Calculate the support reactions in the continuous beam shown in Fig. P.16.30 using themoment distribution method; the flexural rigidity, El, of the beam is constant throughout.Ans. RA= 2.7 kN, Rg=10.6 kN, Rc=3.7 kN, MA=-1.7 kNm. |7 kN|1 kN0.75 kN/mBDAEl12 m12 m12 m5 m

Data Given: The span length AB=12 m The span length BC=24 m The span length CD=5 m Asked: Support…

Answered: Calculate the support reactions in the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The rigid bar BC shown is supported by the steel rod AC of the cross-sectional area of 0.25in^2. (a)Compute the elongation of the steel rod. (b)Compute the vertical displacement of point C caused by the 2000 lb load.
13. Treating horizontal reaction at A as redundant, what is the horizontal movement at A of the primary structure (N)? AE is constant. 14. Using force method, what is the horizontal reaction at A of the truss shown (N)? AE is constant. 15. Considering horizontal reaction at B as redundant, what is the horizontal displacement at B for the primary structure of the given frame in kN m^3/EI? El is constant. A 5.196 m 5.196 m 450 N 450 N
4. (a) (b) (c) (d) A A truck chassis beam is simply supported and subjected to the loading shown in Fig.Q4. Assume E = 70GN/m², 1 = 832cm, calculate reaction forces at A and B; sketch the Shear Force (SF) and Bending Moment (BM) diagram; determine the deflection function of the beam; determine the deflection of the beam at a section 1.8m from the left hand. 1.5 0.31 10 kN- 16 kN/m -10 kN 0.9 Fig.Q4 (Dimensions in meters) 20 kN 0.6 B 100
217. As shown in Fig. P-217, two aluminum rods AB and BC hinged to rigid supports, are pinned together at B to carry a vertical stress 20 kN. If each rod has a cross-sectional area of 400 mm² and load P E = 70 x 10 MN/m, compute the elongation of each rod and the horizontal and vertical displacements of point B. Assume a = 0 = 30°. %3D after %3D 30° and Ans. 8, 0.412 mm; 8, = 3.57 mm %3D whe are ind the 3. to ne di L = 3 m st a L = 2 m P. Flgures P-217 and P-218. E L
Q3: For the beam shown in Figure (3), given INA = 1.- 10 mm", calculate the transverse shearing stress at points A, C and G on the section at the left support of the beam. w=10 kN/m 4 m Figure (3) in Q3 ΝΑ 29 mm 10 mm 50 mm G C ΔΑ 8 mm 25 mm 50 mm 8 num
Determine the reactions and the member end forces for the three-span continuous beam shown in Fig. 17.12(a) by using the matrix stiffness method
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Determine the maximum deflection of the steel beam shown. The reactions have been computed. E = 200 GPa, I = 60(106) mm4.
For the structure below, determine the support reactions using METHOD OF CONSISTENT DEFORMATION. Afterwards, draw the shear and bending moment diagram. 50 kN/m В 5 m 3 m 21 I E = 200 GPa I = 1000(106) mm4 %3D
9.8. The curved beam in Fig. P9.8 has a triangular cross section with the di- mensions shown. If P = 40 kN, determine the circumferential stresses at B and C. Ans. Goon = 297.8 MPa. Gooc-238.1 MPa 120 mm 45 mm RO C 60 mm L 90 mm-
Q3: The beam shown in Figure 3 is subjected the moving load shown. Determine (a) the maximum reactions at supports, and (b) the maximum positive shear and moment at point B. 71.17 kN (rear axle) 17.79 kN (front axie) 4.27 m 5 m 5 m 5 m Figure 3
Learning Goal: To solve for the support reactions of a frame. The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H₁ = 1.4 m, H₂ = 2.1 m, and L = 1.5 m. The applied force P = 17 kN acts at the midpoint of BC, and the distributed load has intensity w = 2 kN/m. Figure Н1 Figure B Figure A Cx P Dx Learning Goal: To solve for the support reactions of a frame. C D 2 The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H₁ = 1.4 m, H₂ 2.1 m, and L = 1.5 m. The applied force P = 17 kN acts at the midpoint of BC, and the distributed load has intensity w = 2 kN/m. Cy Dy W W H₂ P 1 of 3 Learning Goal: To solve for the support reactions of a frame. The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H₁ = 1.4 m, H₂ = 2.1 m, and L = 1.5 m. The…

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Calculate the support reactions in the continuous beam shown in Fig. P.16.30 using the moment distribution method; the flexural rigidity, El, of the beam is constant throughout. Ans. RA=2.7 kN, Rg= 10.6 kN, Rc=3.7 kN, MA=-1.7 kNm.