4) A metal plate has an area of face is 1m x 1 m and thickness of 1cm.One face of a larger area is fixed and a tangential force is applied to the opposite face. The displacement of the edge produced thereby is 0.005 cm.Modulus of rigidity of metal is 8.4 x 10" n/m? Determine (a) The stress (b) The strain (c) Shearing forcelU)

4) A metal plate has an area of face is 1m x 1 m and thickness of 1cm.One face of a larger area is fixed and a tangential force is applied to the opposite face. The displacement of the edge produced thereby is 0.005 cm.Modulus of rigidity of metal is 8.4 x 10" n/m? Determine (a) The stress (b) The strain (c) Shearing forcelU)

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 7.7.7P: A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the...

See similar textbooks

Similar questions

3. The propeller of a fishing boat is rigidly connected to a 3.8-cm. driveshaft through a O.95- cm diameter steel bolt. The bolt was designed to shear/break when the shear stress caused by hitting an underwater debris or obstruction reaches 180 MPa. Determine the contact force on the propeller blade (upon hitting a debris or obstruction) that will cause the bolt to shear/break. Assume the contact point of the debris or obstruction on the blade is 10- cm from the center of the propeller. Contact point of debris or obstruction Fc Fs- shearing force Fc- contact force T- torque Bolt 10 cm Driveshaft Fs Fs-
At a point in a piece of elastic material there are three mutually perpendicular planes on which the stresses are as follows : tensile stress 50 N/mm2, shear stress 40 N/mm2 on plane, compressive stress 35 N/mm2 and complementary shear stress 40 N/mm2 on the second plane, no stress on the third plane. Find (a) the principal stresses and the positions of the plane on which they act (b) the position of the planes on which there is no normal stress.
Q2: A rod 1.5 m long and of diameter 3 cm is subjected to an axial pull of 28 KN. If the Young's modulus of the material of the rod is 2×10 N/mm², determine: (i) Stress (ii) Strain (iii) The elongation of the rod
Q2: A rod 1.5 m long and of diameter 3 cm is subjected to an axial pull of 28 KN. If the Young's modulus of the material of the rod is 2×105 N/mm?, determine: (i) Stress (ii) Strain (iii) The elongation of the rod
Q.3) A structural member in plane strain has the following strains at a point: & 360 μ , E, = 230 µ, Ky = 150 µ (a) Determine the strains for an element oriented at an angle of 60° counter clockwise. (b) Determine the principal strains and the maximum shear strain using strain transformation equations. (c) Show the result of parts (a) and (b) via sketches of properly oriented elements. Ey Yxy 1 Ex
1. (a) Show that for an isotropic lamina in plane stress, the strain-stress relations are €1 11 S12 01 S12 S11 €6 2(S11 – S12), where S11 = 1/E and S12 = -v/E. (b) Show that Q11 Q12 €1 02 Q12 Q11 06 €6 where Q11 Q12 and Q66 = +v) · 1-v² ,
3. An axial pull of 35000 N is acting on a bar consisting of three lengths as shown below. If the Young's Modulus is 2.1 x 105 N/mm2. Determine (i) Stresses in each section, and; (ii) Total extension of the bar. Section 3 Section 2 Section 1 35000 N 35000 N 2 cm DIA 3 cm DIA 5 cm DIA k-20 cm- 25 cm -22 cm-
The normal and shear stresses acting on one plane passing through a point in a soil mass are 120 psi compression and 25 psi, respectively. On an orthogonal plane, the respective stresses are 40 psi compression and 25 psi. (a) Draw the Mohr’s circle for this stress condition. (b) What are the principal stresses? (c) Determine the angle between the plane on which the 120 psi stress acts and the major principal plane. (d) What is the maximum shear stress acting at the point?
(a) Due to a loading, the plate (ABCD) is deformed into the dashed shape shown in Fig. 1(a). Determine the average normal strain along the side AB, and the average shear strain in the plate at B relative to the lines AB and BC. A B 60° Figure 1(a) 250 mm 300 mm
Mohr's Circle At a point, the normal and shear stresses acting on one plane are 8000 psf compression and 2000 psf, respectively. On a perpendicular plane, the normal and shear stress combination is 2000 psf compression and 2000 psf. (a) Draw the Mohr's circle. (b) Determine the value of the principal stresses. (c) Find the angle between the plane on which the 8000 psf compressive stress acts and the major principal plane. (d) What is the maximum shear stress acting at the point? kindly answer the following with a complete solution so that i can understand how to solve it. thank you
Q5: At a point in a strained material the stresses acting on planes at right angles to each other are o, 30, MN/m² tensile, together with associated shear stresses which assumed clockwise in effect on oy plane. If the maximum principal stress is limited to 1002 MN/m² tensile, and xy-60 MN/m², calculate: (a) the magnitude of the o, and oy; (b) the values of the maximum and minimum principal stresses; (c) the directions of the principal planes; (d) the maximum shear stress.
Rigid bar ABCD is supported by two bars as shown. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in bar (2) is measured as −3,300 μm/m. Use the dimensions L1 = 1,600 mm, L2 = 1,200 mm, a = 240 mm, b = 420 mm, and c = 180 mm. Determine (a) the normal strain in bar (1). (b) the normal strain in bar (1) if there is a 1 mm gap in the connection at pin C before the load is applied. (c) the normal strain in bar (1) if there is a 1 mm gap in the connection at pin B before the load is applied.