Review Sheet for OPTI 421 at UA
Review Sheet for OPTI 421 at UA
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Date Created: 02/06/15
OPTI 421521 Introduction to Optomechanical Engineering Review for Midterm 2 Midterm is 50 minutes closed book closed notes Review the material that was covered on the first exam You are expected to know this Statics I Draw free body diagrams I Solve for reaction forces and moments I Determine state of constraint I Kinematic constraints Solid mechanics I Know stress strain relations for normal and shear I Know how to use these relationships to derive forcedisplacement relationships for simple geometry 0 Axial load 0 Torque o Shear 0 Bending I Use superposition Maxwell s reciprocity Calculate stiffness compliance for any geometry Calculate resonant frequency self weight de ection I Use above relationships to solve problems tables with beam bending relationships and calculation of l A K for complex cross sections Will be provided if appropriate Vibrations and shock I Be able to apply the Transmissibility curve and equations for vibration isolation I Calculate acceleration for an object dropped from some height Thermal effects I Calculate thermal strains use this to solve problems I Know how to determine change in focal length with temperature I Atherm alization I Conductivity and transient thermal response relations Materials I Understand definitions for all important material properties I Know approximate values for material properties 0 All of the properties for common materials BK7 Fused silica aluminum 0 Important properties for special materials HW 8 0 Approximate properties of common adhesives epoxy RTV I Use these to solve problems Mechanical failure I Determine stress in glass metal or adhesive I Apply strength of materials to design for survivability Fasteners and adhesives I Apply basic knowledge of fasteners and adhesives I Calculate compliance and thermal stresses in bonded joints Motion control I Define the parts of a stage What are limitations I Explain different types of bearings What are relative advantages and disadvantages I Understand sources of error I What are advantages and disadvantages of using flexures Optical Engineering 421521 Midterm 2 Example questions 1 Draw a plot showing the relationship between stress and strain for a metal Label the slope of the curve Show the microyield strength Precision Elastic Limit yield strength ultimate strength 2 Name 3 materials with nearzero coefficient of thermal expansion Give approximate values for their density 3 List two metals that have very low thermal conductivity Give an approximate value for the conductivity of this In aterial 4 Consider using a shaft made from the metal in Prob 3 for a cryostat feedthrough Assume 10 cm length with one end at ambient temperature and the other at 77K Determine the cross sectional area of the shaft that will limit the steady state conductive heat transfer to 1 W 5 Show how to use a combination of aluminum and titanium to maintain a spacing of 10 inches that does not change with temperature 6 A 10 mm diameter lens has a requirement ofR 100 01 mm Calculate the tolerance in terms of the sag of the surface Is this tight 7 A pitch polished aspheric mirror will typically have surface roughness of 20 angstroms rms This causes wide angle scatter Calculate the total amount of scatter from one of these mirrors at 400 nm light Hints 7 get RMSWE then Strehl ratio use your understanding of the Strehl ratio to determine the scatter 8 List a material with excellent specific stiffness Give the approximate value for Young s modulus and for density 9 Calcium uoride has excellent optical properties Give the approximate refractive index for 300 nm wavelength light It has poor mechanical properties Give the approximate CTE at 20 C 10 If a mass m is loaded onto a compliant support that has stiffness k determine the de ection 5 Give an expression for the resonant frequency of this system in terms of k and m Derive an expression for the resonant frequency that depends only on 5 and g gravity 11 Sketch a plot of resonant frequency in Hz vs de ection from static loading 12 List a common material that transmits 35 um wavelengths Give approximate values for refractive index and dndT 13 List a common material that transmits 250 nm wavelengths Give approximate values for refractive index and CTE 14 List an optical material with low stressoptic coefficient Give approximate value for the dispersion of this material 15 Consider a BK7 prism bonded to aluminum with 1 mm thick RTV The bond is circular 20 mm