3. Given the following stress functions, = 3x² + 3y² − σ₁ = 3y² o₂ = 3x+y-z+ 6x = -Z Tay=z-6xy-² T₁₂ = x+y= ²/ Tyz=0 (a) show that the above stress state is in equilibrium (b) for the stress state at point x = 1/2, y = 1, and z = 3/4, determine the principal stresses.
Q: A large piece of dry rock has a mass of 2450 kg and volume of 0.925 m³. The specific gravity of the…
A:
Q: Determine the force in each member of the shown truss and indicate whether it is tesion or…
A:
Q: 8 10.17 A 4.0-m thick fill is to be made of a soil with a Proctor maximum dry unit weight of 19.4…
A:
Q: For the cantilever beam given below, use Moment-Area to find slopes at A, B and C, and displacement…
A:
Q: A 20 kips 4 ft 30 kips 12 ft 3 kips/ft B 4 ft The distance from point A to point B is 20 ft, a…
A:
Q: 3. Four friends, Rashmi, Bryn, Tristin, and U'ilani, prepare to embark on a hot air balloon ride. A…
A: Given:Required:Magnitude of tension in ropes
Q: The three-plate moment connection shown below are all shop-welded to the column and then field…
A: The factored moment acting on the beam is Mu=382 kip-ft.The factored shear force acting on the beam…
Q: ts motor. Prior wind-tunnel tests disclose that the wind resistance at thi of 2.5 lb/sec, determine…
A: Maximum speed(v)= 320 mile/hr.Tresistance = 265 lb burning fuel rate (m') = 2.5 lb/ sec.
Q: Draw the influence lines for Ra, Rc, Re, Vd, and Md for the beam depicted in the accompanying…
A:
Q: The three-plate moment connection shown below are all shop-welded to the column and then field…
A: The factored moment acting on the beam is Mu=382 kip-ft.The factored shear force acting on the beam…
Q: Determine the dimensions of the lined channel to carry 200 m³s-¹
A: Q= 200 m3/ secS = 0.0004 The channel is most economical brick lined channel.
Q: Compute for the following: INST. POSITION Near STA. A Mean D.E.1 INST. POSITION Near STA. B Mean…
A:
Q: For the anchored retaining wall shown below, calculate the tension in the anchor rod. O a. 57.32…
A: Given Unit weight 17 kN/m3Depth 10 mCohesion 0Phi 28°To find out Tension
Q: 1. Given 6, = -14 MPa, o, = 6 MPa, and t₁ = -17 MPa, determine both by formulas Txy and by the…
A:
Q: The uniformly distributed live load on the floor plan in the figure given below is 65 lb/ft².…
A: Uniformly live load on the plan is 65 ft/ft2
Q: A vertical curve is needed to join to tangents; G1=0% and G2= -5%. Assuming a level grade (0%) for…
A: Vertical curves are formed when two different gradients meet at a point. If convexity of curve is…
Q: PROBLEM 3: Consider the following cable system: cables AE, BE, CE, and DE intersect at point E. The…
A: Coordinates are:-Also, Moreover, Distance, Length of Cable AE
Q: t is kinetic friction coefficient for wheel plastic on concrete floor
A: The coefficient of kinetic friction for a plastic wheel on a concrete floor gives the level of…
Q: -) A At 2m TO KN Y + 2m 5KN/M ↓ 33 +B
A:
Q: sieve analysis what's the meaning or gonna happen if the So is zero
A: A sieve test is generally called as gradation test, is one of the most important and widely used…
Q: A rectangular column of 400mm x 600mm is subjected to an axial load of 500 kN and a moment of 30 kNm…
A: A rectangular column of 400mm x 600mm is subjected to an axial load of 500 kN and a moment of 30 kNm…
Q: 300 mm is applied to the bell crank. B -450 mm- (a) Determine the normal stress developed in e 10mm…
A:
Q: Determine the ultimate load Qu per unit length that the foundation can carry. Use Terzaghi's…
A: Given:Unit weight of soil = = 105 lb/ft3 Unit weight of saturated soil = = 118 lb/ft3 Angle of…
Q: Problem 3 A Determine the maximum flexural stress (MPa) developed for the beam loaded as shown.…
A:
Q: Engineering Mechanics (Upvote will be given. Please write the complete solutions legibly. No long…
A:
Q: Problem 2. New freeway is being designed on a level terrain, free-flow speed 70 mph 12-ft lanes,…
A: A new freeway to be designed on a level terrain with a free-flow speed .12-ft lanes, 6-ft lateral…
Q: Why k2=k4 is zero here? Please explain
A: Given:Required:Explain why K2 = K4 = 0
Q: 3. Find the reactions at B (fixed support). 2 kN 2 m 1.5 kN/m 2m
A: The reactions at B = ?
