Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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please solve using CONJUGATE BEAM METHOD
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- A beam ABCDE is shown below: B E The ratio of kinematic indeterminacy of the beam if considering all members axially in extensible to considering all members axially extensible isarrow_forward3) The T shaped cross-section of a beam is made of a flange (the upper horizontal area A1 = 2000 mm2) and a web (the lower vertical area A2 = 3200 mm?) as shown in the figure. 20 mm If you want to compute the vertical distance C, of the centroid of this cross-section from the bottom most point of this cross- а. section then give the expression in terms of some numbers from which Cy can be computed. No need to carry out the calculation. b. From part (a) if you get Cy = 114.6 mm then give the final expression of the area moment of inertia Ix (about the x-axis going through the centroid of the T-section). Your expression should only contain some numbers. No need to finish the calculation. Give the final expression of the area moment of inertia ly (about the y-axis going through the centroid). Your expression should only contain some numbers. No need to finish the calculation. d. If you drill a circular hole of 15 mm diameter with its center 160 mm С. 20 mm 100 mm coinciding with the…arrow_forwardPage 6 Question 6 A cantilever beam AB of length L is subjected to a uniformly distributed load w and simply supported at the end A with a spring. Assume that El is constant and stiffness of the spring is k. (a) Determine the reaction forces at the end B of the beam shown in Figure Q6 by using the virtual-work method. (b) Describe the procedure to determine the deflection at the middle of the beam in 100 words (without actually solving the problem). O DEN5102 (2022) W L Figure Q6 Barrow_forward
- 2. P Derive an equation that describes the vertical deflection of the beam, y(x), and also B calculate the maximum deflection of the beam. M = 0.5PL %3Darrow_forwardLoads PA and PB are applied to a uniform cantilever beam AC, causing deflections SA and dB at A and B, respectively. Using the second- order integration method, determine expressions for PA and PB in terms of E, I, L, SA, and SB.arrow_forwardc) A thin elastic wire has its both ends tied to two fixed holders and is completely immersed in a flowing fluid. A study is to be carried out to determine the static deflection, 8, at the axis of the wire due to drag that exerted by the flowing fluid. Assume: 8 =f(1, d, p, µ, V, E) where dis a deflection in unit length, I is wire length, d is wire diameter, pis fluid density, u is fluid dynamic viscosity, V is fluid velocity, and E is elastic modulus of the wire. By using Buckingham Pi (t) theorem and basic dimensions system of MLT, predict a suitable set of a Pi (t) terms to study this problem. Use d, p, and V as the repeating variables. The unit of elastic modulus is given as Newton/m?.arrow_forward
- Find: Using the Principle of Virtual Work, calculate the vertical deflection of Point E, and the horizontal deflection of Point F for the truss shown. Assume E = 10,000 ksi and the following cross-sectional areas: Parts AB, BD, DF, and FH have A=4.0 in? while all other parts have A=1,5 in?. Summarize the results of your calculations in a table so that it is easy to review (similar to calculations shown in class example). 5 kip B F 14 ft E G H 30 kip 10 ft 10 ft 10 ft 10 ftarrow_forwardSOLVE STEP BY STEP IN DIGITAL FORMAT Determine by the method of nodes the forces at which all the members of the following truss work. 5.5 K 8 pies 10 pies D 6 pies 3.5 K 8 pies 10 pies 40° A Earrow_forwardHand written pleasearrow_forward
- Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by: ox = (M.I,M,L)y+(M,I.-M.I.) (1,1₂-13/2) where My and M₂ are bending moments applied to a cross-section, and where ly, lz 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). (iii) A Z--section beam has the cross-section shown overleaf (see Figure QB2). The second moments of area of the section about the y and z axes are given as;; ly = 1.12x106mm² and I₂ = 2.87x106 mm4. Show that lyz = 1.35x106 mm² (use the parallel axis theorem). 100 60 10 y -10 10 60 Figure QB2 N (iv) Bending moments Mz = 2.0 kNm and My = 0 kNm act on a cross- -section of the beam of part (iii). Obtain an expression for the bending stress and sketch the orientation of the neutral axis with reference to the y and z axes. What is the maximum tensile value of the axial bending stress and where does it occur?arrow_forwardSubject is structural analysis Please show each steps to the question and make it easy for me to understand. Explain the diagramarrow_forwardimage attached.arrow_forward
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