Using the method of virtual work, determine the vertical deflection at joint E of the frame shown in Fig. P7.49. 15 kN/mG21 D21E21 F 213 mHinge65kN3 mAB– 3 m-|-5 m5 m-2 mE= 200 GPaI = 350 (106) mm+FIG. P7.49, P7.50

Given:- E=200GPa I=350*106mm4 To find:- vertical deflection at joint E

Answered: 15 kN/m G 21 D 21 E 21 F 21 3 m Hinge…

15 kN/m G 21 D 21 E 21 F 21 3 m Hinge 65 kN 3 m A B – 3 m-| -5 m 5 m- 2 m E= 200 GPa I = 350 (106) mm+ FIG. P7.49, P7.50

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter16: Moment-distribution Method

Section: Chapter Questions

Problem 7P

See similar textbooks

Related questions

Q: PROBLEM. Determine the reactions of the given statically indeterminate beam L = 8 meters P = 12 kN…

Q: Two forces act at the middle of a simply supported beam. Find the magnitude and direction of the…

Q: 18.2 kN/m 36.4kN/m

Q: 50 kN w = 20kN/m A 4m B 4m RA REAL BEAM Re V (kN) M (kN.m) R1 CONJUGATE BEAM R2

Q: 22/ F: = 15.52 mm* %3D10 KN Compute the shear at horizontal layer 20 mm

A: Given:- V=10kN I=15.52mm4 To find:- shear at horizontal layer 20mm apart from bottom to top

Q: Determine the vertical deflection at joint D of the truss shown in Fig. 7.9(a) if member CF is 0.6…

A: The vertical deflection at any point in the beam or frame is obtained by using the method of virtual…

Q: Problem 2: Determine the moment at the supports by the slope-deflection method. But with support at…

Q: IOKN 500 KN B 1.OM 4.Dm

A: According to a comparison of two sets of equations, if M/EI represents the load on an imaginary…

Q: 19. What is the vertical reaction at A in KN? a) 475 20. What is the reaction at B in KN? a) 475 b)…

Q: *1.73 Resolve the force F=20i + 30j + 50k lb into two components-one perpendicular to plane ABC and…

A: The given figure is shown below:

Q: 39. Using CONJUGATE BEAM METHOD, what is the reaction of the conjugate beam at point A? 1 (28.0)KN…

Q: F2 =60 w3 = 20 alpha = 21 beta = 24 a = 5 b = 14 C = 7 %3D %3D a. Calculate all support reactions…

Q: B. In Fig. below; rod AB rotates about an axis through A and is connected to block D by a flexible…

A: The given figure is shown below:

Q: 3-5.16. The forces acting.on a 1-ft length of a dam are shown in Fig. P-3-5.16 (p. 96). The upward…

Q: Determine the reactions and draw the shear and bending moment diagrams for the beams shown 635 KN…

Q: 7.88 The panel of weight W with its center of gravity at G is placed between vertical guides and…

A: In the given panel, there are three forces acting and all the force intersecting at point C.Show the…

Q: Determine the horizontal and vertical deflection of the hinge at point C of the arch in Figure P8.16…

A: Solution;

Q: 7.86 equilibrium Determine the largest angle B for which the uniform box can be in 0.5 m 4s 0.45…

A: Show the free body diagram of the uniform box as in Figure (1).

Q: Determine the magnitude Fand direction 8 (measured clockwise from the positive y-axis which is…

Q: 7.87 Can the uniform bar of weight W remain at rest in the position shown? = 0.6 60 30° Fig. P7.87

A: Show the free body diagram of uniform bar weight ABC as in Figure 1.

Q: 18. Find the horizontal and vertical components of the total force acting on a curved surface AB,…

Q: SITUATION III 800 kN The 300mmx500mm beam, 8 meters long is loaded as shown:P = 800 kN (at the…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Answer I. Use W=1290KN/m

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: Determine the internal moments in the beam at the supports (MAB, MBA and MBC), using the slope-…

Q: 16.1 through 16.5 Determine the reactions and draw the shear and bending moment diagrams for the…

Q: Problem 2: Determine the moment at the supports by the slope-deflection method. But with support at…

A: EI is constant We have to calculate the moment at supports using slope deflection method.