Q: The equation of the effective stress failure envelope for a slightly over-consolidated clay is T₁ =…
A: Cell pressure, Major principal stress, Cohesion, To find: Angle of friction.
Q: A road has a capacity of 2597 veh/hr, and a free-flow speed of 61 mi/hr. Assuming Greenshield's…
A: Road capacity(qmax)=2597veh/hrFree flow speed (vf)=61mi/hrdensity(k)=72veh/mi=72 veh/mispeed(v)=?
Q: Engineering
A:
Q: the external and internal diameters of hollow cylinder are 115mm and 99mm respectively. when the…
A:
Q: A gage on a small (1-acre) urban parking lot recorded the following incremental rainfall data. 1.5 2…
A:
Q: Problem 2 Consider the beam-column shown. Determine the lightest W10 section that can support the…
A: Given,to determine,lightest W10 section that can support the loading shown.
Q: Derive an expression for the following in terms of Sr, e, ps, and pw (use the phase diagram): a. the…
A: r
Q: How do computer-aided design (CAD) software and 3D printing technology work together in the…
A: CAD software: It is an acronym for Computer Aided Technology.It is used to analyze, and design…
Q: A steel measuring tape measures exactly 100 ft at 60°F when subjected to a pull of 20 lb. If the…
A: Given:Designated length of the tape = L = 100 ftStandardized temperature = To = 60 oFStandardized…
Q: A simple horizontal curve has 35 degrees of curvature and subtends an angle of 110 degrees. If the…
A: Given data,simple horizontal curve has 35 degrees of curvaturesubtends an angle of 110 degrees PC is…
Q: A simply supported rectangular beam 16'' wide having and effective depth of 22'' carries a total…
A:
Q: Please draw neat diagrams. A 10' tall wall retains a sand backfill (phi= 30 degrees) with a…
A:
Q: It is considered to be the zero-elevation. plumb line horizontal line mean sea level vertical plane
A: We need to choose correct choice out of the given options.
Q: (2e) As the City embarks upon the construction of a new train-station and an upgraded ring-road, the…
A: The question requires a comprehensive discussion of how both the road repair work and the ring-road…
Q: Draw shear and moment diagrams for the beam shown below. 30 kips 2' 60 k-ft 10 kips AA 3' 4' 17' 3'…
A: Draw the shear force and moment diagram of the beam.
