34 Pages

solutions_Chapter03

Course Number: CIVL 3322, Spring 2011

College/University: U. Memphis

Word Count: 7904

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3.1 At the proportional limit, a 12-inch gage length of a 0.75-in.-diameter alloy bar has elongated 0.0325 in. and the diameter has been reduced 0.0006 in. The total tension force on the bar was 17.5 kips. Determine the following properties of the material: (a) the modulus of elasticity. (b) Poissons ratio. (c) the proportional limit. Solution (a) The bar cross-sectional area is D2 = (0.75 in.) 2 = 0.441786...

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U. Memphis - CIVL - 3322
4.1 A stainless steel alloy bar 25 mm wide by16 mm thick is subjected to an axial load ofP = 145 kN. Using the stress-strain diagramgiven in Fig. P4.1, determine:(a) the factor of safety with respect to theyield strength defined by the 0.20% offsetm
U. Memphis - CIVL - 3322
5.1 A steel [E = 200 GPa] rod with a circular cross section is 6-m long. Determine the minimumdiameter D required if the rod must transmit a tensile force of 30 kN without exceeding an allowablestress of 180 MPa or stretching more than 5 mm.SolutionIf
U. Memphis - CIVL - 3322
5.14 Rigid bar ABCD is loaded and supported asshown in Fig. P5.14. Steel [E = 30,000 ksi] bars(1) and (2) are unstressed before the load P isapplied. Bar (1) has a cross-sectional area of0.625 in.2 and bar (2) has a cross-sectional areaof 1.25 in.2.
U. Memphis - CIVL - 3322
5.23 The 200 200 1,200-mm oak [E = 12 GPa] block (2)shown in Fig. P5.23 was reinforced by bolting two 6 200 1,200mm steel [E = 200 GPa] plates (1) to opposite sides of the block. Aconcentrated load of 360 kN is applied to a rigid cap. Determine:(a) th
U. Memphis - CIVL - 3322
5.44 A 20-mm-diameter by 3.5-m-long steel rod (1)is stress free after being attached to rigid supports,as shown in Fig. P5.44. At A, a 25-mm-diameterbolt is used to connect the rod to the support.Determine the normal stress in steel rod (1) and thesh
U. Memphis - CIVL - 3322
5.62 The machine part shown in Fig. P5.62is in. thick and is made of SAE 4340 heattreated steel (see Appendix D for properties).Determine the maximum safe load P if afactor of safety of 2 with respect to failure byyield is specified.Fig. P5.62Soluti
U. Memphis - CIVL - 3322
6.1 A solid circular steel shaft having an outside diameter of D = 1.25 in. is subjected to a pure torque ofT = 1,900 lb-in. Determine the maximum shear stress in the shaft.SolutionThe polar moment of inertia for the shaft isD4 =(1.25 in.) 4 = 0.2396
U. Memphis - CIVL - 3322
6.26 A torque of TA = 525 lb-ft is applied to gear Aof the gear train shown in Fig. P6.26. The bearingsshown allow the shafts to rotate freely.(a) Determine the torque TD required for equilibriumof the system.(b) Assume shafts (1) and (2) are solid 1
U. Memphis - CIVL - 3322
6.42 The driveshaft of an automobile is being designed to transmit 280 hp at 3,500 rpm. Determine theminimum diameter required for a solid steel shaft if the allowable shear stress in the shaft is not toexceed 4,000 psi.SolutionThe torque in the drive
U. Memphis - CIVL - 3322
6.67 A hollow circular cold-rolled bronze [G1 = 6,500 ksi] tube (1) with an outside diameter of 2.00 in.and an inside diameter of 1.25 in. is securely bonded to a solid 1.25-in.-diameter cold-rolled stainlesssteel [G2 = 12,500 ksi] core (2) as shown in
U. Memphis - CIVL - 3322
6.79 The torsional assembly of Fig. P6.79 consistsof a cold-rolled stainless steel tube connected to asolid cold-rolled brass segment at flange C. Theassembly is securely fastened to rigid supports at Aand D. Stainless steel tube (1) and (2) has anou
U. Memphis - CIVL - 3322
6.94 A fillet with a radius of 0.15 in. is used at the junction in a stepped shaft where the diameter isreduced from 4.00 in. to 3.00 in. Determine the maximum shear stress in the fillet when the shaft istransmitting a torque of 4,000 lb-ft.SolutionFi
U. Memphis - CIVL - 3322
6.101 A torque of magnitude T = 1.5kip-in. is applied to each of the barsshown in Fig. P6.101. If the allowableshear stress is specified as allow = 8 ksi,determine the minimum requireddimension b for each bar.Fig. P6.101Solution(a) Circular Sectio