diameter a Calculate the shear stiffness for the bond b Calculate the torsional stiffness for the bond c Use the bulk modulus to estimate that axial stiffness of the bond ignore the edge effects d Estimate the stress for a 20 C temperature change 16 Consider the geometry below A 10in aluminum cantilever is supported at the end by a 4 long steel wire A mass is suspended from the end by another thin wire 4 in long steel wire cross sectional area 00003 in2 10 in long aluminum beam 4 in long steel wire 1 X 1 1 Cross 560mm cross sectional area 00003 in2 A a Calculate the stiffness for the each ofthe wires in tension and for the beam in bending b Determine the combined effect and give the total de ection atA as a 10 pound weight is suspended c Give the resonant frequency for this system ignore the mass ofthe bar 17 S39k39etch a 3view orthographic projection ofthe following part A 18 Calculate the reactions at B to maintain static equilibrium 15 Consider an aluminum bar 05 in diameter circular cross section 12 in long 05 diam Circular cross section Diameter D A nD24 I nD464 J nD432 12in What is the mass or weight of the bar For 100 lbs 445 N axial force What is the stress in the material How much does the bar stretch when this 100 lb load is applied Sketch the deformation in the bar if a bending moment not twisting of l inlb is applied to one end and reacted against the other What is the change in angle from one end to the other How much will the length of the bar expand if it is heated uniformly by 10 C What is the stress in the bar if it is heated by 100 F yet fully constrained so it cannot expand Problem 16 Estimate A through F for a bar with the same dimensions as the previous problem but made of fused silica titanium SiC Zerodur invar 19 Consider the structure below made by bolting two steel plates together The plates are 2 inch wide 05 inch thick One plate is 10 inches long and the other is 30 inches long 30 V 10 10 lb l a Calculate the weight of each plate b For the case of a 10 pound force as shown sketch a free body diagram for the assembly c Calculate reaction forces for static equilibrium 20 For a BK7 glass cube beamsplitter 25 x 25 mm What is the approximate weight or mass Assume this is supported on 3 Delrin plastic pads each has 1 mm2 cross sectional area and 1 mm thickness E 3 GPa Ifthis is dropped so that it takes a shock load of 100 G s Calculate the stress in the glass and compare it with the approximate strength 21 How does the optical power change with temperature for lens made of a fused silica 22 What size Allen wrench is used for a 1420 socket head cap screw 23 What is a Belleville washer How is this used 24 Give the diameter and thread pitch for an M61 screw 25 What is the difference between a Grade 2 and a Grade 5 fastener 26 For Titanium Aluminum stainless steel SiC Be BK7 fused silica polystyrene give approximate values for CTE E density thermal conductivity 27 Give approximate strength shear modulus elastic modulus for epoxy 28 Give approximate strength shear modulus elastic modulus for RTV 29 As a 50 lb optical system is mounted on isolators the isolators de ect by 1 mm What is the resonant frequency If the isolators have 10 damping what is the Q Sketch a plot of the isolator transmissibility For base motion of 1006 GA2Hz calculate the rms acceleration for the isolated system Calculate the rms displacement for this case If the system is dropped onto its isolators 50cm determine the acceleration shock loading 30 Give the main advantage and disadvantage for using bearings of the type Journal Ball bear Rollerbearing exure 31 What material property is most important for exures Name one material that is good for exures What is the value ofthe relevant material property 32 How do you calculate glass strength How do you account for critical aws 33 Explain the relationship between bulk modulus and Young s modulus The uniform 5m bar with a mass of 100 kg is hinged at O and prevented from rotating in the vertical plane beyond the 30 Dosition bv the xed roller at A Calculate the reaction force at A I 10 20 Consider the structure below made by welding two aluminum bars together The bars have 1 X 1 cross section The 15 bar is welded at the midpoint ofthe cantilevered 30 bar 30 t A 1 B D T y 2 15 C gt You need to calculate the motion of point D as the force F 10 lbs applied as shown at point C Follow the four easy four steps below a Use the free body diagram and find the forces and moment exerted on 1 at point B due to force F b Determine the bending 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