Bar of steel, (yield strenght Sy = 462 MPa) is subjected to the following stresses; σx = 171 MPa , σy = -144 MPa , τxy = 175 MPa Using the Distortion-Energy Theory determine the factor of safety and check is the bar will fail or not.
Q: 4. A cylinder with inner radius a and outer radius 2a is subjected to internal pressure p,. Using a…
A:
Q: The shaft AB made of steel has an outside diameter of 165 mm and a wall thickness of 9.5 mm. The…
A: given:
Q: The bar shown made from steel (Sut = 80 ksi) is subjected to a fully reversed bending moment of 1250…
A: Given data
Q: The state of plane stress at a critical point in a steel machine bracket is shown. If the yield…
A:
Q: determine the maximum length of the shaft using the maximum-shear-stress theory (Tresca yield…
A:
Q: A loading condition is shown below. The wires at point A and D both made from a steel with the yield…
A: Drawing the free body diagram of the given question:-
Q: The steel shaft has a radius of r=50 mm. Determine the torque (T) applied to the shaft if the two…
A: Given Data Radius of the steel shaft is : r=50 mm εx'=-80×10-6 εy'=80×10-6 Young's modulus of steel…
Q: A cylinder which can be considered as a thin-walled shell, is made of steel plate 16 mm thick and is…
A: Part A) Now find the hoop stress due to rotation as follows.
Q: The components of plane stress at a critical point on a thin steel shell are shown. Determine if…
A: Given data:
Q: Two vertical steel wires each 1.5mm diameter and 1.2m long support a light rod over a span of 0.3m.…
A:
Q: The stainless-steel shaft shown below is solid with a diameter of 120 mm. The shaft is fixed at A…
A: Given:DIameter, d=120 mmTB=500 N.mTC=800 N.mG=75 GPa
Q: The d = 14-mm-diameter solid rod passes through a D = 19-mm-diameter hole in the support plate. When…
A:
Q: The cylinder has an inner diameter of 4 in. and a wall thickness of 0.1 in. If it is subjected to an…
A:
Q: The crank is loaded by a single force F, = 200 lb which causes twisting and bending of the 1-in…
A:
Q: The assembly consists of three titanium (Ti-6A1-4V) rods and a rigid bar AC. 6ft AAn = 1 in Agg = 2…
A:
Q: A solid shaft made of a ductile brass alloy is subjected to an array of loads, resulting in the…
A: Maximum shear stress theory Maximum shear stress theory is also known as Guest's theory. According…
Q: Figure 2 shows a solid shaft consisting of two prismatic circular parts in equilibrium under the…
A:
Q: A helical spring has a shearing stress of 120.6 Mpa with 20 turns. The spring has a deformation of…
A: Given Data⇒ Helical Spring Shearing Stressζ=120.6 MPaNumber of turnsN=20 turnsDeformation∂=98.7…
Q: Determine the diameter of hollow shaft having inside diameter 0.5 times the outside diameter. The…
A:
Q: A 1-in, constant diameter shaft, is loaded with forces at A and B as shown, with ground reaction…
A:
Q: (a) the maximum principal stresses on the surface of the shaft at points A and B, (b) the maximum…
A:
Q: Problem 4.2 The stepped shaft shown in Figure below is subjected to a tensile load of 32 kN and to a…
A: Given: F=32 kNSut=830 MPaE=207 GPaT=150 NmSy=620 MPa
Q: If sY = 50 ksi, determine the factor of safety for this loading against yielding based on (a) the…
A: Given data Yield strength of the material, Sy = 50 ksi. (a) From maximum shear stress theory,…
Q: 2. A solid circular steel rod with a radius of r = 50mm is subjected to an axial compressive load P…
A:
Q: Determine to the nearest millimeter the minimum diameter of the solid shaft if it is subjected to…
A: Given: The allowable strength of the material, Sall = 150 MPa Consider x-z plane, The maximum…
Q: 4) The thin flat bar is axially loaded with tensile orce P 45 kN and the yield stress in the bar is…
A:
Q: For a weighing machine, the allowable load of 3000 N is loaded on a helical spring which it resulted…
A:
Q: A vertical rod of length L and diameter d is fixed at its upper end and carries a load Wat its lower…
A:
Q: Q-4 This problem illustrates that the factor of safety for a machine element depends on the…
A: *The magnitude of the force F is F=0.55 kN. *The magnitude of the force P is P=4 kN. *The magnitude…
Q: A loading condition is shown below. The wires AB and CD both have yield strength (Sy) of 71 ksi,…
A: Draw the free-body diagram of the system.
