Determine all the reactions at the support of the three-span continuous beam shown in the figure. Take flexural rigidity EI as constant. Horizontal Reaction at fixed support A, Ax, is zero. Draw the shear force and bending moment diagrams. Using the Method of Consistent Deformations. Solve the moment reaction at A (MA in kN-m), vertical reaction at A (Ay), B (By), C (Cy), D (Dy) (in kN)

Determine all the reactions at the support of the three-span continuous beam shown in the figure. Take flexural rigidity EI as constant. Horizontal Reaction at fixed support A, Ax, is zero. Draw the shear force and bending moment diagrams. Using the Method of Consistent Deformations. Solve the moment reaction at A (MA in kN-m), vertical reaction at A (Ay), B (By), C (Cy), D (Dy) (in kN)

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: A solid circular bar is fixed at point A. The bar is subjected to transverse load V = 185 N and…

A: Given data:- The given force, V=185 N The given torqueT=2.9 N-m The length L=1.5 m The given…

Q: The beams described in the problems for Section 9.9 have constant flexural rigidity El. A simple…

A: Take a section xx at x distance from A

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.1 in., b = 5.6 in., d = 5.0…

A: Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum…

Q: a. Compute the internal forces in bars BC and CD. Indicate if they are in compression or tension.…

A: A truss member is given belowNeed to find a. compute the internal forces in bars BC and CD. Indicate…

Q: mning Goal: use the superposition principle to find the state -tress on a beam under multiple…

A: d1= 2.15 md2 = 0.5 md3= 0.95 md4=285 mmr= 150 mmP= 4.5 kNTo find:Part A: Determine the support…

Q: The cross-sectional dimensions of a beam are shown. Assume b-2.5 in., t-tw-0.25 in. and d=4.25 in.…

A: a. Bending moment b. Bending stress

Q: When an axial load is applied to the ends of the bar shown in the figure, the total elongation of…

Q: The beam shown is subjected to two loads, one point and the other uniformly distributed. Determine…

Q: For the element and state of stress shown: a) Draw Mohr's circle. b) Determine the principle…

A: Mohr,s circle is used to find the stress components and it is a graphical representation of the…

Q: Rigid bar ABCD is loaded and supported as shown. Steel [E = 30000 ksi] bars (1) and (2) are…

Q: C A D B 0.25 m 0.5 m 0.15 m

Q: Determine the reaction at the roller at C of the beam shown below. Take EI= constant. Use the Method…

Q: Pin-connected rigid bars AB, BC, and CD are initially held in the positions shown by taut wires (1)…

Q: Rigid bar ABCD is loaded and supported as shown. Steel [E = 30000 ksi] bars (1) and (2) are…

Q: At a temperature of 53°F, a 0.1 in. gap exists between the ends of the two bars shown. Bar (1) is an…

A: Asked: To determine the lowest temperature at which the shown two bars will come in contact.…

Q: For certain values of w and P, the maximum positive bending moment in the beam is +7044 lb-ft, and…

A: Here, M = 7044 lb.ft Iz = 18.3990 in4 For positive bending moment,…

Q: Determine the reaction at the roller at C of the beam shown below. Take EI= constant. Use the Method…

Q: 1) Given the structure below, answer the following questions Determine the local stiff stiffness…

A: E= 10000 ksi A= 8 in2

Q: A truss is subjected to different force combinations as shown in the figure below. The…

A: Here we need to find deformation in both the direction i.e. in x and y directions of point C. For…

Q: A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal…

Q: Pin-connected rigid bars AB, BC, and CD are initially held in the positions shown by taut wires (1)…

A: Strain is the result of a material's deformation due to stress. It's only a proportion of the length…

Q: The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and…

A: For the given rigid bar,

Q: The cantilever beam, whose loading condition and cross-section are given in the figure, is ideal…

Q: A beam AB bears the force as follows, and the flexural stiffness of the beam section is constant EI:…

Q: A pin-connected structure is supported as shown in the figure. Bar (1) is made of brass [E = 105…

Q: Q.2) A rigid bar ACD is supported by two circular steel (E= 30x10° psi) rods DE and a pin support at…

A: Draw free body diagram From deflected shape δAB8=δP4=δDE6=tanθ Consider the moment equilibrium…

Q: B.2. Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given…

Q: A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal…

Q: The cantilever beam is supported by a fixed support at A, and subjected to the force F-470 lb and…

Q: Determine the load P that can be

Q: We are given the statically indeterminate structure in Fig. 1, with a degree of indeterminacy of 2.…

Q: Rigid bar ABCD is loaded and supported as shown. Steel [E = 27800 ksi] bars (1) and (2) are…

Q: Links (1) and (2) support rigid bar ABCD shown in the figure. Link (1) is bronze [E = 15,200 ksi]…

Q: 27. A truss is subjected to loading as shown. If the force P = 78, Determine the reactions at the…

A: Analyzing the truss using the method of joints:Zero-force members: AB, AD, and CD.Member forces:BC:…

Q: Consider shaft AB that is fixed at point A and free at point B that is subjected to the torque T.…

Q: 9. The initially square element of a material is deformed as shown. Determine the shear strain of…

Q: Pin-connected rigid bars AB, BC, and CD are initially held in the positions shown by taut wires (1)…

A: Given, The bar lengths , a=36 ftb=27 ft∆x=5.7 in

Q: Rigid bar ABCD is loaded and supported as shown. Steel [E = 28400 ksi] bars (1) and (2) are…

Q: If the following structural beam has a rectangular cross-section and is subjected to the loadings as…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Question

Determine all the reactions at the support of the three-span continuous beam shown in the figure. Take flexural rigidity EI as constant. Horizontal Reaction at fixed support A, A_x, is zero. Draw the shear force and bending moment diagrams. Using the Method of Consistent Deformations. Solve the moment reaction at A (M_A in kN-m), vertical reaction at A (Ay), B (By), C (Cy), D (Dy) (in kN)

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

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Trending now

This is a popular solution!

