n the figure, compute the vertical and horizontal components of displacement of joint E produced by the loads. The area of bars AB, BD, and CD = 5 in^2 , the area of all other bars = 3 in^2. E = 30,000 kips/in^2 . Use Virtual Work Method to find the - Vertical Displacement a

n the figure, compute the vertical and horizontal components of displacement of joint E produced by the loads. The area of bars AB, BD, and CD = 5 in^2 , the area of all other bars = 3 in^2. E = 30,000 kips/in^2 . Use Virtual Work Method to find the - Vertical Displacement a

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: Question 2 Determine the moment of inertia of the area about the x axis as shown in Figure Q2.…

A: Given,to determine,Moment of inertia about the x-axis(a) having a thickness of dx(b) having a…

Q: Problem 1 Consider a problem of plane stress. It is given that σ = 2a, and that σ₂ = 3a and Os = a…

Q: The two bars (A = 2 in.? and E = 30 ksi) shown in figure shown are used to support a load P = 20 lb.…

A: Determine the horizontal displacement of point B.

Q: as shown in nd Poisson ra

Q: Determine the slope and displacement of point B of the steel beam s

A: Modulus of elasticity (E)= 200 GPaMoment of inertia (I)= 60*106 mm4A Beam system given in the figure…

Q: The basic differential equation of the elastic curve for a cantilever beam is given by the following…

A: Given the following parameters: L = 120 inches E = 30,000 ksi I = 800 in4 P = 1 kip Initial…

Q: Problem 3 The beam shown below is subjected to the loads shown in the figure. Use the moment-area…

A: EI = ConstantDetermine the displacement at point C using moment-area method.

Q: Problem 2. Use virtual work method and determine the following unknowns on the truss system shown…

Q: 2. Use the method of virtual work. Determine the vertical displacement of joint A (a) if members AB…

Q: For the given beam below, the 8 KN load is changed to 93 KN and the 4 KN load is also changed to 12…

A: Given data 8 KN load changed to 93 KN and 4 KN load also changed to 12 KN Find C1 value in KNm2…

Q: For the beam shown, solve for the deflection (in mm.) at B. Use the following data: W = 1.8 kN/m…

A: Deflection can be computed directly by using the standard formula for the given case

Q: 10 kips 3 kips/ft D B. 3 ft 4 ft 3 ft

Q: Calculate the vertical defle support at point E using the vertical deflection, use exp using the…

Q: • Determine the SLOPE AND DISPLACEMENT at point A. TAKE E = I1 GPA. THE VALUE OF "I" CAN BE SOLVED…

Q: (b) Describe how to use the virtual work principle to find the horizontal displacement at D in the…

A: AB = 2L BC = L CD = L EI constant

Q: Compute the value of P and distance X so that the bar A will remain horizontal after the application…

Q: Compute the vertical and horizontal components of displacement of joint C produced by the loads. The…

A: Castigliano's theorem states that any partial derivative of strain energy U with respect to any one…

Q: o Given: A solid circle rod which is 3 m long with a diameter of d 30 mm. The rod has an applied…

A: Given data - L = 3 m P = 85 KN d = 30 mm E = 70 GPa Poisson ratio = 1/3 Find out - Elongation of the…

Q: Show FBD

Q: Use Castigliano's Theorem to determine the vertical displacement at joint B in mm. Cross sectional…

Q: Use Virtual Work Method to answer the questions below considering the truss shown. Use the…

A: Given data- E=30 ksi,a=20×10o/oF "a" is hinge supported and "c" is roller supported. To Find- 4.…

Q: A 60 kN/m 2.0 m OB 120 kN.m 3.0 m 30 kN C 3.0 m D

A: Find the slope and deflection using double integration method.

Q: The loading of the truss is represented below. EA = 50 x 106 N Question 1. Determine the…

A: Given Data AE = 50 × 106 N Determine 1. Vertical displacement of joint-B. 2. Joint-C overall…

Q: Give me both answers

A: Draw free body diagram

Q: Use Virtual Work Method to answer the questions below considering the truss shown. Use the…

A: Virtual work Method: Virtual work method is also known as the Unit load method. In this method, the…

Q: 1. Compute the vertical and horizontal components of displacement of joint E produced by the loads.…

A: Given Area of AB,BD ,CD = 5 IN 2 All other = 3 in2 E= 30000 kips /in 2

Q: Example 2: x. A frame work's parameter is: P = 1000 kN, L = 1m, E = 210 GPa, A = 6.0 x 10-4 m²…

A: We have to find the value of displacement and the constraints forces as per the given frame in the…

Q: Find deflection at A using moment-area method. Use E = 2,000 k/in^2 and 1 = 400 in^4. 3 k A 3' B 9'…

Q: Q 7. Use the method of conjugate beam to find the slope and defection at the free end of the…

