=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

Answered: Image /qna-images/answer/34e215ea-52d4-41d2-9efc-6d11208581d0.jpg

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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*16 A prismatic bar AB of length L, cross-sectional area A, modulus of elasticity E, and weight Changs vertically under its own weight (see figure). (a) Derive a formula for the downward displacement Scof point E. located at distance It from the lower end of the bar. (b) What is the elongation SBof the entire bar? (c) What is the ratio £ of the elongation, of the upper half of the bar to the elongation of the lower half of the bar? (d) If bar A B is a riser pipe hanging from a drill rig at sea. what is the total elongation of the pipe? Let L = 1500 m, A - 0.ol57 m2, and E = 210 GPa. See Appendix 1 for weight densities of steel and sea water. (See Probs. 1.4-2 and J.7-13 for additional figures.)
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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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Determine the deflection of the beam at right end? For the beam shown in figure. If the modulus of elasticity E-72 GPa, and the moment of inertia is 1=1.9 x 10-7 m 4. Given L=3 m and w=104 N/m В w N/m A EL L In the box below, enter the reaction force R, in N at point A with correct sign upto 4 digits after the decimal point.
A steel cantilever beam of length L = 1m has a hollow rectangular cross section. The outside width and height of the cross section are b = 100mm and h = 271mm respectively and the wall thickness is 8mm. A point force of 212kN is applied at the free end of the cantilever beam. The yield strength of the steel is 290MPa. The coordinates of Point H are x = -75mm, y = 0mm, z = -46mm. Please help me calculate the factors of safety predicted at point H by the maximum shear stress theory of failure. (Tresca criterion)
For the simply supported beam carrying the concentrated load P = 268 N at its midspan, determine the magnitude of the maximum displacement (in mm) if d = 1.51 m, E = 11.77 GPa , and I =1679930mm4. NOTE: PLEASE ANSWER IT CORRECTLY. IF YOU ARE NOT SURE ABOUT THE ANSWER, PLEASE SKIP THE QUESTIONPLEASE BOX THE FINAL ANSWER(S)THANK YOU! image below for reference
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