Q: ? B 30 mm 400N.m 1000N
A:
Q: The shaft consists of a titanium alloy tube AB and a solid stainless steel shaft BC. Tube AB has a…
A:
Q: Q4 (DÖÇ-1) For the given gear-shaft system failure shear stress for the shafts is 90 MPa, If the…
A: FOS = FAILURE SHEAR STRESSALLOWABLE SHEAR STRESS 1.5 = 90τallowτallow = 60 MPa d2 = 60 mm = 0.06 m…
Q: Ten bolts of 10 mm diameter are used to connect two shafts as shown. If the mean diameter of the…
A:
Q: span of 0.3m. A concentrated load of 250N is then applied vertically downwards at a point 0.1m from…
A:
Q: The 304-stainless-steel cylinder has an inner diameter of 4 in. and a wall thickness of 0.1 in. If…
A:
Q: shaft is subject to the stresses at the tip point as given below; Tmean = 100 Nm, Taiternating= 50…
A:
Q: Given: l1=1,3l; l2=1,9l; l3=1,2l; M1=-0,6M; M2=-1,6M; M3=1,9M. Parameter of length l=40cm; cross…
A:
Q: If the journal bearings at A and B exert only horizontal and vertical forces on the shaft, determine…
A:
Q: The bar shown made from steel (Sut = 70 ksi) is subjected to a fully reversed bending moment of 1000…
A: When external load acting on a component is not static, but varying in magnitude with respect to…
Q: If the material is machine steel having a yield stress of sY = 750 MPa, determine the factor of…
A: Given: yield stress is τys=750 MPa from the figure given we observe that σx=-500MPa and σy=200MPa…
Q: The 304-stainless-steel cylinder has an inner diameter of 4 in. and a wall thickness of 0.1 in. If…
A: Check this question is thin vessel or not r/t=2/0.1=20>10 it is thin cylindrical pressure vessel…
Q: The aluminum shell is fully bonded to the brass core, and the assembly is unstressed at a…
A:
Q: The bar shown made from steel (S= 90 ksi) is subjected to a fully reversed bending mornent of 1500…
A: Given data:
Step by step
Solved in 2 steps with 1 images
- , Solve the preceding problem using the numerical data: /) = 90mm, h = 280 mm, d = 210 mm, q = 14 kN/m, and L = L2 m.Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.The strength-to-weight ratio of a structural material is defined as its load-carrying capacity divided by its weight. For materials in tension, use a characteristic tensile stress obtained from a stress-strain curve as a measure of strength. For instance, either the yield stress or the ultimate stress could be used, depending upon the particular application. Thus, the strength-to-weight ratio RS/Wfor a material in tension is defined as Rs/w= in which a is the characteristic stress and 7 is the weight density. Note that the ratio has units of length. Using the ultimate stress Uas the strength parameter, calculate the strength-to-weight ratio (in units of meters) for each of the following materials: aluminum alloy 606I-T6, Douglas fir (in bending}, nylon. structural steel ASTM-A57.2, and a titanium alloy. Obtain the material properties from Tables [-1 and 1-3 of Appendix I. When a range of values is given in a table, use the average value.
- Solve the preceding problem if the thickness of the steel plate is. t = 12 mm. the gage readings are x = 530 × 10-6 (elongation) and y = -210 -× l0-6 (shortening), the modulus is E = 200 GPa, and Poisson’s ratio is v = 0.30.Bar of steel, (yield strenght Sy = 559 MPa) is subjected to the following stresses; σx = 176 MPa , σy = 107 MPa , τxy = 222 MPa Using the Maximum Shear Stress Theory (MSS) determine the factor of safety and check is the bar will fail or not.2. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces F = 0.55 kN, P = 4.0 kN, and T = 25 N•m. Compute factors of safety, based upon the distortion energy theory, for stress elements at A and B of the member shown below. Transverse shear stress ignored here. 100 mm 15-mm D.
- 2. The following handle is loaded at points B and C, as shown below. 0.8 m 40 mm 0.4 m If the force P = 20F, and the material of the handle has Sy = 250 MPa: a. Show the stress state at element A. b. Using the distortion energy theory, find the maximum force F that guarantees a safety factor of 1.4.The shaft is supported by journal bearings at A and B that exert force components only in the x and z directions. Part A d= PLÅ Value Ĵ t O Determine the smallest diameter of the shaft. Use the maximum shear stress theory of failure with Tallow Express your answer to three significant figures and include appropriate units. Units HATT F = 200 lb ? X 8 in. 1 4 in. 8 in. N A 8 ksi 4 in. D F. = 50 lb 8 in. 4 in. F = 250 lb 4 in. SE B y1. We can visualize the factor of safety for an arbitrary stress using a surface in principal stress space. For a ductile material that yields according to a von Mises criterion with a yield stress σy, sketch the von Mises surface in σ₁ - 02 space and sketch the stress surface that corresponds to a factor of safety FoS = 2. For a brittle material that yields according to a max normal (Rankine) criterion with a tensile strength Gyt and a compressive strength σvc = 20yt, sketch the yield surface and the surface that corresponds to a factor of safety FoS = 2.
- The bxd xhrubber blocks shown are used in a double U shear mount to isolate the vibration of a machine from its supports. An applied load of P- 750 N causes the upper frame to be deflected downward by 4.9 mm. Determine the average shear strain and the shear stress in the rubber blocks. Assume b 16 mm, d 28 mm, and h= 28. Double U anti-vibration shear mount Rubber block dimensions Shear deformation of blocks Answers: Average shear strain- rad. Average shear stress- kPa. 478316This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here you are to compute factors of safety, based upon the distortion-energy theory, for stress elements at A and B of the member shown in the figure. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces F = 0.55 kN, P = 4.0 kN, and T = 25 N · m. Page 279 y 100mm A 15-mm dia. P T x. Problem 5-36EHide bl OP=287 N OP=573 N Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a material having a Young's modulus E = 200 Gpa and a Poisson's ratio of 0.3. If a tensile force F is subjected to that rod cross-section, the diameter becomes 3.998 mm. determine the applied force F. Select one: OF=10472 N OF=15708 N OF=6283 N O F= 4189N F = 13090 N OF= 5236 N Finish attempt.. US ACTIVITY O Test-Spring 2020-2021 Jump to...