1. For the roof truss shown in Figure 3, determine the force present in ele- ment GH and in each element located to the right of GH. Also, establish whether the elements are in tension or compression. (I suggest you start from node M applying the method of nodes until you get to element GH) -2.4 m--2.4 m-1.2 m-2.4 m--2.4 m--1.2 m- 1.5 kN 1.5 kN 1.5 kN 1.5 kN D VI 1.5 kN 1 kN В 2.5 m E K 1 kN 1m H M F