U. Memphis - CIVL - 3322
7.1 For the cantilever beam and loading shown,(a) Derive equations for the shear force V and thebending moment M for any location in the beam.(Place the origin at point A.)(b) Plot the shear-force and bending-momentdiagrams for the beam using the der
U. Memphis - CIVL - 3322
7.7 For the simply supported beam subjected to theloading shown,(a) Derive equations for the shear force V and thebending moment M for any location in the beam.(Place the origin at point A.)(b) Plot the shear-force and bending-momentdiagrams for the
U. Memphis - CIVL - 3322
7.24 Use the graphical method to construct theshear-force and bending-moment diagrams for thebeams shown. Label all significant points on eachdiagram and identify the maximum moments (bothpositive and negative) along with their respectivelocations. C
U. Memphis - CIVL - 3322
7.31 Draw the shear-force and bending-momentdiagram for the beam shown in Fig. P7.31. Assumethe upward reaction provided by the ground to beuniformly distributed. Label all significant pointson each diagram. Determine the maximum value of(a) the inte
U. Memphis - CIVL - 3322
8.1 During fabrication of a laminated timber arch, one of the 10 in. wide by 1 in. thick Douglas fir [E =1,900 ksi] planks is bent to a radius of curvature of 12 ft. Determine the maximum bending stressdeveloped in the plank.SolutionFrom Eq. (8.3):E
U. Memphis - CIVL - 3322
8.19 A WT230 26 standard steel shape is used to support the loads shown on the beam in Fig. P8.19a.The dimensions from the top and bottom of the shape to the centroidal axis are shown on the sketch ofthe cross section (Fig. P8.19b). Consider the entire
U. Memphis - CIVL - 3322
8.31 A solid steel shaft supports loadsPA = 200 lb and PD = 300 lb as shownin Fig. P8.31. Assume L1 = 6 in.,L2 = 20 in., and L3 = 10 in. The bearingat B can be idealized as a roller supportand the bearing at C can be idealizedas a pin support. If th
U. Memphis - CIVL - 3322
8.42 A composite beam is fabricated by bolting two 3 in. wide 12 in. deep timber planks to the sidesof a 0.50 in. 12 in. steel plate (Fig. P8.42b). The moduli of elasticity of the timber and the steel are1,800 ksi and 30,000 ksi, respectively. The simpl
U. Memphis - CIVL - 3322
8.52 A steel pipe assembly supports aconcentrated load of 17 kN as shown in Fig.P8.52. The outside diameter of the pipe is 142mm and the wall thickness is 6.5 mm.Determine the normal stresses produced atpoints H and K.Fig. P8.52SolutionSection pro
U. Memphis - CIVL - 3322
8.65 A beam with a box cross section is subjected toa resultant moment magnitude of 2,100 N-m actingat the angle shown in Fig. P8.65. Determine:(a) the maximum tension and the maximumcompression bending stresses in the beam.(b) the orientation of the
U. Memphis - CIVL - 3322
9.1 For the following problems, a beam segment subjected to internal bending moments at sections Aand B is shown along with a sketch of the cross-sectional dimensions. For each problem:(a) Sketch a side view of the beam segment and plot the distribution
U. Memphis - CIVL - 3322
9.11 A 1.6-m long cantilever beam supports a concentrated load of 7.2 kN, as shown below. The beamis made of a rectangular timber having a width of 120 mm and a depth of 280 mm. Calculate themaximum horizontal shear stresses at points located 35 mm, 70
U. Memphis - CIVL - 3322
9.18 A 50-mm-diameter solid steel shaftsupports loads PA = 1.5 kN and PC = 3.0 kN,as shown in Fig. P9.18. Assume L1 = 150mm, L2 = 300 mm, and L3 = 225 mm. Thebearing at B can be idealized as a rollersupport and the bearing at D can be idealizedas a
U. Memphis - CIVL - 3322
9.38 A wooden beam is fabricated from one 2 8 and two 2 4 piecesof dimension lumber to form the I-beam cross section shown in Fig.P9.38. The flanges of the beam are fastened to the web with nails thatcan safely transmit a force of 100 lb in direct shea
U. Memphis - CIVL - 3322
10.1 For the loading shown, use the doubleintegration method to determine (a) theequation of the elastic curve for thecantilever beam, (b) the deflection at the freeend, and (c) the slope at the free end.Assume that EI is constant for each beam.Fig.
