For the following data, using the stress-transformation equations. (a) find the principal stresses and show their sense on properly oriented elements;(b) find the maximum (principal) shear stresses with the associated normal stresses and show the results on properly oriented elements; and(c) check theinvariance of the normal stresses for solutions in (a) and (b).see picture below: 1-17 through 11-20. For the following data, using the stress-transformationcquations, (a) find the principal stresses and show their sense on properly orientedclements: (b) find the maximum (principal) shear stresses with the associated nor-mal stresses and show the results on properly oriented elements:; and (e) check theinvariance of the normal stresses for solutions in (a) and (b).20 -20)11-20.MPa-20 -10,

Given Data 20 -20-20 -10 To find (a) find the principal stresses and show their sense…

For the following data, using the stress-transformation equations. (a) find the principal stresses and show their sense on properly oriented elements; (b) find the maximum (principal) shear stresses with the associated normal stresses and show the results on properly oriented elements; and (c) check the invariance of the normal stresses for solutions in (a) and (b). see picture below:

For the following data, using the stress-transformation equations. (a) find the principal stresses and show their sense on properly oriented elements; (b) find the maximum (principal) shear stresses with the associated normal stresses and show the results on properly oriented elements; and (c) check the invariance of the normal stresses for solutions in (a) and (b). see picture below:

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...

See similar textbooks

Similar questions

During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
Choose the stress to which the size correction factor should be applied in Soderberg's formula. a. Mean stress b. Yield stress c. Variable stress d. Endurance limit stress Clear my choice
The state of stress at a point on an element of material is shown. Let sigmaX= 49.0 ksi, sigmaY= 17.0 ksi, and Txy= 11.0 ksi. Use this information to represent the principle state of stress and maximum in plane shear stress. Plot the mohr circle and state sigmaX' and sigmaY' and Tx'y' with unit. Also draw the state of stress on the rotated element.
The S-N curve which represents the fatigue strength, which is measured as a stress amplitude, as a function of number of stress cycles, can be approximated by a straight line in therange of 103cycles to 106cycles when plotted as log(S) versus log(N). Beyond 106cycles,the fatigue strength remains constant. The fatigue strength of a certain alloy at 103cyclesis given as 80 % of the ultimate tensile strength and its endurance limit is 50 % of theultimate tensile strength.(a) The alloy part fails in 15 000 cycles. Calculate the percent change (increase or decrease)of the maximum applied cyclic stress amplitude if the life of the part needs to beextended by 3.5 times. Is this considered under a high or low cycle fatigue failure?State any assumptions made. (12 marks)(b) If the applied cyclic stress amplitude remains unchanged when the life is extended by3.5 times, calculate the percent change (increase or decrease) of the ultimate tensilestrength of a new alloy required. (8 marks)(c) If the…
A plane stress state is given by the principal stresses σx =25 MPa and σy= -11 MPa. Determine σx' in the case that the system is inclined by 30 degrees (counter-clockwise). Give your answer in MPa to the nearest whole number.
A member is subjected to a major stress of 110 MPa (tensile), minor stress of 40 MPa (tensile) along with a counter clockwise shear stress of 30 MPa. Calculate the Normal stress, tangential stress, Resultant stress and its inclination on plane make 20 to major stress. Validate your analytical results by drawing Mohr’s circle. i) Normal Stress (unit is MPa) = (ii) Tangential Stress (unit is MPa) = ) Resultant Stress (unit is MPa) Resultant inclination (unit in degree) =
For the plane-stress condition given below: σx = 400 MPa σy = 500 MPa τxy = - 30 MPa Construct a Mohr’s circle of stress, find: (a) the principal stresses and the orientation of the principal axes relative to the x,y axes (b) determine the stresses on an element, rotated in the x-y plane 60° counter?clockwise from its original position ; Show these stresses on a sketch of an element oriented at this angle (c) Also, using the matrix transformation law to compare the solutions with Mohr’s circle
Can you explain this part please? How you got 412.72? Stress = force/area Stress = 4849 (N)π412.72 (mm2) Stress = 38.29 MPa
eparate triaxial compression tests are performed on identical soil samples. The soil is a saturated mixed soil. Both tests follow the procedure for consolidated–undrained conditions. At failure, the respective minor and major principal stress values are 20 kPa and 46 kPa for sample one and 40 kPa and 80 kPa for sample two. From these data, determine the value for fCU and the cohesion intercept c on the Mohr’s circle shear stress coordinate. (This problem can be solved graphically using the Mohr’s circle.) Question Separate triaxial compression tests are performed on identical soil samples. The soil is a saturated mixed soil. Both tests follow the procedure for consolidated–undrained conditions. At failure, the respective minor and major principal stress values are 20 kPa and 46 kPa for sample one and 40 kPa and 80 kPa for sample two. From these data, determine the value for fCU and the cohesion intercept c on the Mohr’s circle shear stress coordinate. (This…
The drive shaft for a truck (outer diameter 60 mm and inner diameter 40 mm) is running at 42 Hz. If the shaft transmits 133 kW, what is the maximum shear stress in the shaft in MPa? Round up final answer to whole number
For the following data, using Mohr's circle of stress and trigonometry, (a) Find the principle stresses and show their sense in properly oriented element and (b) find the maximum (principle) shear stresses with the associated normal stresses and show the results on a properly oriented element.
Using Mohr's circle on each case, determine a)The principal stresses and maximun shear stress. Show all results on sketches of properly oriented elements b)Is there the invariance of normal stresses in each case?