Step by step

Solved in 8 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Rigid bar ABCD is loaded and supported as shown. Steel [E = 28400 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.82 in.² and bar (2) has a cross-sectional area of 0.41 in.². After load P is applied, the strain in bar (1) is found to be 700 μe. Assume L₁=69 in., L₂-89 in., a=34 in., b=33 in., and c-37 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection VD of point D on the rigid bar. (c) the load P. A Answers: (a) 0₁ = (b) VD = (c) P= i i i L₁ a (1) B L2 b ksi, 0₂ = in. kips. (2) C i D P ksi.
1. For the roof truss shown in Figure 3, determine the force present in ele- ment GH and in each element located to the right of GH. Also, establish whether the elements are in tension or compression. (I suggest you start from node M applying the method of nodes until you get to element GH) -2.4 m--2.4 m-1.2 m-2.4 m--2.4 m--1.2 m- 1.5 kN 1.5 kN 1.5 kN 1.5 kN D VI 1.5 kN 1 kN В 2.5 m E K 1 kN 1m H M F
A rigid bar ABCD is supported by two bars as shown in Figure below. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in bar (1) is 590 µ. Determine: a. The normal strain in bar (2). b. The normal strain in bar (2) if there is a 1 mm gap in the connection at pin C before the load is applied. c. The normal strain in bar (2) if there is a 1 mm gap in the connection at pin B before the load is applied. (2) 1,500 mm 240 mm 465mm 140 mm Rigid bar B C 900 mm (1) P.
Determine the support reactions of the following structure applying the principle of minimum strain energy. Note: You can cut the following constraints as shown in the figure. Assume EA=GA=EI=1.
We are given the statically indeterminate structure shown in Figure 2. Apart from the loadings, member AB is also subjected to temperature effects. The cross-sectional depth of member AB is h = 12 in, and the thermal coefficient is aT= 5:10-6 /° F. We are also given that the effect of axial forces on the deformations can be NEGLECTED. 1 kip/ft 5 kip BV VVvvvwwW EI = 8:105 kip-ft2 EI = 106 kip-ft2 20 ft Figure 2 a) Establish a primary structure b) Establish the compatibility equation from which you will obtain the redundant force c) Determine the support reactions of the structure d) Determine the internal loading diagrams of the structure e) Determine the support reactions IF THE STRUCTURE IS ONLY SUBJECTED TO THE TEMPERATURE EFFECTS (and not the loads) AT: = 5 °F ÅT;= -5 °Fi
The frame supports the distributed load shown. Determine the state of stress acting at point E. Show the results on a differential element at this point. The section is composed of two materials where E₁ = 200 GPa, and E₂ = 150 GPa AC xxxx E. 4 kN/m -1.5 m 1.5 m--- -3 m 3 m BA 20 mm 60 mm 20 mm 5 m E 50 mm E₁ = 200 GPa E₂ = 150 GPa
Rigid bar ABCD is loaded and supported as shown. Steel [E = 29900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.81 in.2 and bar (2) has a cross-sectional area of 0.46 in.2. After load P is applied, the strain in bar (1) is found to be 770 με. Assume L1=55 in., L2=78 in., a=31 in., b=31 in., and c=36 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vD of point D on the rigid bar. (c) the load P.
B) The free ends of two cantilever beams each of length L and flexural rigidity El are joined together with a spring as shown in Fig. (6). The stiffness of the spring is K = Using the method of consistent deformations, determine the force in the spring due to a concentrated load W acting at center of the lower cantilever. www
1. For the roof truss shown in Figure 3, determine the force present in ele- ment GH and in each element located to the right of GH. Also, establish whether the elements are in tension or compression. (I suggest you start from node M applying the method of nodes until you get to element GH) -2.4 m--2.4 m-1.2 m-2.4 m--2.4 m--1.2 m- 1.5 kN 1.5 kN 1.5 kN 1.5 kN D VI 1.5 kN 1 kN В 2.5 m E Ук 1 kN 1m H F Figura 3. Cercha 3. 2.Determine the force in the elements ED, EH, and GH of the reinforcement (see Figure 4), and establish whether the elements are in tension or compres- sion. (Use the method of sections). Figura 4. Cercha 4. 50 kN 40 kN -2 m -2 m- -2 m- 1.5 m -30 kN 1.5 m B 40 kN 1.5 m
The stresses acting on an element are dx = 745 psi, ay = 615 psi, and Txy = 430 psi. (Consider only the in-plane stresses the stresses in the x-y-plane). Oy Determine the principal stresses (in psi) and angle of the principle planes (in degrees counterclockwise from the +x-axis). (For normal stresses, use the deformation sign convention. For maximum shear stress, enter the magnitude.) %1 = psi 0₂ = psi psi max = 8p = Show the stresses on a sketch of a properly oriented element. (Submit a file with a maximum size of 1 MB. Your submission will be graded by your instructor after the due date based on its accuracy. Your grade may change.) Choose File No file chosen This answer has not been graded yet.
Pin-connected rigid bars AB, BC, and CD are initially held in the positions shown by taut wires (1) and (2). The bar lengths are a = 20 ft and b = 15 ft. Joint C is given a horizontal displacement of 5.2 in. to the right. (Note that this displacement causes both joints B and C to move to the right and slightly downward.) What is the change in the average normal strain in wire (1) after the displacement?