The solid shaft is fixed in the wall at A (Figure Q2). A force F is applied at B, determine a) the stress components at points D and E, b) the principal stress at each of these points. (Draw free body diagram to show all loading forces and moments) Take F = 12 N and 0 = 45°. A 1,25 mm 6 mm. 8 mm 3 mm F Figure Q2

The solid shaft is fixed in the wall at A (Figure Q2). A force F is applied at B, determine a) the stress components at points D and E, b) the principal stress at each of these points. (Draw free body diagram to show all loading forces and moments) Take F = 12 N and 0 = 45°. A 1,25 mm 6 mm. 8 mm 3 mm F Figure Q2

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 7.3.25P: The stresses at a point on the down tube of a bicycle frame are trx= 4800 psi and t = -1950 psi (see...

See similar textbooks

Similar questions

-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. a
Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker (figure part a); stresses are sx= 105 MPa, sy. = 75 MPa, and ??xy= 25 MPa. Determine the stresses acting on an element oriented at an angle ?? = 40° from the x axis, where the angle is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle ??.
An clement in plane stress is subjected to stresses a, and (see figure). Using Mohr’s circle, determine the stresses acting on an element oriented at an angle 0 from the x axis. Show these stresses on a sketch of an clement oriented at the angle 0. Now. The angle 0 is positive when count erclockwisc and negative when clockwise.
An element in biaxial stress is subjected to stresses a = -29 MPa and sy = 57 MPa. as shown in the figure. Using Mohr’s circle, determine the following. (a) The stresses acting on an element oriented at a slope of I on 2.5 (see figure). (b) The maximum shear stresses and associated norm al stresses. Show all results on sketches of properly oriented elements.
-18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a) Determine the principal stresses and show them on a sketch of a properly oriented element. (b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element. 7.3-18 a=2I50kPa, ay=375kPa.Txy.=-460kPa
Acting on the sides of a stress element cut from a bar in uniaxial stress are tensile stresses of 10,000 psi and 5000 psi, as shown in the figure. (a) Determine the angle 0 and the shear stress T and show all stresses on a sketch of the element. (b) Determine the maximum normal stress amaxand the maximum shear stress Tmax in the material.
Plastic bar of diameter d = 32 mm is compressed in a testing device by a Force P = 190 N that is applied as shown in the figure. (a) Determine the normal and shear stresses acting: on all faces of stress elements oriented at (1 ) an angle 8 = 00, (2) an angle ?? = 22.5s, and (3) an angle ?? = 45°. In each case, show the stresses on a sketch of a properly oriented element. What are smaxtmax (b) Find smax and tmax in the plastic bar if a re-cantering spring of stiffness k is inserted into the testing device, as shown in the figure. The spring stillness is 1/6 of the axial stiffness of the plastic bar.
A simply supported wood beam is subjected to point load P at mid-span. The stresses on element C are known to be ??x=-92 psi and txy= -7 psi. Find the principal stresses on the element and show them on a sketch of a properly oriented clement.
The normal and shear stresses acting on element B are ??x= -46 MPa, sy= -13 MPa, and txy= 21 MPa (see figure for Problem 7.2-10). Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element.
A steel bar with a diameter d = 12 mm is subjected to a tensile load P = 9.5 kN (see figure). (a) What is the maximum normal stresser smax in the bar? (b) What is the maximum shear stress tmax? (c) Draw a stress element oriented at 45° to the axis of the bar and show all stresses acting on the faces of this element. (d) Repeat part (c) for a stress element oriented at 22.5° to the axis of the bar.
At a point on the web of a girder on a gantry crane, the stresses acting on the x face of a stress element are s= 6250 psi and ??xy= 1425 psi (see figure). What is the allowable range of values for the stress ??. if the maximum shear stress is limited to t0 = 2150 psi?
At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clement