Answered: Q2: Determine the vertical displacement…

Q2: Determine the vertical displacement of joint (B) of the steel truss shown in figure (2) (use the virtual work method). A=500 mm² for each member and E-200x 10³ MPa.

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: In the Fink truss shown in Figure, the web members BC and EF are perpendicular to the inclined…

Q: For the truss shown, Fi=240KN and F2=720KN. Determine the forces in the rod BD and the rod BE (unit…

A: Given: F1=240 kNF2=720 kN

Q: 2. Solve the problem using the member stiffness relationship in the global coordinate system, F =…

A: Step 1Write the expression for the stiffness coefficient, kij when i is row number and j is column…

Q: In the Fink truss shown in Figure, the web members BC and EF are perpendicular to the inclined…

Q: The force in member AB of truss joint B shown in figure is given a 15 N B• - 10 N AB

Q: A beam and a truss element are connected at joint 1 and loaded by 500 kN force. Use FEA to calculate…

A: The above problem can be solved by using the equilibrium equation by resolving the components in X…

Q: Compute the vertical displacement of joints Band C for the frame shown in the figure. Given: /= 360…

Q: The rigid bar ABC is supported by a pin at A and a steel rod at B. Determine the magnitude of the…

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.7 in., b = 5.9 in., d = 4.1…

A: Given Moment in z direction= -3.75kip-ft

Q: Consider

Q: A truss is given in the Figure below. The truss is supported by hinges at joint 1, joint 2 and joint…

A: A truss is an assembly of beams or other elements that forms a rigid structure and the triangulation…

Q: 14 kips. Consider only flexural deformations. | A B 7'-

Q: em 3 The three bars are made of A-36 steel and form a pin- connected truss. Figure 1 of 1 A Part A…

A: Given :

Q: For the truss shown below determine the vertical displacement at joint A using the method of virtual…

Q: Use the virtual work method to determine the deformation at joint B of the truss shown. 3 m A -2 m-…

Q: Determine the horizontal displacement of joint D of the truss as shown. Take E = 29(103) ksi. The…

Q: Determine the member force of the truss shown in Figure Q6 by the force method. 1.5 m 20 kN. +2m 50…

Q: 4.4. The members of the structure shown in Figure P4-4 are 8 × 6 × 9/16 structural tubing with 1 =…

A: w = 2k/ft = 2/12 klb/inch l12 = l43 = 8feet l23 = 6feet

Q: B L L А D L

Q: Consider the deformable pin-jointed truss with loading, geometry and section properties as shown in…

Q: F 26 2 C S X 2 B A solid bar S (E-200 GPa, A=100 mm²) is attached to a cantilever beam (E-200 GPa,…

Q: The cross sectional area of each member of the truss shown in the figure is A = 500 mm^2 and E = 200…

Q: The steel framework is used to support 200KPA load (slab) used for an office. Sketch the loading…

A: Structural steelwork can be utilized to shape the 'skeleton' edge of a structure or other assembled…

Q: 10KN 10kN node 2 A = 100 mm? E = 200 kN/mm? member 3 2m member 1 member 2 Onode 1 node 3 node 4 2m…

A: Properties of stiffness matrix: 1)A stiffness matrix is a square matrix of order n (n- no of…

Q: For the assembly shown in the figure, a force of 25 kN is applied to the ring at F. Determine the…

Q: Determine the force in members FG, BF, and CE of the truss shown in the figure below. Let P = 29 kN.…

Q: Determine the force in member CE using method of section of the truss shown if: P= 607 Kn Q= 428 Kn…

A: To find force in member CE

Q: al member is

Q: Problem 3: Find the cross sectional area of members AB, and BC for the truss shown if the stress for…

Q: 214. The rigid bars AB and CD shown in the figure are supported by pins at A and C and the 2 rods.…

Q: 3. The beam ABCD is fixed with simple support of B and C as shown in the figure below. When point A…

A: Data given Find : Find loads P and Q to make point A and D equal to point B and C

Q: int B. Each member has a cross-sectional area of 100 mm² and all of them with the Young's modulus E…

A: Given:- E=70GPa P==5kN l=2m A=100mm2 To find:- horizontal and vertical displacements at joint B

Q: The rigid bar BC is supported by the steel rod AC of cross-sectional area 0.29 in2. Find the…

Q: The

A: LAB=10/cos40°=13.05 ft LAD=10/cos20∘=10.64 ft ΣFV=0PABcos40∘+PAC+PADcos20∘=10(1000)…

Q: For the truss in figure below, the cross-sectional area of the truss members is A=500 mm² and…

A: A truss is given, we need to find out the strain energy.*Note: As per Bartleby's guidelines we are…

Q: Use virtual work method. Find vertical displacement of joint B in mm due to a -2 mm fabrication…

