Determine the maximum deflection of the beam using CONJUGATE BEAM METHOD. EI is constant with E=30 GPa, I=90x10^6
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Determine the maximum deflection of the beam using CONJUGATE BEAM METHOD. EI is constant with E=30 GPa, I=90x10^6 mm^4
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- -4 A simple beam ABCD has moment of inertia I near the supports and moment of iertia 2I in the middle region, as shown in the figure. A uniform load of intensity q acts over the entire length of the beam. Determine the quations of the deflection curve for the left-hand half of the beam. Also, find the angle of rotation A at the left-hand support and the deflection max at the midpoint.Determine the angle of rotation 0Band deflectionThe cantilever beam ACB shown in the figure supports a uniform load of intensity q throughout its length. The beam has moments of inertia I2and IYin parts AC and CB, respectively. Using the method of superposition, determine the deflection SBat the free end due to the uniform load. Determine the ratio r of the deflection 6Bto the deflection 3Xat the free end of a prismatic cantilever with moment of inertia /] carrying the same load. Plot a graph of the deflection ratio r versus the ratio 12 //t of the moments of inertia. (Let 7, tlxvary from I to 5.)
- -12 Determine the angle of rotation Band deflection Bat the free end of a cantilever beam AB having a uniform load of intensity q acting over the middle third of its length (see figure).A simple beam ABC DE supports a uniform load of intensity iy (see figure). The moment of inertia in the central part of the beam (BCD) is twice the moment of inertia in the end parts (AB and DE). Find the deflection Scat the midpoint C of the beam. (Obtain the solution by using the modified form of Castigliano's theorem.)The wing of a small plane is represented by a simplified prismatic cantilever beam model acted on by the distributed loads shown in the figure. Assume constant El = 1200kN-m~, Find the tip deflection and rotation at B.
- A cantilever beam has a length L = 12 ft and a rectangular cross section (b = 16 in., h = 24 in.), A linearly varying distributed load with peak intensity q0acts on the beam, (a) Find peak intensity q0if the deflection at joint B is known to be 0.18 in. Assume that modulus E = 30,000 ksi. (b) Find the location and magnitude of the maximum rotation of the beam.A simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable deflect ion at point C is 0.5 mm, select the lightest W360 section from Table F-l{b) that can be used for the beam. Assume that L = 3 m and ignore the distributed weight of the beam.-6 Calculate the maximum deflection of a uniformly loaded simple beam if the span length L = 2.0 m, the intensity of the uniform load q = 2.0 kN/m, and the maximum bending stress = 60 MPa, The cross section of the beam is square, and the material is aluminum having modulus of elasticity E = 70 GPa. (Use the formulas of Example 9-1.)
- Determine the deflection at midspan for the beam of Problem 4–69 using Castigliano's theorem. Material of the beam is steel with E=30 Mpsi. w 180 lbf/in 1.375-in dia. r1.375-in dia. Problem 4-69 11.75-in dia. +3 in + 10 in 3 inQuestion 2 A fixed-fixed beam in Figure Q2 1s loaded by a triangularly dıstributed load of maxımum intensity qo kN/m at B Use the fourth-order dıfferential equation of the deflection curve to find expressions for 2.1 reactions at A and B, 22 Determine the equatıon of the deflectuon curve o kN/m y X L Figure Q2* Given the FLEXURAL RIGIDITY of the beam shown=6000 KN.m^2, find the deflection :at the roller support 50 kN B C A 2m 3m D 3m Non of them O No deflection O -0.025 m O +0.025 m O +0.125 m O -0.125 m O