Problem- A plane-strain compression (forging) of a block is shown in the figure. The strain in the z-direction is zero. The yield strength (Sy) in uniaxial tension/compression of the material of the block is 300 MPa and it follows the Tresca (maximum shear stress) criterion. Assume that the entire block has started yielding. At a point where ox = 40 MPa (compressive) and txy = 0. the stress component oy is- Moving platen Fixed platen →X

Problem- A plane-strain compression (forging) of a block is shown in the figure. The strain in the z-direction is zero. The yield strength (Sy) in uniaxial tension/compression of the material of the block is 300 MPa and it follows the Tresca (maximum shear stress) criterion. Assume that the entire block has started yielding. At a point where ox = 40 MPa (compressive) and txy = 0. the stress component oy is- Moving platen Fixed platen →X

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A metal block (E = 60 GPa and Poisson's ratio of 0.35) rests on a rigid surface as shown below. It has uniformly applied loads which results in uniform stresses on the surfaces as shown. Assuming a compressive stress of 200 MPa along x-direction, determine the magnitude of stress oy for which the change in the height of the bock will be zero, (b) the corresponding change in the area of the face ABCD, and (c) the corresponding change in the area of the volume of the block. 40 2 100mm 25mm
The components of plane stress at a critical point on a steel shell are shown in the figure below. The yield stress (Gy) of the material in simple tension is 250 MPa. 60 MPa 40 MPa 70 MPa (a) Determine the magnitude of the principal stresses and maximum shear stress. Sketch these on appropriately orientated elements. (b) Calculate the factor of safety against yield on the basis of i. Tresca failure criterion ii. Von Mises failure criterion
The state of plane strain at a point is ɛ = 800 × 10-6, ɛ, = 200 x 10-6 and y. = -600 x 10-6. If material %3D properties are E = 200 GPa and µ = 0.30, then the major principal stress is (nearest integer) MPа.
At a point in a stressed material the stress components are: Ox= -30, Oyy = 75, 1 = 72, Tyz = 40, 0 = 110 T= 30, all are in MPa Calculate the normal, shear and resultant stresses on a plane whose normal makes an angle of 40° with the x axis and 60° with the y-axis.
PROBLEM 1 A circular aluminum tube of L=600mm is loaded in by compressive forces at its ends. The outside and inside diameters are 75mm and 63mm respectively. A strain gage is placed on the outside of the tube to measure nomal strains in the longitudinal direction. E=73 GPa and Poisson's is 0.33. a. If the normal stress in the tube is 57 MPa, what is the load P? b. if the strain is 781 X 10-6, what is the shortening of the tube? What is the percent change in its cross-sectional area.
The rectangular plate is deformed into the shape shown by the dashed lines. Determine the average normal strain along diagonal AC, and the average shear strain at corner A relative to the x, y axes.
At a point in a machine component that is subjected to plane stress, the normal and shear stresses are σx= 100 MPa, σy= 65 MPa, and τxy= 70 MPa, acting in the directions shown in the figure. At this point, determine the strain components εx, εy, εz, and γxy. Assume that E = 71 GPa and v = 0.28 for the machine component.
Using the maximum shear stress (MNST) and maximum normal stress theory (MSST) , find the minimum yield strength to be used for the beam shown in the figure(attached). Choose an appropriate material accordingly. T=300 N.m M=250 N.m F=800 N and Take the safety factor as 2.5
For the state of plane stress shown below. 74. Determine the largest value of σy for which the maximum in-plane shearing stress is equal to 75 MPa. Determine the corresponding principal stresses.
A cube (E - 20OGPA) is experiencing stress from all directions. Along the x-direction, there is a compressive stress of 50MPA. Along the y-direction, there is a tensile stress of 80MPA. Along the z-direction, there is a tensile stress of 100MPA. Solve the strain along the z-axis if the Poisson's Ratio is 0.3. O 0.000520 O 0.000455 O 0.000416 0.000325
At a creation point in a strained material, the principle stresses are 100N/mm2 and 40 N/mm2 both in tensile. Find normal, tangential and resultant stresses across a plane through the point at 480 to the major principal plane using Mohr's circle of stress.
Calculate the longitudinal stress at the anchor location for a silicon cantilever with the length L = 150 pm, the height b = 4 μm, and the tip displacement r = 1 μm. Assume E= 170 GPa and p = 0.1.