A: ###Find vertical displacement of joint B in mm due to a -2 mm fabrication error on members BE and…

Q: Given: The beam shown. wo = 4k/ft, Mo = 30k-ft, and L = 9ft. %3D %3D Wo Mo A

A: Given

Q: a 2P B E FIGURE Q1 C a

Q: Q3 The board is supported by cables BD and BC as shown. Find the tension force in cables and…

Q: 3. Rigid member ABD is connected to elastic member CDE as shown. For the given loading, what are the…

A: Given E=70GPa A=100 mm2 To Find Vertical displacement at A and E

Q: Consider the rod shown. Suppose that hℎ = 170 mm, r = 290 mm. Determine the location (x,y) of the…

A: The Centroid is the center of mass of the section of beam. It is considered as the center point of…

Q: The truss, used for supporting a structure, is loaded as shown in Figure 3. Determine the force in…

Q: . Assume that axial eformation of Member EF is aused mainly by its reaction external forces on the…

Q: 3. Rigid member ABD is connected to elastic member CDE as shown. Fo the given loading, what are the…

A: Given Data: E=70 GPa=70×103 N/mm2A=100 mm2CD=0.4m=0.4×1000=400 mm2DE=0.2=0.2×1000=200 mm2

Question

Q2: Determine the vertical displacement of joint (B) of the steel truss shown in
figure (2) (use the virtual work method). A=500 mm² for each member and
E-200x 10³ MPa.
A
5m
23
40 kN
+
Sm
↓
40 KN
+
Figure (2)
5m
5m
D

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 :

VIEW

Step 2: Real Forces

VIEW

Step 3: Virtual Forces

VIEW

Step 4: Vertical Displacement of Joint B

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 8 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

For the truss structure given below, determine the joint displacements asked for by using Virtual Work. Give displacements in terms of A and E. Member AE has four times the cross-sectional area (44) of all the other members. Member BE has one-third the modulus of elasticity (E/3) of all the other members. Displacements ABX, AEX, ADY, AEY, AFX D 30 kips 10 kips 40 ft B E A F 30 ft 40 ft
1.1
The truss in Figure 4 is loaded as shown. Both the nodes 1 and 5 are hinged supports. Take P = 27.8, L = 2.7, A = 0.0015 m2 and E=200 GPa. AE is constant for all the members. Use the stiffness method approach to solve parts (a) to (d) below. Write down your P and L values and answer parts a) to d) below. (a) Determine the stiffness matrices of the truss members 1, 4 and 5 in the global co-ordinate system with the origin at node 1. Use the member directions shown and clearly indicate the corresponding degrees of freedom numbers in the stiffness matrices. (b) Determine the stiffness matrices of elements 1 and 4 in the local co-ordinate system and then convert the respective local stiffness matrices to the global stiffness matrices. Show all calculations. Check the results with those obtained in part (a) above and comment. (c) Determine the load vector (Q) and displacement vector (D) and write the load-displacement relationship for the entire truss in the global co-ordinate…
Question 3
1.
Determine the forces in members BC and CG. The forces are positive if in tension, negative if in compression. B 15' C 15' D 14' A 15' G F 56° E 14 kips Answers: BC = kips CG = kips %3D
A rectangular beam has an extended cantilever beam the is attached at the end of the beam. A force P = 165,000 N is acted at the end of cantilever beam. Take S1 = 230 mm, S2 = 300 mm. What is the angle of twist of the beam if the length of the beam is 1500 mm, G = 2.0 MPa. Show complete solution with FBD
Q2 / The cross sectional area of each member of the truss as shown in the figure below 1.75 in and E = 29(10')ksi , determine the vertical displacement at joint D due to radiant heating of member FD is subjected to an increase in temperature from 20° F C to 110° F, take a = 0.75(10³)/F , and member CD would be decreased 0.2 in use Method of Virtual Work. (P in k) P=9 VP F E 4 m А D B C 3 m 3 m 3 m +
The last two digits of my redID is 89 for the problem
In figure shown the cross-sectional area of BD and CE is 2 mm?, E = 210 GPa, L = 350 mm, L2 = 200 mm, a = 300 mm, b = 400 mm and c = 250 mm. a. Determine the deflection of end A of the rigid member ABC caused by the P = 600 N load. b. Determine the maximum value of P if the allowable deflection at A is 2.5 mm and the allowable stresses of the rods is 120 MPa. L2 b.
In the truss shown below, what is the value of force in member AB? (note: enter your numeric answer only. No need to enter units. Give your answer to two decimal places) and negative for compression. FAB = N 2000 N 3 m 2 m 2 m - 2 60°
Analyze the beam shown in Figure using flexibility method of analysis. Take EI as constant.