U. Memphis - CIVL - 3322
10.21 For the beam and loading shown inFig. P10.21, integrate the load distribution todetermine (a) the equation of the elasticcurve for the beam, and (b) the maximumdeflection for the beam. Assume that EI isconstant for the beam.Fig. P10.21Solutio
U. Memphis - CIVL - 3322
10.29a For the beams and loadings shownbelow, determine the beam deflection atpoint H. Assume that EI = 8 104 kN-m2 isconstant for each beam.Fig. P10.29aSolutionDetermine beam slope at A.[Appendix C, SS beam with concentrated moment.]Relevant equa
U. Memphis - CIVL - 3322
10.47 The simply supported beam shown inFig. P10.47 consists of a W410 60structural steel wide-flange shape [E = 200GPa; I = 216 106 mm4]. For the loadingshown, determine:(a) the beam deflection at point B.(b) the beam deflection at point C.(c) the
U. Memphis - CIVL - 3322
11.1 A beam is loaded and supported asshown in Fig. P11.1. Use the doubleintegration method to determine themagnitude of the moment M0 required tomake the slope at the left end of the beamzero.Fig. P11.1SolutionMoment equation:xM a a = M ( x) + w
U. Memphis - CIVL - 3322
11.18a For the beams and loadings shownbelow, assume that EI = 3.0 104 kN-m2 isconstant for each beam.(a) For the beam in Fig. P11.18a, determinethe concentrated upward force P required tomake the total beam deflection at B equal tozero (i.e., vB =
U. Memphis - CIVL - 3322
11.26 For the beam and loading shownbelow, derive an expression for the reactionsat supports A and B. Assume that EI isconstant for the beam.Fig. P11.26SolutionChoose the reaction force at A as the redundant; therefore, the released beam is a cantil
U. Memphis - CIVL - 3322
11.35 The beam shown in Fig. P11.35consists of a W360 79 structural steelwide-flange shape [E = 200 GPa; I = 225 106 mm4]. For the loading shown,determine:(a) the reactions at A, B, and C.(b) the magnitude of the maximum bendingstress in the beam.
U. Memphis - CIVL - 3322
11.47 A W530 92 structural steel wideflange shape [E = 200 GPa; I = 554 106mm4] is loaded and supported as shown inFig. P11.47. Determine:(a) the force and moment reactions atsupports A and C.(b) the maximum bending stress in thebeam.(c) the deflec
U. Memphis - CIVL - 3322
12.1 The stresses shown in the figure act at a point in a stressedbody. Using the equilibrium equation approach, determine thenormal and shear stresses at this point on the inclined plane shown.Fig. P12.1SolutionFn = n dA (215 MPa) cos 25(dA cos 25)
U. Memphis - CIVL - 3322
12.9 The stresses shown in the figure act at a point in a stressed body.Determine the normal and shear stresses at this point on the inclinedplane shown.Fig. P12.9SolutionThe given stress values are: x = 4, 200 psi, y = 1,800 psi, xy = 0 psi, = +50
U. Memphis - CIVL - 3322
12.25 Consider a point in a structural member that is subjected to planestress. Normal and shear stresses acting on horizontal and vertical planesat the point are shown.(a) Determine the principal stresses and the maximum in-plane shear stressacting a
U. Memphis - CIVL - 3322
12.47 Mohrs circle is shown for a point in aphysical object that is subjected to plane stress.(a) Determine the stresses x, y, and xy and showthem on a stress element.(b) Determine the principal stresses and themaximum in-plane shear stress acting at
U. Memphis - CIVL - 3322
12.75 At a point in a stressed body, the known stresses are x = 40 MPa (T), y = 20 MPa (C), z = 20MPa (T), xy = +40 MPa, yz = 0, and zx = +30 MPa. Determine:(a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 40, 7
U. Memphis - CIVL - 3322
13.1 The thin rectangular plate shown in Fig. P13.1 isuniformly deformed such that x = +890 , y = 510 ,and xy = +680 rad.(a) Determine the normal strain AC along diagonal AC ofthe plate.(b) Determine the normal strain BD along diagonal BD ofthe plat
U. Memphis - CIVL - 3322
In Problems 13.23 through 13.26, the principal strains are given for a point in a body subjected to planestrain. Construct Mohrs circle and use it to(a) determine the strains x, y, and xy. (Assume x &gt; y)(b) determine the maximum in-plane shear strain a
U. Memphis - CIVL - 3322
13.39 The strain rosette shown in the figure was used to obtain normalstrain data at a point on the free surface of a machine part.(a) Determine the strain components x, y, and xy at the point.(b) Determine the principal strains and the maximum in-plan
U. Memphis - CIVL - 3322