Q: Aggregates completely fill-up the 1 cubic meter container. If the mass of coarse aggregate inside…
A: Given:Volume of container= 1 cubic metreMass of coarse aggregate= 2010 kgSpecific gravity of coarse…
Q: Situation 7: A 600 mm x 600 mm tied column reinforced with 32 mm diam. Using f'c-28 Mpa and fy=415…
A: The vertical member or compression member of the structure is designed to resist the crushing and…
Q: Calculate the minimum wall thickness for a cylindrical vessel that is to carry a gas at a pressure…
A:
Q: Problem 3.134. Given: اده Solution: 3L- EL d = ? P = 0.75 SG=1.0 SG=1.2 Pater Find: To what depth d…
A: Given Density of body = 0.75 × density of waterWidth 6 LSpecific gravity = 1 and 1.2 To find out…
Q: Estimate the area and volume of landfill to handle the solid waste from Warriorville for 20 years.…
A: Population = 14,566Average solid waste generation rate = Average uncompacted density = Cell height =…
Q: From the following measured interior angles of a five sided figure: Station Values of Angles ( No.…
A: To find :
Q: Problem 4: Buoyancy I Pontoon bridges use buoyant forces to support loads. This problem will ask you…
A: given datasection of the pontoon bredge=10 ftbridge deck= 4 ft wideeach 10 ft section has 55 gallon…
Step by step
Solved in 4 steps with 4 images
- ox The state of stress at a given point in a material component is = 120 MPa; Oy = - 80 MPa and t = 60 MPa The loading on the component is increased so that stresses are increased to values which are k times the given values. Determine the maximum value of k if the material can withstand maximum normal and shear stresses of 300 MPa and 200 MPa respectively. 1 11Q.70 ox= X The state of stress at a point is given by : = 80 MPa, oy=100 MPa = and txy = 60 MPa. If the yield strength for the material is 150 MPa, as determined in a uniaxial test, then the maximum shear stress is, nearly A 75.5 MPa B с D 127.4 MPa 119.3 MPa 104.0 MPa1) The state of plane stress at a point is shown on the element in Figure. Determine the maximum in-plane shear stress at this point. B 50 MPa ox Ox= -80 MPa = +50 MPa Oy Txy = -25 MPa 80 MPa 80 MPa A 25 MPa Ľ 50 MPa
- A state of stress is specified in the figure shown. Determine the principal stress oy (mPa) if P =-27 mPa and v = 20 mPa PA state of stress is specified in the figure shown below. Determine the Normal stress o (mPa) on the Principal Plane if P1 = -63 mPa; P2 = -80 mPa and v= 54 mPa Py PxQ1/a. At a point in a given material the three dimensional state of stress is given by Ox=oy=oz=10 MPa, txy=20 MPa, tyz= 40Mpa, TXZ= 10 MPa. Compute the principle planes if the corresponding principles stresses are, 01=37.3 MPa , 02= - 10MPA, o3=2.7 MPa b) What are the equation of equilibrium in cartizian coordinate of stressed body
- Q 2: The state of stress at a point is characterized by the components: Ox Txy Txz [12 3 Tyx Oy Tyz = 4 [Tzx Tzy Oz 0 10. Find the values of the principal stresses and their directions?Q. No .3 On the free surface of an aluminum [E = 10,000 ksi; v = 0.33] component, the strain rosette shown in the figure was used to obtain the following normal strain data: = -500 µɛ, E = -220 µe, and &e = +600 µɛ. Determine the normal stress that acts along an axis that is rotated at an angle of 0= 45° coun- terclockwise from the positive x axis. 60 60 602. For the state of stress shown, determine the range of value of for which the normal is equal to or less than 100 MPa and 50 MPa. stress x' + 90 MPa 60 MPa =
- q10At a point in a two dimensional stress system, the normal stress on two mutually perpendicular planes are o and o and shear stress is t One of the principal stresses will become zero when the value of shear stress Txy is (a) ±(0) (c) ±/0 +0yy (d) +/oo yyThe value of stress concentration factor depends on the geometry. If Ka and Kb are stress concentration factor for case (a) and case (b), respectively, which answer of the following is true? Ka > Kb KA = KB KA < KB None of the rest.a L₁ C 3 of 6 > Determine the orientation of the planes maximum and minimum normal stress, ₂1 and ₂2. respectively. Use the value for 8,2 that is negative. Then use this value to determine the value of 8,1. Express your answers to four significant figures separated by a comma. ► View Available Hint(s) VAΣo↓ vec ? 8p1, 8p2= Submit Part B - In-plane principal stresses Determine the in-plane principal stresses for the element (as oriented in Part A), and calculate 01 and 2 such that they correspond with 81 and 8,2. Express your answers to four significant figures separated by a comma. ► View Available Hint(s) IVE ΑΣΦ vec ? 5 O