A: Given: IAB = 4000 cm4 Or IAB = 0.4 m4 EIBC = 2EIAB EICD = 3EIAB

Q: The differential equation for a vibrating system damped by a force proportional to thevelocity and…

Q: Determine the vertical displacement of joint A. The cross-sectional area of each member is indicated…

Q: A simply-supported beam is supported beam is shown in Figure 1. Determine the slope an displacement…

A: The virtual work method is also referred to as the virtual force method or also termed as the Unit…

Q: Two aluminum rods AB and BC, hinged to rigid supports are pinned together at B to carry a vertical…

A: Given data load P = 20 KN Crossection area of rod = 400 mm2 modulus of elasticity E = 70,000 MPa =…

Q: C q (/m) а (m) b (m)

Q: 1.5 m B -1 m z 2 kN A

Q: 2. Derive an equation that describes the vertical deflection of the beam, y(x), and also calculate…

Q: For the beam shown, calculate the beam slope at A. Assume that a = 77 in., b = 264 in., c = 87 in.,…

A: Given data: a = 77 in. b = 264 in. c = 87 in. w = 0.37 kips/in P = 6 kips, and EI = 1336000…

Q: Determine the vertical displacement of joint A. The cross-sectional area of each member is indicated…

Q: A 240mm diameter circular simply supported beam carries a concentrated load, uniformly distributed…

A: The question is based on the simply supported beam subjected to uniform, varying, and point load.…

Q: Using Conjugate Beam Method: The simply supported beam carries loads as shown in the figure below.…

A: Given:E = 200GPa = 200*10-6 m4I = 5*106 mm4 = 5*10-6 m4Required:Slope at A, B and CNote: As per…

Q: Find deflection at C using moment-area method. Use E = 2,000 k/in^2 and 1 = 400 in^4. 3 k A 3' B 9'…

A: Given Data E = 2000 k/in2 I = 400 in4 Find the deflection at C using Area moment method.

Question

In the figure, compute the vertical and horizontal components of displacement of joint E produced by the loads. The area of bars AB, BD, and CD = 5 in^2 , the area of all other bars = 3 in^2. E = 30,000 kips/in^2 .

Use Virtual Work Method to find the

- Vertical Displacement at Joint E

- Horizontal Displacement at Joint E

80 kips
B
120 kips
20'
E
E15' 15' - -15'

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Answer

Step 2:

Step 3;

Step 4:

Step 5;

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In the system whose loading status is given in FIGURE 2, only bending effects are considered.with "Double Integration" method;a) Cross section rotation of the beam at B point (BB) in radian unit,b) Calculate the vertical displacement (yc) of the beam at point C in mm.Beam bending stiffness (EI) is constant along the rod and its value is 10000 tm2. t/m=5 a=2m b=5m
Use virtual work method. Find vertical displacement of joint B in mm due to external force only
Assume that EI = 4.0 x 10^4 kN-m^2 is constant for the beam.
For the beam shown, derive the expressions for V and M, and draw the shear force and bending moment diagrams. Neglect the weight of the beam. I need the solution. The answer is provided in the 2nd pic.
1)
Use the conjugate-beam method and determine the slope and the displacement at the end C of the beam. E = 200 GPa, I = 70 x 10^6 mm^4
Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kN
Substitute: D=72, F=2060 Determine the friction between the block and the plane in the figure and P W the coefficient of friction of the D÷3° surface. The force required to cause impending motion to the block from moving up the D° incline is P = 1.38W, D° weight of block is W = F Newtons. %3D
2. Using the double integration method, determine the displacement at point C in the beam shown. Use E = 200 GPa. The section is given below for the moment of inertia. 8 kN 2 kN/m B 2 kN/m 4 m 4 m 100 mm 25 rmrm 100 mm 25 mm 25 mm
Consider the truss shown in (Eigure 1). AE is constant. Assume that AE is in kN. Use the principle of virtual work to solve this problem. Figure A 7 kN. 2m 60° 2m 1 of 1 Part A Determine the horizontal displacement of joint A measured rightward. Express your answer in terms of A and E. Express the coefficients using three significant figures. Enter positive value if the displacement is rightward and negative value if the displacement is leftward. 195] ΑΣΦ. 11 Ivec AL Submit Provide Feedback Request Answer ? m Next >
Find the vertical displacement (Ya) of point A in the system in the figure in mm using the virtual work method. Bending stiffness EI=4000 tm2, only consider bending effects. M=11t.m q=9t/m L1=2.7m L2=6.8m
A 6.6m cantilever beam shown carries 189KN/m uniform load. Point A is free end while point B is fixed support. Using Double Integration Method with origin at point A, calculate the second constant of integration, C2 in KN-m³. Express your answer in 2 decimal places. A W - L B