=The steel curved bar shown has rectangular cross-section with a radial height h = 6 mm and thickness b = 4mm. Theradius of the centroidal axis is R = 80 mm. A force P = 10 N is applied as shown. Assume the steel modulus of207,000 MPa and G = 79.3(103) MPa, repectively.elasticity and shear modulus E =Find the vertical deflection at point B. Use Castigliano's method for a curved flexural member and since R/h > 10,neglect the effect of shear and axial load, thereby assuming that deflection is due to merely the bending moment.Note the inner and outer radii of the curves bar are:r = 80 + ½ (6) = 83 mm, r₁ = 80 − ½ (6) = 77 mm22Sπ/2 sin² 0 d = √π/² cos² 0 d0 =Π04大CRBP

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Answered: = The steel curved bar shown has…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.5.6P: The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of...

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A solid steel sphere (E = 210 GPa, v = 0.3) is subjected to hydrostatic pressure p such that its volume is reduced by 0.4%. (a) Calculate the pressure p. (b) Calculate the volume modulus of elasticity K for the steel. (c) Calculate the strain energy U stored in the sphere jilts diameter is d = 150 mm.
(1) A cantilever steel beam with the triangular cross section is loaded with the concentrated force as shown. The modulus of elasticity for steel is 30 million psi and Poisson's ratio is 0.28. The second area moment of triangular beam about is centroid is I= bh³/36 (b: width, h: height). Find the stress state at point M within the cross-section B. y X 4 ft 4 ft 200 lb N.A. Cross section M 2 in 1 in 1 in 1 in
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Q.3 A steel column (E = 30 x10 3 ksi) that is fixed at the base and free at the top is constructed of a W 8 x 35 wide-flange member (see figure). The column is 9.0 ft long. The force P acting at the top of the column has an eccentricity e =1.25 in. The geometric properties of section are; A = 10.3 in2, depth = 8.12 in, Imax = 127 in4, Ileast = 42.6 in4. a) If P = 40 k, what is the maximum compressive stress in the column? b) If the yield stress is 36 ksi and the required factor of safety with respect to yielding is 2.1, what is the allowable load Pallow?
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The lever must exert a force of P = 3800 Ibs at B as shown. The lever lengths are a = 11 in. and b = 47 in. The allowable bending stress for the lever is 12600 psi. If the lever height h is to be 3.5 times the lever thickness t (i.e., h/t = 3.5), what is the minimum thickness t that can be used for the lever? h Cross section Lever a Answer: t = i in.

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