7.35 Use the virtual work method to determine the hori- zontal deflection at joint E of the frame shown in Fig. P7.34. 150 kN C 2 m 2 m I 200kN->>> 21 2 m D B 50 kN/m 21 HH E Figure for Prob. 7.34 & 7.35 4 m E = 150 GPa I= 4000(106)mm¹

7.35 Use the virtual work method to determine the hori- zontal deflection at joint E of the frame shown in Fig. P7.34. 150 kN C 2 m 2 m I 200kN->>> 21 2 m D B 50 kN/m 21 HH E Figure for Prob. 7.34 & 7.35 4 m E = 150 GPa I= 4000(106)mm¹

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: HW 1: Determine the deflection at point D of the beam shown in Fig. below by the virtual work…

Q: 10 kN/m 25 kN m A E B IC 1 m 1m 3 m 2 m Fig. P4.31 DEFLECTIONS IN BEAMS USING DOUBLE INTEGRATION…

Q: Q3/ For the beam show in fig. Determine the vertical deflection at point D, using virtual work…

A: Consider the free body diagram as; Calculate the reactions as; RA=RE=1502RA=RE=75 kN Moment…

Q: Using slope deflection method, find the reaction moments at support'of the continuous beam Fig4. E…

Q: 7.35 Use the virtual work method to determine the hori- zontal deflection at joint E of the frame…

Q: 2 k/ft +6 ftH 15 ft

A: MOMENT AREA METHOD FOR DEFLECTION, support reactions draw BMD diagram draw M/EI diagram finding…

Q: Determine the cross-sectional area A required for the members of the truss in Fig.2, so that the…

A: E = 70 GPa Horizontal displacement at joint-D (∆D-h) = 10 mm Determine the cross sectional area of…

Q: Question 5 For the cantilever beam and loading shown in Fig. Q5, determine the deflection at B and…

Q: Using the double

Q: Compute the value of EI y at the right end of the overhanging beam shown in Fig. P-615. R₁ 6 ft 2000…

Q: Determine the horizontal deflection at joint E of the truss sh P7.16 due to a temperature increase…

A: δH)E = 9.6mm (Towards right)

Q: pmis. Determine the maximum deflection and rotation of the beam shown in Fig. 3 using the method of…

A: Given data: E=200 GPa I=65×106 mm4

Q: ) The horizontal deflection at joint C of truss shown in Fig 4, using virtual work method is: a) 12…

A: Length of member AB LAB = 1.2m = 1200 mm Length of member AC LAC = √(3.62 + 2.72) = 4.5m = 4500 mm…

Q: Use the virtual work method to determine the horizontal and vertical components of the deflection at…

Q: Use the virtual work method to determine the horizontal deflection at joint C (Ac-x) of the frame…

A: Given data:

Q: A simply supported beam supports a point load Pof 164KN at 1.8m away from the right support…

Q: 3.) Vertical deflection at joint C of the frame shown. El is constant. E- 200 GPa, I= 980 cm

Q: Determine the vertical deflection at joint C of the truss shown in Fig. 7.8(a) due to a temperature…

A: Virtual work is the work done by a real force acting through a virtual displacement or force in the…

Q: Q.5. For the frame shown in Fig (5), find the horizontal deflection at (D), and rotation of joint…

A: Given : Frame with EI = constant Horizontal deflection at D = ? Rotation of joint C = ? We will use…

Q: Q. 2 Determine the slope at the supports of the beam shown in Fig. I using the conjugate beam…

A: Given data E = 29000 ksi I = 1000 in2

Q: Determine the horizontal deflection at | in terms of El for the frame shown. 60KN 2n 3m E 21 2m 20KN…

Q: Use the virtual work method to determine the horizontal deflection at joint E of the frame shown in…

A: The reactions for the given loading should be determined. The moments at sections should be…

Q: 150 kN 50 kN/m E C I D 21 2 m E=150 GPa I= 4000(10)mm4 200kN 2I B 2 m 2 m 4 m

Q: 70 k 3 k/ft - 24 ft – -12 ft– El = constant E = 29,000 ksi I = 5,000 in. AG. P6.28, P6.54

Q: A, L, E 90° A, L, E

Q: Determine the horizontal deflection at joint D of the truss shown in the figure by using the virtual…

Q: Determine the horizontal deflection at point b using virtual method

A: Moment of inertia (I) = 832×10-6 m4Elastic modulus (E) = 200 GPa To determine = horizontal…

Q: Determine the maximum deflection of the beam shown in Fig. a. EI is constant.

