The advantage of using the double integration method for deflection of the beam is/are_ A) All of the choices B) It produces the equation for the deflection everywhere along the beams. It is the quickest way to compute the deflection at a specific location if the bending moment diagram has a simp shape. D The desired deflection is computed by adding the contributions of the component loads

The advantage of using the double integration method for deflection of the beam is/are_ A) All of the choices B) It produces the equation for the deflection everywhere along the beams. It is the quickest way to compute the deflection at a specific location if the bending moment diagram has a simp shape. D The desired deflection is computed by adding the contributions of the component loads

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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

The advantage of using the double integration method for deflection of the beam is/are_
A) All of the choices
B) It produces the equation for the deflection everywhere along the beams.
It is the quickest way to compute the deflection at a specific location if the bending moment diagram has a simple
shape.
D The desired deflection is computed by adding the contributions of the component loads

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For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, and (b) the deflection at B. Assume that EI is constant for the beam. Let w = 12 kN/m, L = 5.5 m, E = 215 GPa, and I = 120 x 106 mm4
USING CONJUGATE BEAM METHOD SOLVE THE FOLLOWING P P a LO b LO
g) the value of the constant of integration C4. Enter your answer in kNm3 to 3 decimal places.
1) Find the transfer function from the force F (applied at x= L/3 the bar) to the motion Y of the location x=2L/3 a bar (with fixed-fixed) boundary conditions. Consider only the first mode of vibration with zero damping. The mass of the rod is M, mass-density of the rod is p, its length is L, Young's modulus is E, and cross-sectional area is A. 2) Find the response Y(t) for a unit step input with zero initial conditions. F(t) Y(t) →L/3 → 2L/3
**DFQ** If you know statics, it helps in understanding. A uniform beam (Constant EI) with Length = L has both ends fixed. Applied loading is a uniformly varying load, zero at the left end, W at the right end. Units of the load are pounds per foot. Your results will be stated in terms of W, L, EI.You will use Laplace Transforms to solve for the beam deflection expression. Other quantities to be determined from the deflections will use derivatives. Your results will be stated in terms of W, L, EI. (Triangular shaped distributed load) A uniform beam (Constant EI) with Length = L has both ends fixed. Applied loading is a uniformly varying load, zero at the left end, W at the right end. Units of the load are pounds per foot. A) Find the expression for deflection at any point, with x measured from the left end.
The maximum deflection for the cantilever-beam below is no more than 0.03m.Macaulay’s method of double integration should be used to determine the second moment of area of the beam cross-section (I) (Please let's the final unit be in mm^4 and also provide a final check)E = 200 GN/m2 can someone please answer this question in detail who is confident in this topic with step-by-step calculations pls. I've asked this question twice now and I've gotten different answers each time so I'm at a bit of a loss. (Pls don't respond to this if you have already responded previously) Thank you
Considering the solution above, can you help with part (d) 3. The beam shown below has a Young’s modulus of 50 GPa and has a square cross-section of side1 cm. Determine the following using the second-order integration method:(a) Bending moment M(x) along the length of the beam.(b) The slope of the beam θ(x).(c) The deflection of the beam v(x).(d) Slope of the beam at support θB
Replace the loading by an equivalent resultant force and couple moment acting at point 0. Solution Strategy:1. Break the distributed load into “primal” geometric shapes. This problem lends itself to analysis in 3 primal shapes.2. The areas below the load profiles will tell you the magnitudes of the equivalent concentrated loads.3. The position of the individual concentrated loads resulting from breaking up the given load profile will be located at the centroid of each primal.4. Once you have the equivalent concentrated loads and positions for the three primals you can find the resultant force and moment about ? in one of two ways:a. Find a single equivalent force and position (like you did for 11-W) and then relocate this single force to ?? using the techniques from topic 10.b. Use the techniques from topic 10 directly on the three equivalent concentrated loads you found in steps 2 & 3.