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Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 15.10, Problem 5KCP
To determine
Explain Snell’s law of light reflection with a diagram.
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The steel curved bar shown has rectangular cross-section with a radial height h = 6 mm and thickness b = 4mm. The
radius of the centroidal axis is R = 80 mm. A force P = 10 N is applied as shown. Assume the steel modulus of
207,000 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 mm
2
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Sπ/2 sin² 0 d = √π/² cos² 0 d0 =
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4
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B
P
The steel eyebolt shown in the figure is loaded with a force F = 75 lb. The eyebolt is formed from round wire of
diameter d = 0.25 in to a radius R₁ = 0.50 in in the eye and at the shank.
Estimate the stresses at the inner and outer surfaces at section A-A.
Notice at the section A-A:
r₁ = 0.5 in, ro
= 0.75 in
rc
=
0.5 + 0.125 = 0.625 in
Ri
200
F
FA
I have the fallowing question and solution from a reeds naval arc book. Im just confused as to where this answer came from and the formulas used. Wondering if i could have this answer/ solution broken down and explained in detail.
A ship of 7000 tonne displacement has a waterplane areaof 1500 m2. In passing from sea water into river water of1005 kg/m3 there is an increase in draught of 10 cm. Find the Idensity of the sea water.
picture of the "answer" is attached
Chapter 15 Solutions
Foundations of Materials Science and Engineering
Ch. 15.10 - Write the equation relating the energy of...Ch. 15.10 - Prob. 2KCPCh. 15.10 - Prob. 3KCPCh. 15.10 - Prob. 4KCPCh. 15.10 - Prob. 5KCPCh. 15.10 - Explain why metals absorb and/or reflect incident...Ch. 15.10 - Prob. 7KCPCh. 15.10 - Prob. 8KCPCh. 15.10 - Prob. 9KCPCh. 15.10 - Prob. 10KCP
Ch. 15.10 - Prob. 11KCPCh. 15.10 - Prob. 12KCPCh. 15.10 - Prob. 13KCPCh. 15.10 - Prob. 14KCPCh. 15.10 - Prob. 15KCPCh. 15.10 - Prob. 16KCPCh. 15.10 - What are the basic elements of an optical-fiber...Ch. 15.10 - Prob. 18KCPCh. 15.10 - Explain how optical fibers act as waveguides.Ch. 15.10 - Prob. 20KCPCh. 15.10 - Prob. 21KCPCh. 15.10 - Prob. 22KCPCh. 15.10 - Prob. 23KCPCh. 15.10 - Prob. 24KCPCh. 15.10 - Prob. 25KCPCh. 15.10 - Why are type I superconductors poor...Ch. 15.10 - Prob. 27KCPCh. 15.10 - Prob. 28KCPCh. 15.10 - Prob. 29KCPCh. 15.10 - Prob. 30KCPCh. 15.10 - Prob. 31KCPCh. 15.10 - Prob. 32AAPCh. 15.10 - A semiconductor emits green visible radiation at a...Ch. 15.10 - Prob. 34AAPCh. 15.10 - Calculate the reflectivity of ordinary light from...Ch. 15.10 - Prob. 36AAPCh. 15.10 - Prob. 37AAPCh. 15.10 - Prob. 38AAPCh. 15.10 - Prob. 39AAPCh. 15.10 - Prob. 40AAPCh. 15.10 - Prob. 41AAPCh. 15.10 - Prob. 42AAPCh. 15.10 - Prob. 43AAPCh. 15.10 - Prob. 44AAPCh. 15.10 - Prob. 45AAPCh. 15.10 - Prob. 46AAPCh. 15.10 - Prob. 47AAPCh. 15.10 - Prob. 48AAPCh. 15.10 - Prob. 49AAPCh. 15.10 - Prob. 50AAPCh. 15.10 - Prob. 51AAPCh. 15.10 - Prob. 52SEPCh. 15.10 - Prob. 53SEPCh. 15.10 - Prob. 54SEPCh. 15.10 - Prob. 55SEPCh. 15.10 - Prob. 56SEP
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- Problem A2 long steel tube has a rectangular cross-section with outer dimensions of 20 x 20 mm and a uniform wall thickness of 2. The tube is twisted along its length with torque, T. The tube material is 1045 CD steel with shear yield strength of S,, =315 MPa. Assume shear modulus, G = 79.3GPa. (a) Estimate the maximum torque that can be applied without yielding (b) Estimate the torque required to produce 5 degrees total angle of twist over the length of the tube. (c) What is the maximum torque that can be applied without yielding, if a solid rectangular shaft with dimensions of 20 x 20 is used? You may use the exact solution.arrow_forwardA simply