A: Since reactions are already shown in the figure. So, by Macaulay's method of integration, deflection…

Q: Calculate the horizontal and vertical components of the deflection at the centre of the simply…

Q: 1. By using Conjugate Beam Method, Determine the deflection at the midspanof the beamshown. 30 kN/m…

Q: 8.1: Use the virtual work method to determine the horizontal and vertical deflections at joint B of…

A: Due to issue in Math type , providing handwritten solution

Q: Use the virtual work method to determine the horizontal and vertical components of the deflection at…

A: Given:- Truss E=10000ksi To find:- Horizontal and vertical components of the deflection at joint B

Q: Q.3 Determine the deflections at B and C for the beam shown in Fig. 2 using the conjugate beam…

Q: The truss shown in Fig.3 is supported by a roller at C and a hinge at D. Us Castigliano's theorem to…

A: E = 200 KN/mm2 A = 800 mm2 Determine the horizontal deflection of point-B using Castigliano's…

Q: Use the virtual work method to determine the horizontal deflection at joint C (Ac-x) of the frame…

Q: Q. Determine the slope at the supports of the beam shown in Fig. I using the double integration…

A: The beam is illustrated as:E = 29000 kips/in.2I = 3500 in.4 For convenience, we will convert the…

Q: s. 3.6 mm (downwards), 2.0 mm (upwards). EN 2 kN w = 5 kN/m

A: Data Given: EI = 43 x 1012 Nmm2 Asked: Deflection at mid span and at free end using the method of…

Q: Determine the slope and deflection at point B of the steel beam shown. The reactions have been…

A: Consider the free body diagram of the given beam as shown below. Concentrated load, W=5 k Total…

Q: The beam shown in Fig. P.13.8 has its central portion reinforced so that its flexural rigidity is…

A: First draw the Bending moment diagram Vertical Reaction at A = W2(upwards) Vertical Reaction at E =…

Q: Problem 7.18 Determine the horizontal deflection at joint E of the truss shown in the figure if…

A: Given:- A truss is given with point A having hinge and point B having roller support The length of…

Q: Q-1 Use the moment-area method to determine the slope and deflection at the free end C of the…

Concept explainers

Loads and Reactive Forces

Loads are the external influences that a beam experiences under its working conditions. For instance, a beam may be subjected to shear loads, twisting loads, bending moment, and axial loads during its working conditions. Engineers primarily deal with beams and trusses in the civil engineering domain. Due to the influence of loads, it is very crucial to determine the induced stresses and deformation values. These values give an insight into the critical area of the beam that needs to be worked upon to make it fail-safe.

Question

7.35 Use the virtual work method to determine the hori-
zontal deflection at joint E of the frame shown in Fig.
P7.34.
150 kN
C
2 m
2 m
I
200kN->> 21
2 m
D
B
50 kN/m
21
HH E
Figure for Prob.
7.34 & 7.35
4 m
E = 150 GPa
I= 4000(106)mm¹

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

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 5 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

Find the deflection at C for the beam loaded as shown in Fig. 4. Take EI = 40,000 kNm². %3D 200kNm 0.5m 4m 2m
7.34 Use the virtual work method to determine the rotation of joint D of the frame shown. 150 kN 50 kN/m C D 21 E = 150 GPa 1 = 4000(105)mm¹ 2 m 2 m 200kN- B 2m 21 4 m
SET 1: Using the first method in finding deflection wherein you will draw the real shear and moment diagram.1. What is the reaction RA of the real beam in kN?2. What is the moment at midspan of the real beam in kN.m?3. What is the reaction R1 of the conjugate beam in kN.m2?
Determine the slope and deflection at point A of the beam shown by the moment-area method
Determine the equation of the deflection curve of the beam shown in Fig. P.13.7. The flexural rigidity of the beam is EI. Ans. 1 (125 2 - 50[x – 1]² +x – 21*. 50 50 x – 4)*. 525 x- 4]³ +237.5x EI 6 6 200 N 100 Nm C 100 N/m FIGURE P.13.7 1m 1m 2m 3 m
‏Using method of virtual work, Find the horizontal and vertical deflections at tip end a in Fig 3. E is const
Determine the equations for slope and deflection of the beam shown by the direct integration method.EI = constant.
(1) Using the double integration method, derive the equation of the elastic curve of the cantilever shown in Fig. 1.112. Determine the slope and deflection at the free end if EI = 4000 m²t. 氰 1t/m 3m Fig 1 112 4mt 6 m Fig 1 113 3t/m
For the load and beam shown use the conjugate-beam method to find the deflection at b and the rotation at c. E = 20,000 kN/cm and I = 5,000 cm'. 10 kN to 2 m 2 m 2 m 2 m
Use the virtual work method to determine the vertical deflection at joint C of the frame shown in Fig. 7.17(a)
Question 2 Calculate the horizontal deflection at point ctor the 2d structure shown in figure 2 below. Take AE = 100x10 N. 20 kN 2m 10 kN 6m 3m Fig. 2