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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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
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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…
A structure is stressed as shown in the figure below. Assuming that the EI of the entire beam section is constant, try to analyze the stress state of the structure, and draw the Shear Curve and Moment Curve of the structure.
The continuous beam shown below, is fixed at node 1, has a roller at node 3 and is hinged at node 2. The span 1-2 is 5.4 m in length and is subjected to UDL = 3.8 kN/m. The value of the bending moment at node 1 is -10.0 kN.m. What is the value of bending moment, to one decimal place, at the middle of the span 1-2? 13.9 8.9 margin of error +/- 0.1
2.5 A hon-uniform, rigid jointed frame is fixed at supports A and D as shown in Figure Q.5. where EI is constant for both members. For the loading indicated, and using the moment distribution method, (a) determine the final bending moments at supports A and D and at joint B, (b) determine the support reactions, (c) sketch the bending moment diagram for the frame ABD indicating all salient values. Hint: wa? FEMAB = - 12L2 noted below. For a span under part udl starting at left hand support, the FEM are: (6L? – 8aL + 3a2) & FEMBA = + wa3 (4L- 3a) as 12L2 UDL on left side wa? 1212 (61-8a1+3a*) w (sen) 12L2 (4L-3a) MRA MA B 6 kN/m 24 kN B 4 m 2 m 2 m 5m A Figure Q.5
Determine the member end moments and reactions for the continuous beam shown in Fig. 15.7(a) by the slope deflection method.
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A force of 521 kN is applied at joint B to a system of two-pinned joined bars shown in the figure. Determine the required cross-sectional area of the bar BC if the allowable stresses are 175 MPa in tension and 74 MPa in compression. 521 kN B 1.5 mt 1.5 m 3.0 m 3.0 m

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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.