MATERIALS SCIENCE AND ENGINEERING: INTRO
10th Edition
ISBN: 9781119571308
Author: Callister
Publisher: WILEY
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The roof truss shown carries roof loads, where P = 10 kN. The truss is consisting of circular arcs top andbottom chords with radii R + h and R, respectively.Given: h = 1.2 m, R = 10 m, s = 2 m.Allowable member stresses:Tension = 250 MPaCompression = 180 MPa1. If member KL has square section, determine the minimum dimension (mm).2. If member KL has circular section, determine the minimum diameter (mm).3. If member GH has circular section, determine the minimum diameter (mm).ANSWERS: (1) 31.73 mm; (2) 35.81 mm; (3) 18.49 mm
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The cantilevered spandrel beam shown whose depth tapers from d1 to d2, has a constant width of 120mm. It carries a triangularly distributed end reaction.Given: d1 = 600 mm, d2 = 120 mm, L = 1 m, w = 100 kN/m1. Calculate the maximum flexural stress at the support, in kN-m.2. Determine the distance (m), from the free end, of the section with maximum flexural stress.3. Determine the maximum flexural stress in the beam, in MPa.ANSWERS: (1) 4.630 MPa; (2) 905.8688 m; (3) 4.65 MPa
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A concrete wall retains water as shown. Assume that the wall is fixed at the base. Given: H = 3 m, t = 0.5m, Concrete unit weight = 23 kN/m3Unit weight of water = 9.81 kN/m3(Hint: The pressure of water is linearly increasing from the surface to the bottom with intensity 9.81d.)1. Find the maximum compressive stress (MPa) at the base of the wall if the water reaches the top.2. If the maximum compressive stress at the base of the wall is not to exceed 0.40 MPa, what is the maximum allowable depth(m) of the water?3. If the tensile stress at the base is zero, what is the maximum allowable depth (m) of the water?ANSWERS: (1) 1.13 MPa, (2) 2.0 m, (3) 1.20 m
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- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. A short plate is attached to the center of the shaft as shown. The bottom of the shaft is fixed to the ground.Given: a = 75 mm, h = 125 mm, D = 38 mmP1 = 24 kN, P2 = 28 kN1. Calculate the maximum torsional stress in the shaft, in MPa.2. Calculate the maximum flexural stress in the shaft, in MPa.3. Calculate the maximum horizontal shear stress in the shaft, in MPa.ANSWERS: (1) 167.07 MPa; (2) 679.77 MPa; (3) 28.22 MPaarrow_forwardMedium 1 is a lossless dielectric (ε₁, μ₁ = μo, σ₁ = 0) Medium 2 is a perfect electric conductor (PEC) ( 2 = 0, μ2 = μo, σ₂ = ∞) [ Moσ = 0] [ε0 μ₁ σ₂ = ∞ ] (J=σE is finite, E = 0) E(z) Exe² +Пe₁²] 1. For the case εr] = λι = = E2(z)-0 - 1 (vacuum), E₁x 1 V/m and a frequency f = 500 MHz determine: n₁ = 12= 2. Determine: r = T= 3. Using this I show that the total electric field E₁0(z) in region 1 can be written as: E(z) = -2jE, sin(2лz/λ)✰ 4. The magnitude E10(z) will show an interference pattern. The SWR (standing wave ratio) is the Emax/Emin ratio of the magnitude of the total electric field in region 1. What is the SWR? E (z) = 2|E|sin(2лz/2₁)| E" (z) SWR A Imax E(z) Imin 1+r 1-|| tot 5. Roughly SKETCH the magnitude of E10(z) and E20(z) on the graph below. E₁tot(z) tot E20(z) -0.40 -0.30 -0.ło z=0 +0.1b +0.20arrow_forwardI need detailed help solving this exercise from homework of Engineering Mathematics II.I do not really understand how to do, please do it step by step, not that long but clear. Thank you!P.S.: Please do not use AI, thanks!arrow_forward
- I need detailed help solving this exercise from homework of Engineering Mathematics II.I do not really understand how to do, please do it step by step, not that long but clear. Thank you!P.S.: Please do not use AI, thanks!arrow_forwardI need detailed help solving this exercise from homework of Engineering Mathematics II.I do not really understand how to do, please do it step by step, not that long but clear. Thank you!P.S.: Please do not use AI, thanks!arrow_forwardIn the production of ethyl acetate via reactive distillation, the column operates at 5 bar with an equimolar feed (ethanol + acetic acid) at 80°C. The reaction follows: \[CH_3COOH + C_2H_5OH \rightleftharpoons CH_3COOC_2H_5 + H_2O \quad (K_{eq} = 4.2 \text{ at } 80°C)\] Given: - NRTL parameters for all binary pairs - Tray efficiency = 65% - Vapor-liquid equilibrium exhibits positive azeotrope formation Calculate the exact minimum reflux ratio required to achieve 98% ethyl acetate purity in the distillate, assuming: 1) The reaction reaches equilibrium on each tray 2) The heavy key component is waterarrow_forward
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