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Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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![3. Rigid member ABD is connected to elastic member CDE as shown. For
the given loading, what are the vertical displacements of points A and E?
A
20kN
dimensions in meters
B
rigid
C T
0.4
D
E
0.2
5KN
E=7oGPa
A=100mm²](https://content.bartleby.com/qna-images/question/216015d9-daff-4e98-b3d1-7f3f5202e820/8b56380f-5062-4a19-9be5-567be49631c0/hqwhkb_thumbnail.png)
Transcribed Image Text:3. Rigid member ABD is connected to elastic member CDE as shown. For
the given loading, what are the vertical displacements of points A and E?
A
20kN
dimensions in meters
B
rigid
C T
0.4
D
E
0.2
5KN
E=7oGPa
A=100mm²
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- B.2. Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by: σ, X (M.1, M,1,)y+ (M, I. - M.1,-) z (1,1.-1²-) where My and M₂ are bending moments applied to a cross-section, and where ly, Iz and lyz are second moments of area in the usual notation (Oxyz is a Cartesian coordinate system in which the x axis corresponds to the centroidal axis of the beam). (i) What assumptions have been made in the derivation of the above expression? (ii) Indicate by means of a sketch the directions in which positive values of the bending moments My and M₂ act on a cut plane facing in the positive x direction.arrow_forward3. Rigid member ABD is connected to elastic member CDE as shown. For the given loading, what are the vertical displacements of points A and E? A 20KN dimensions in meters B rigid I ст 0.4 E 0.2 5kN E=7oGPa A=100mm²arrow_forwardProblem 1 The cantilevered rectangular bar is subjected to a force of 9 kips. a. Determine the major principal stress at point B. b. Determine the Orientation angle of the microscopic element at point B. 1.5 in. 1.5 in. 2.0 in 2.0 in t in. 3 in. 1 in.- 29 in 3 in. 9 kipsarrow_forward
- Rigid bar DB in the figure is supported at pin B by axial member ABC, which has a cross-sectional area of A1 = A2 = 85 mm², an elastic modulus of Ej = E2 = 1000 MPa, and lengths of L = 390 mm and L2 = 645 mm. Aload of Q = 555 N is applied at end Cof member (2), and a load of P = 1425 N is applied to the rigid bar at a distance of a = 85 mm from pin support D and b = 45 mm from pin B. Determine the magnitudes of the downward deflections of: (a) pin B. (b) pin C. A |(1) Rigid bar B a b. L2 (2) (a) VB = i mm (b) vc = i mmarrow_forward1. 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 2marrow_forwardQuestion stated in the picture. Detailed answer is neededarrow_forward
- TEXT:A planar construction is composed of two beam elements and two axial rods. These arejoined with frictionless joints, as indicated on the sketch. The structure is applied an outer concentrated load P=8kN in node G and a downwardevenly distributed load q=4kN/m between junctions A and D. The beam ABCD and EFG are torque rigid,while the axial rods BF and CF only absorb forces in the direction of the rods. A) Calculate the rod forces and for the external given load effect.B) Calculate the bearing reactions for the external given load effect.arrow_forwardQUESTION 1) The cross sectional Е, A, Е, А, areas of the KM and MR intervals are A1 = 400 mm? and A2 respectively. Both sections are made = 200 mm², from the same material that has elastic L. M N R K modulus ofE = 200 GPa. If the gap in figure is 8-5mm and the axial forces are Pi = 120 kN and P2 1m 2m 2m 1m = 80 kN; a) Calculate the support reactions. b) Draw the axial force diagram.arrow_forwardDetermine the variation in the width w as a function of x for the cantilevered beam that supports a concentrated force P at its end so that it has a maximum bending stress sallow throughout its length. The beam has aconstant thickness t.arrow_forward
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