Using the virtual work method, determine the vertical displacement of joint Cof the steel truss shown in Figure Q3. Assume E = 200 GPa and A = 500 mm for all members. 4m 300 kN 4m 120 kN 4m 4m Figure Q3

Using the virtual work method, determine the vertical displacement of joint Cof the steel truss shown in Figure Q3. Assume E = 200 GPa and A = 500 mm for all members. 4m 300 kN 4m 120 kN 4m 4m Figure Q3

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 gusset plate is subjected to the forces of three members. Determine the tension force in member…

A: To find tension force in member C

Q: The truss shown in the figure is applied with force P = 5kN. E 1.50 m 1.50 m 1.50 m P B 2 m 2 m

A: Given data:

Q: (a) The components of support reactions at A and B. (b) The axial force, shear force, and bending…

Q: For the truss shown in the figure, determine the horizontal displacement at joint C due to the…

A: To find the horizontal displacement at the point C in the given truss

Q: Balancing the sums of the forces in the primed coordinate system yields two equations: 0x = 0x cos²…

A: Step 1: Step 2: Step 3: Step 4:

Q: Problem II. The truss shown in the figure below is applied with force P (refer to the table of…

Q: Determine by the method of nodes the forces at which the members EG, GF and FH, EF and ED of the…

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

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: #1 Determine the vertical displacement of joint A. Each bar is made of steel and has a…

A: Given: P=54KN, a = 2m Required: Vertical displacement of A

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

A: Given- A truss carrying external horizontal load at C. Required- To calculate following by using…

Q: As shown in the figure, aluminum, E= 70GPa links (1) and (2) support rigid beam ABC. Link (1) has a…

Q: For the truss shown below, determine the vertical displacement of joint C. Take A = 150 mm² and E=…

Q: For the plane truss shown below, determine the nodal displacements and the member force AB and AD.…

A: This problem can be solved by drawing the FBD by using stiffness matrix we can determine all the…

Q: 5. The beam shown is resting on two moveable supports. It carries a uniform love load of 140 N/m and…

Q: Consider the beam shown in (Figure 1). Suppose that wi = 600 N/m, w2 = 300 N/m. Follow the sign…

Q: B MATHalino.com 30 30 mo 30 30 3 m 3 m 3 m 3 m 2.7 kN 4.5 kN 1.8 kN

Concept explainers

Plane and Space Trusses

In civil engineering, a truss is the most important structure that forms the most fundamental member of any building structure and commercial complexes. Trusses are composed of individual members or links that are interconnected by suitable joints, such as rivets, welds, or bolts, and nuts. In trusses, the interconnection leads to the formation of a series of triangles joined together such that all the triangular members behave as a single rigid body. In a simple truss, three members are connected to form a truss member. In trusses, the force always acts at the joints or the interconnection between the individual members.

Question

Using the virtual work method, detemine the vertical displacement of joint Cof the steel
truss shown in Figure Q3. Assume E= 200 GPa and A = 500 mm for all members.
4 m
300 kN
Im
120 kN
4m
4m
Figure Q3

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

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 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 in figure below, the cross-sectional area of the truss members is A=500 mm² and Young's modulus E= 200 GPa. Let P = 93.7 kN. 1 m √3 m B Ø D 1 m √3 m F Determine: a) Strain energy for truss AC. Enter your answer in Jto 2 decimal places. b) Strain energy for truss AB. Enter your answer in J to 2 decimal places. c) Strain energy for truss BC. Enter your answer in J to 2 decimal places. d) Strain energy for truss BD. Enter your answer in J to 2 decimal places. e) Strain energy for truss DC. Enter your answer in J to 2 decimal places. f) Strain energy for truss DF. Enter your answer in J to 2 decimal places. g) Strain energy for truss FC. Enter your answer in J to 2 decimal places. h) Strain energy for truss CE. Enter your answer in Jto 2 decimal places. i) The displacement at point A. Enter your answer in mm to 2 decimal places. A
Pls answer asap
The cross-sectional area of each member of the truss shown in the figure is A = 400 mm² and E = 200 GPa. (a) Determine the vertical displacement of joint C if a 4-kN force is applied to the truss at C. (b) If no loads act on the truss, what would be the vertical displacement of joint C if member AB were 5 mm too short? 3 m 4 m C (a) 4 kN 4 m B
The cross sectional area of the members of the truss shown is 500 mm² and E = 200 GPa. Solve the horizontal displacement of joint C due to external loadings in mm. AB 1.5 m O 0.1875 O 0.075 O 11.25 O 18.75 C 2 m D 10 kN 5 kN
Determine:a) the horizontal displacement of joint A of the steel truss. b) Due to fabrication error, members AD and BE are 2cm too long. Determine the horizontal displacement of joint A under the same loading condition. Each member has a cross-sectional area of 400mm2 and E=200GPa.
Bar in Figure has a cross-sectional area of 0.75 in2. If the stress in bar (1) must be limited to 30 ksi, determine the maximum load (P) that may be supported by the structure* D. (0) 6 ft 17.50 kips O 13.50 kips O20.50 kips O 16.50 kips
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 +
Solve with Free body diagram
The beam with cross-section shown in Figure 1 is subjected to a uniformly distributed load and a moment. The centroidal axis of the section is c= 74.44 mm from the bottom. I. -2.18x10 mm. E = 2.1×10 MPa. a) At a cross-section 2 m to the right of support A; i) ii) iii) Calculate the Shear Force, V, and the Bending Moment, M. Determine the maximum bending stress. Sketch the bending stress distribution across the section, include critical tension & compression stress values. Determine shear stress developed at the flange-web interface and also the shear stress at the neutral axis of the cross-section. Sketch the shear stress distribution across the section, include the critical values. b) Using the double integration method, find the deflection curve for 0≤x≤5 m. 3 kN/m 5m 3 m- Figure 1 15 kN-m 100 All dimensions are in mm.
Provide solution within 1.5 hours
5. The beam shown is resting on two moveable supports. It carries a uniform love load of 120 N/m and a uniform dead load of 20 N/m. If the allowable bending stresses in tension and compression is equal and the beam has a span of 12 meters, a. Determine the optimal location of the supports from both ends. b. Find the maximum bending moment. c. Determine the dimension of the beam if d = 1.5b with an allowable bending stress of 8.4 MPa, DL = 20H/m 120N/m X 4 R 12m
1. A Using E = 100 GPA. IN.A. = 1,500 x 10 mm², compute the SUPPORT REACTIONS of the loaded beam shown when: a. supports are unyielding. b. support at the midspan yields 4 mm. 4m 60 KN/m B 2m www 10 KN C D 2m