Q: Q-3: Use slope-deflection method to analyze the frame shown in Fig. 3. And draw the shear force and…

Q: 30 41 Determine the 5m 3. Resultant of the following forces and moment a bout 3m 120 KN.m lo kN 2 m

A: Solution Given Diagram

Q: Q-3 The frame shown in Fig.3, is fixed at A and hinged at C. Analyse the frame for the given loading…

Q: The pole is subjected to the force F which hascomponents Fx = 1.5 kN and Fz = 1.25 kN. If β =…

A: From the below figure we can write:

Q: 180 kN 270 kN 3 m 3m 21 3 m E = constant= 200 GPa | - 420x10 mm %3D The beam has an additional load…

Q: Fig. P4.76 Problem 6 4.80 Neglecting friction and the weights of the members, compute the magni-…

Q: 7. When a shallow water flowing radially slows down due to a) Friction bi To mporature

A: To find : When swallow water flowing radially slows down due to.

Q: Questions 6 & 7

A: Since we authorized to solve one question at a time so, we will solve the first one. Please resubmit…

Q: Find the rotation at B; E = 30 × 103 ksi, I = 72 in*. 2 k/it В 10' 20'-

A: FBD and reaction -

Q: 3-5.16. The forces acting.on a l-ft length of a dam are shown in Fig. P-3-5.16 (p. 96). The upward…

A: Introduction: A dam is a structure that prevents or regulates the flow of surface or subsurface…

Q: Two forces F1 and F2 act on the screw eye. If theirlines of action are at an angle θ apart and the…

A: Given: To design logic circuits to convert the 4221 codewords to BCD codewords. a. Fill in the…

Q: 2 = 15° $, = 12° Answer: 27.0° P Fig. P7.52 7-52 The wedge with the angle B is squeezed between two…

A: Answer is 27 degree

Q: What is moment value (kNm) at support B? 5 kN/m A 4 m 半子 20

A: The given beam is shown-

Q: Q/ The (200N) block shown in Fig. Has impending motion up the plane .Coused by bll eising le the…

A: solution : coefficient of static friction between body and surface is 0.66

Q: A horizontal bar of negligible mass is hinged at A and assumed to be rigid. It is supported by an…

Q: What is the Horizontal Reaction at A? A. 0 B. 10 kN (to the right) C. 10 kN (to the left) D. 5…

A: As per bartleby policy i can answer 3 subparts of a question at a time. Please upload again other…

Q: he moment (kN-m) at midspan if x = 2 m? e correct response 7.5 37.5 7.5 5 X

Q: 50 kN 15 kN/m 150 kN m 6 m 3 m 3 m 1. The vertical reaction at A is a. 45.50kN b. 55.60kN C. 72.50KN…

Q: 9, = 18 kPa H = 3 m Ysar = 18 kN/m3 %3D O= 25° H2 =4.5 m Ysat = 19.5 kN/m3 %3D O' = 30° %3D

Q: Find the vertical movement of the roller (c) in fig shown: 2. 10 MPa A-300 mm? 50 kN 3m 1.5 m 2 m 2…

Q: A Find the vertical reaction at A of the beam shown, El is constant. (kN). 30 kN 40 KN 50 KN 60 kN/m…

Q: H.W(4) Determine the moment of inertia about the y axis. Ans:307cm Lec. Ray 2cm Scm

A: Given:- The equation of the curve is given y3 = x To determine:- The moment of inertia about the…

Q: 1-7. (a) Can two forces which are the components of the 200-lb force in Fig. P1-7 intersect at B?…

A: To find x and y components of force

Concept explainers

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

Using the method of virtual work, determine the vertical deflection at joint E of the frame shown in Fig. P7.49.

