Two forces are applied to an AISI 1050 HR post BD, as indicated. Knowing that the cross section of the vertical part of the post is 1.5 X 2.4 in., 1- Find the state of stress for the most critical point on the round shaft (i.e., point H) 2- build the mohr's circle at point H. 3- Apply the failure theories to find the factor of safety. 4-Calculate the total strain energy in the post BD. 5-Find the deflection of point C using Castigliano's theorem in the direction of force 500 Ib. 6-Find the factor of safety of the post BD using the langer-static criterion, 7-Draw the the langer static criterion and locate the load line. 111

Two forces are applied to an AISI 1050 HR post BD, as indicated. Knowing that the cross section of the vertical part of the post is 1.5 X 2.4 in., 1- Find the state of stress for the most critical point on the round shaft (i.e., point H) 2- build the mohr's circle at point H. 3- Apply the failure theories to find the factor of safety. 4-Calculate the total strain energy in the post BD. 5-Find the deflection of point C using Castigliano's theorem in the direction of force 500 Ib. 6-Find the factor of safety of the post BD using the langer-static criterion, 7-Draw the the langer static criterion and locate the load line. 111

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

2) A machine frame is made of steel having Sy = 400 MPa and Ssy = 250 MPa. When loaded in a test fixture, the stresses were found to vary linearly with load. Two points on the surface were found to be most critical. With a 4-kN test load, stresses at these points were: point a, 0₁ = 200 MPa, 0₂ = 100 MPa; point b, 0₁ = 150 MPa, 0₂ = -100 MPa. Compute the test load at which the frame will experience initial yielding according to the (a) maximum-normal-stress theory, (b) maximum-shear-stress theory, and (c) maximum-distortion-energy theory. Discuss briefly the relative validity of each theory for this application. Considering all the information available, what is your best judgment of the value of the test load at which yielding would actually be expected to begin? 02= 100 MPa a 02 02=-100 MPa b 02 0₁ = 200 MPa 01 = 150 MPa
The part shown is loaded at point C with 295 N in the positive x direction and at point Ewith 195 N in the positive y direction. The diameter of the bar ABD is 12 mm. Evaluate the likelihood of failure in section AB. dia, d where P= 295 N, Q= 195 N, and d= 12 mm NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the stresses acting on the critical stress element. The stresses acting on the critical stress element are as follows: Ototal MPa T= MPa
Problem 4: The state of plane stress shown occurs in a machine component made of a steel with oYilled = 45 ksi. Take ox= 35.6 ksi. In the context of the maximum-distortion-energy criterion, for which of the following cases will yielding occur? If yielding does not occur, determine the corresponding factor of safety. a) Txy = 9 ksi b) Txy = 18 ksi c) Txy = 20 ksi 21 ksi
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 y
Problem #1: Re-evaluate the beam from the Module 3 homework. Recall that you determine the principal stresses at point A and B on the beam. Note: Assume the yield strength is 248 MPa. Part A: Based on that information, determine if any of the failure criteria (Rankine's theory, Tresca criterion, and Von Mises criterion) predict failure by yielding at either A or B. Present the factor of safety for all three criteria. Part B: Based on the results of Part A and what we know about the failure surfaces of these three criteria, do these computed factors of safety make sense? Where does this data point land on the failure surfaces? 20 kN 100 mm 10 kN B 100 mm 100 mm •B |A 50 mm 50 mm 2 m 2 m
1 m Section of connection for AB and BC 1m An elbow shaped frame made of Al 2024 T6 aluminum has a circular cross-section having a radius of 5mm. a. Take a cut through the section where the AB and BC segments are connected (shown in the figure at point B). Define the stress types that will occur on this section as a result of loading on the frame and show the variation of these stresses on the cross-section. b. Drawing a free body diagram, show and calculate the internal loads at point C. Show the stress distribution that are caused by these internal loads on this cross-section. Do the internal loads vary along the beam BC ?
The supporting wheel on a scaffold is held in place on the leg using a 4-mm-diameter pin as shown. (Figure 1) Figure 1 of 1 > Part A If the wheel is subjected to a normal force of P = 3.3 kN, determine the average shear stress developed in the pin. Neglect friction between the inner scaffold puller leg and the tube used on the wheel. Express your answer to three significant figures and include the appropriate units. Tavg= Submit Provide Feedback Value A Request Answer C Units ? Next >
А сube with an edge of 2·5 cm as shown in Fig. 1·4 was tested in compression. Under a load of 400 kN it failed along a plane passing through the di- agonal of the top, and through the diagonals of the adjacent 400KN 2.5cm sides. Determine the result- ant normal and shear stresses on this plane at the instant of the failure. 400 kN
Q.1. A M.S. shaft having yield stress as 232 MPa is subjected to the following stresses. o, = 120 MPa, o, = -60 MPa and ty = 36 MPa. Find the factor of safety using: (1) Rankine's theory of failure, (ii) Guest's theory of failure and (iii) Von-Mises theory of failure.
(4) The plunger of an oil pump is held against the operating cam by a spring made of No.10 W&M gage steel wire coiled with an outside diameter of 7%-in. There are five active coils. The open length is 1.1875in. What are the length & stress when a load of 30lb is applied.
The state of plane stress shown occurs at a critical point of a metal machine component. As a result of several tensile tests, it has been found that the tensile yield strength is Fy for the grade of metal used. Determine the ratio of OT/ OH shown in the figure, using the maximum-shearing-stress criterion (Tresca Hexagon). (Using Mohr circle method to calculate principle and average stresses) OX TXy Mpa Mpa Mpa MPa ob σy тху 90 -60 45 310 dy OX x Sx=Sx Sy=sy txy=txy Fy=Yield Strength Answer
3- The modulus of elasticity, and the modulus of resilience. 4- The final or fracture strain of a steel specimen, if you know that the final length of specimen after testing is 58.5mm. 5- The true stress and strain for ultimate point. Q3: The yoke-and-rod connection is subjected to a tensile force of 15 kN. Determine the average normal stress in each rod and the average shear stress in the pin A between the members. Finally, find the shear strain in pin A. Take G steel= 75GPA 40 mm 15 kN. 30 mm 30 mm 15 kN 04: In figure as shown below, assume that a 35mm diameter rivet joint the plates which are each 150mm wide. (a) if the allowable stresses 200 MPa for bearing in the plate material and 120 MPa for shearing of the rivet, determine the minimum thickness of each plate. (b)Under the conditions specified in part (a) what is the largest average stress in the plate. 35mm