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O Find the best uniform approximation to f(x) = sin(2.x) on [0, 27] by polynomials ofdegree at most 2.

b) Let ƒ E C[a, b]. Find the best uniform approximation to f by a constant.

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An I-beam is made20 mm x 100 mm in cross section, nailed together with a single row of nails on top and bottom as shown.of three planks, each

If the longitudinal spacing between the nails is 25 mm,and the vertical shear force acting on the cross section is600 N, what is most nearly the shear per nail?

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Problem 5: What is the bending stresses 0.05m above the neutral axis and is it tension or compression?

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A wood beam (E=20 GPa, oall, wood=15 MPa) is reinforced with attaching steel plates (E=200 GPa, ol, Steel 160 MPa) on top and bottom of beam. Determine the maximum allowable bending moment M of this section.

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Problem 3: Draw the shear and moment diagram for this beam and calculate the maximum bending stresses around the beam strong axis if the beam had rectangular cross section of 10inches deep and 3inches wide (25 points)

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Problem 2: find the location of the centroid and moment of inertia about the Z-axis for this cross section(15 points)

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Problem 1: Derive the maximum shear and moment value or equation for each of these beams in terms of w and P respectively (10 points) Hint: draw the shear and moment diagrams

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If the allowable shear stress for each of the 10mm diameter pins at A, B and C is 90 MPa and the allowable normal stress for the 13 mm diameter rod BC is 150 MPa . Determine the largest intensity w of the uniform distributed load that can be suspended from the beam shown in the figure.

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The assembly is used to support the distributed load w = 10 KN/m. Determine the factor of safety with respect to yielding for the steel rod BC and the pins at A and B if the yield stress for the steel is 250 MPa and in shear is 125 MPa. The rod has a diameter of 13 mm and the pins each have diameter of 10 mm. Furthermore, determine the amount of elongation in the rod BC knowing that the modulus of Elasticity of steel (E = 200 GPa).

Note: pins at A & C are subjected to double shear.

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The slider-crank mechanism in Fig. Q4 is in equilibrium under the action of a vertical force P acting at A and a horizontal force F acting at B. Using the principle of virtual work or otherwise, determine the ratio F/P. The angle a and the ratio of lengths AB/OA (n) are specified in the data sheet.

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A forced mass-spring-damper system obeys the following linear differential equation

m \ddot{x}+c \dot{x}+k x=f

The dependent variable 'x' represents displacement of the mass 'm'. The value of 'm', along with those of the specified undamped natural frequency on and damping ratio Ç are provided in the datasheet. Calculate the:

(a) Required values of c and k in Sl units

(b) Gain (dB) of the force-to-displacement transfer function x(s)/f(s) at angular (radian)frequencies o of 0.1, 1.0 and 10 times on.

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**Use of solution provided by us for unfair practice like cheating will result in action from our end which may include permanent termination of the defaulter’s account.Disclaimer:The website contains certain images which are not owned by the company/ website. Such images are used for indicative purposes only and is a third-party content. All credits go to its rightful owner including its copyright owner. It is also clarified that the use of any photograph on the website including the use of any photograph of any educational institute/ university is not intended to suggest any association, relationship, or sponsorship whatsoever between the company and the said educational institute/ university. Any such use is for representative purposes only and all intellectual property rights belong to the respective owners.

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