15 kN/m
G
21 D
21
E
21 F 21
3 m
Hinge
65
kN
3 m
A
B
– 3 m-|
-5 m
5 m-
2 m
E= 200 GPa
I = 350 (106) mm+
FIG. P7.49, P7.50

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 Solution:-

Step 2 Solution:-

Step 3 Solution:-

Step 4 Solution:-

Step 5 Solution:-

Step 6 Solution:-

Step 7 Solution:-

Step 8 Solution:-

Step 9 Solution:-

Step 10 Solution:-

Trending now

This is a popular solution!

Step by step

Solved in 10 steps with 12 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 simply supported beam in Fig QB1a is made by gluing two pieces of wood of rectangular cross-section as shown in Fig QB1b, i.e. the top board (flange) is glued onto the bottom board of the web. The supports at A and B exert only vertical reactions. 150mm T 30mm A 4m C 30mm 150mm 6.5 kN/m Fig QB1a 4m B y = 0.120m Fig QB1b Calculate the support reaction forces, and hence sketch shear and bending moment diagrams indicating the values at A, B, C. Describe how shear force and bending moment vary along the beam; Compute the moment of inertia of the section about the neutral axis. The position of the neutral axis is y = 0.120m as shown in Figure QB1b; Determine the maximum shear stress in the glue necessary to hold the beam together along the seam where they are joined.
5.101 When the end couples Mo are applied to the steel beam, the radius of cur- vature of the neutral axis of the beam is 200 in. Given that E = 29 × 106 psi for steel, determine the value of Mo. Mo Mo 1.0 in. 0.25 in. A B 40 in. FIG. P5.101
Q 30/ Determine the forces in members FH, EH, EG, LM, MK and LK. 120 kN 4m 120 kN 4m 120 kN 4m 60 kN 120 kN 4m 120 kN 4m 60 kN 4m B D 3m 5 @ 4m Fig. 30
Q 30/Determine the forces in members FH, EH, EG, LM, MK and LK. 120 kN 120 kN 4m 60 kN 120 kN 4m 120 kN 4m 120 kN 4m 60 kN 4m 4m B. 3m 5 @ 4m Fig. 30
Select all applicable answers. XY is projected as PV in ARP1. Which of the following projections is possible for the reference plane adjacent to ARP1? Da TL parallel to ARP1 Oa TL perpendicular to ARP1 Oa TL not parallel nor perpendicular to ARP1 Da non-TL parallel to ARP1 Da non-TL perpendicular to ARP1 Da non-TL not parallel nor perpendicular to ARP1 Oa PV
5. For frame presented in Fig. 5, the distances are in meters, calculate the reactions at the two supports under the applied load. 450 1 kN/m 3 TT mmmmm 424 Fig. 5 6 kN 2 +-+-+-
Mai i 1. Determine the forces in the members of the trus an shown in Fig. 7.1. 24AN 12AN nge Fig. E
10,0001b B 10' C 10' E 10' 400 D Fig. 6-35 Solve for member CE.
6.145 The pliers shown are used to grip a 0.3-in.-diameter rod. Knowing that two 60-lb forces are applied to the handles, determine (a) the magnitude of the forces exerted on the rod, (b) the force exerted by the pin at A on portion AB of the pliers. 1.2 in. 30° A Fig. P6.145 9.5 in. 60 lb B C 60 lb
A beam has the singly symmetrical, thin walled cross section shown in Fig. P.10.9. The thickness t of the walls is constant throughout. Show that the distance of the shear centre from the web is given by p² sin a cos a Z5 =d- 1+6p+2p³ sin² a where p=d/h
The simply supported beam shown in Fig. P.13.10 has its outer regions reinforced so that their flexural rigidity may be regarded as infinite compared with the central region. Determine the central deflection. Ans. 7 WL³1384EI (downwards). |W Rigid Rigid El FIGURE P.13.10 L14 L14 L14 L14
i) ii) Fig.(3-17) shows a member LMNP is subjected to point load Find: Force P necessary for equilibrium Total elongation of the bar Take E= 210 GN/m² 50 kN M P 2400 mm² 500 kN Fig(3-17) N 1200 mm² P 200 KN