supported beam is loaded as shown. Considering symmetry, the reactions at supports A and B are R₁ = R₂ = wa 2 Using the singularity method, determine the shear force V along the length of the beam as a function of distance x from the support A. A B Ir. 2a За W C R₁₂ x 2. Using the singularity method, determine the bending M along the length of the beam as a function of distance x, from the support A. 3. Using the singularity method, determine the beam slope and deflection along the length of the beam as a function of the distance x, from the support A. Assume the material modulus of elasticity, E and the moment of inertia of the beam cross-section, I are given.arrow_forwardA steel tube, 2 m long, has a rectangular cross-section with outer dimensions of 20 × 30 mm and a uniform wall thickness of 1 mm. The tube is twisted along its length with torque, T. The tube material is 1018 CD steel with shear yield strength of Ssy =185 MPa. Assume shear modulus, G = 79.3GPa. (a) Estimate the maximum torque that can be applied without yielding.- (b) Estimate the torque required to produce 3 degrees total angle of twist over the length of the tube. (c) What is the maximum torque that can be applied without yielding, if a solid rectangular shaft with dimensions of 20 x 30 mm is used? You may use the exact solution:arrow_forward
- |The typical cruising altitude of a commercial jet airliner is 10,700 m above sea level where the local atmospheric temperature is 219 K, and the pressure is 0.25 bar. The aircraft utilizes a cold air-standard Brayton cycle as shown with a volume flow rate of 1450 m³/s. The compressor pressure ratio is 50, and the maximum cycle temperature is 1700 K. The compressor and turbine isentropic efficiencies are 90%. Neglect kinetic and potential energy effects in this problem. Assume constant specific heats with k=1.4, Ra=0.287 kJ/kg- K, Cp=1.0045 kJ/kg-K, and cv = 0.7175 kJ/kg-K. a) Draw a T-s diagram for this cycle on the diagram provided. b) Fill in the table below with the missing information. T[K] Heat exchanger Heat exchanger State P [bar] 1 0.25 2s 2 3 4s 4 Turbine c) (5pts) Determine the inlet air density in [kg/m³] (at state 1), and the system mass flowrate in [kg/s]. d) (10pts) Determine the net power developed in [MW]. Be sure to draw each component you are analyzing, define the…arrow_forwardOn the axis provide, draw a corresponding T-s diagram for the Brayton cycle shown given the following information: iv. V. vi. Compressor 1 is reversible, but Compressor 2 and the turbine are irreversible. The pressure drops through the regenerator are combustors are negligible. The pressures at state (1) and state (10) are equal to the atmospheric pressure. T 8 Regenerator fmm mmm Qin Combustor Compressor Compressor Turbine W cycle Intercooler mm Courarrow_forwardFor parts a) through e), consider the two power cycles shown in the diagram at the right, Cycle A: 1-2-3-4-1, and Cycle B: 1-2-3-4-1. a) What type of power cycles are shown? b) Which of cycles has a higher efficiency? c) Which of the cycles has a higher work output? d) For either cycle, would increasing the maximum cycle temperature (3) increase or decrease the efficiency? Cycle A: 1-2-3-4-1 3 3 Cycle B: 1-2-3-4-1 1 e) For either cycle, would decreasing the minimum cycle temperature (1) increase or decrease the efficiency? f) On the axis provide, draw a corresponding T-s diagram for the Rankine cycle shown given the following information: i. All turbines and pumps in the system are irreversible. ii. 111. The turbine inlet conditions (states 1 and 2) are superheated, while the 2nd stage turbine outlet is a saturated mixture. The condenser outlet state (4) and the CFWH outlet state (7) are saturated liquid. 2 Steam generator Condenser www Closed feedwater heater (1-y) T Pump Trap 8 (y) Sarrow_forward
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