13.49 A 10-mm-thick aluminum [E = 70 GPa; = 0.33]plate is subjected to biaxial stress with x = 120 MPa andy = 60 MPa. The plate dimensions are b = 100 mm and h= 50 mm (see Fig. P13.49).(a) Determine the change in length of edges AB and AD.(b) Determi
U. Memphis - CIVL - 3322
14.1 Determine the normal stress in a ball, which has an outside diameterof 220 mm and a wall thickness of 3 mm, when the ball is inflated to agage pressure of 110 kPa.Fig. P14.1SolutionD = 220 mmt = 3 mmd = 220 mm 2(3 mm) = 214 mma =pd (0.110 MP
U. Memphis - CIVL - 3322
15.1 A 3-in.-diameter solid shaft is subjected toboth a torque of T = 25 kip-in. and an axialtension load of P = 40 kips, as shown in Fig.P15.1.(a) Determine the principal stresses and themaximum shear stress at point H on thesurface of the shaft.(
U. Memphis - CIVL - 3322
15.19 A tee-shaped flexural member (Fig. P15.19b) is subjected to an internal axial force of P = 1,000lb, an internal shear force of V = 600 lb, and an internal bending moment of M = 1,500 lb-ft, as shown inFig. P15.19a. Determine the principal stresses
U. Memphis - CIVL - 3322
15.29 For the vertical flexural member shown,determine the principal stresses and the maximumshear stress acting at points H and K, as shown onFigs. P15-29a and P15-29b. Show these stresses onan appropriate sketch for each point.Fig. P15.29aFig. P15
U. Memphis - CIVL - 3322
15.37 A short rectangular post supports a compressive load of P = 120 kN as shown in Fig. P15.37a. Atop view of the post showing the location where load P is applied to the top of the post is shown in Fig.P15.37b. Determine the vertical normal stresses
U. Memphis - CIVL - 3322
15.43 A 2.5-in.-diameter solid aluminum post issubjected to a horizontal force of V = 3 kips, a verticalforce of P = 7 kips, and a concentrated torque of T = 11kip-in., acting in the directions shown in Fig. P15.43.Assume L = 3.5 in. Determine the nor
U. Memphis - CIVL - 3322
15.53 A steel shaft with an outside diameter of1.25 in. is supported in flexible bearings at itsends. Two pulleys are keyed to the shaft, andthe pulleys carry belt tensions as shown in Fig.P15.53.(a) Determine the normal and shear stresses onthe top
FSU - ENC - 1101
How To Write A Paper (3rd draft) By Colton BatehamMe: Heyy. Carl: Yo dude Me: Whatcha up to bro? Carl: nm, just ate. U? Me: Dangg. Tryin to procrastinate on this paper I gotta write. Carl: oh, well, I already told some friends I was down to longboard man
FSU - ENC - 1101
Crots Paper Process Memo Colton BatehamNothing directly inspired me to write about procrastinating in my crots paper. I started texting my friends, and I noticed I was putting off my work by texting. Anything was allowed to be in the essay, so, I put my
FSU - ENC - 1101
Colton Bateham p.61-p.81 - = New slide - = big dash * = smaller (sub) dash-btw Rachael, make a title page from the chapter title and the list on page 62. -Google vs. the Library -Google: *Convenient *Only about 50% of results were considered &quot;good&quot; -the
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FSU - ENC - 1101
Colton Bateham Professor Burnett ENC 1105 27 September 2010 Florida State on the Upswing In College Football there are a handful of programs known as the elite. These teams dominate their opponents year after year and create a dynasty for their school. Fl
FSU - ENC - 1101
Radical Remediation Process Memo Colton BatehamFor my radical remediation or, radical revision, I chose to create a post secret postcard. The postcard was modeled as if it were created by the Narrator in my 3rd paper, the short story paper. My Narrator i
FSU - AMH - 2097
Exam 3 (Final Exam) Study GuideItalians I. Stereotypes of Italians A. Organized Crime B. Food Pasta &amp; Pizza C. Guido D. Family-Oriented II. Italy A. No such thing as &quot;Italy&quot; A.1. City-states are controlled by families. A.2. 1859-1919 Unification A.2.a. S
FSU - AMH - 2097
Notes for Race and Ethnicity in the United States Test 1 Terms Race the assumption of differences based on real or imagined physical characteristics Racism assuming that someone is inferior or superior to you based on race Ethnicity similar cultural
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Notes for test 2 V. Forced Labor Movement Atlantic/ Triangle Slave Trade Involvement in the trade: 1500-1880 (this class focuses on the English involvement) Types of slaves traded: o 75% male o 75% are adults (18-26 years old) Passage to the New World (Fo