(c). At a point in an elastic material the stresses on three mutually perpendicular planes are as follows: First Plane: 50 MPa tensile and 40 MPa shear Second plane: 30 MPa compressive and 40 MPa shear Third plane: No stress Find, (i) The position of principal planes and the magnitude of principal stresses.

(c). At a point in an elastic material the stresses on three mutually perpendicular planes are as follows: First Plane: 50 MPa tensile and 40 MPa shear Second plane: 30 MPa compressive and 40 MPa shear Third plane: No stress Find, (i) The position of principal planes and the magnitude of principal stresses.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Problem 2 The rigid bar is plnned at A and held by two flexible bars at E and C. The load P Is applled at B. The two flexible bars FE and DC each have a diameter of 1 In. The flexible bars are elastic- perfectly plastic with a yleld stress equal to 20 ksl and a yleld strain of 0.001. Determine the following: The load R, at first yleld and the corresponding deflection at B, &, The ultimate load Pu and the corresponding deflection du The permanent deflection and residual stresses in each rod if the ultimate load is removed Construct P - A curve showing yield, ultimate and permanent deformation o (ksi) 1 ft E F 1 ft1 ft 20 B P e (in./in.) 0.001 1 ft D 2 ft 1 ft A
At a point on the surface of a machine component the stresses acting on the e face of a stress element are or = 55 MPa and Txy = 30 MPa (see figure). T- 30 MPa a, = 55 MPa What is the allowable range of values for the stress oy if the maximum shear stress is limited to TO = 34 MPa? Round to one decimal place. (a) Lower limit is MPa (b) Upper limit is MPa
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(1) 1d. What is the shear stress on an element with principal stresses of 565 psi and -435 psi?
It is a type of stress produced by two contacting separate bodies. (A) Axial Stress B Bending Stress Shearing Stress D Bearing Stress Generally defined as force intensity per unit area. (A) Internal Loading (B) Deformation Stress D) Strain
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3. The rigid bar ABC is pinned at B and attached to the two vertical rods. Initially, the bar is horizontal and the vertical rods are stress-free. Determine the stress in the steel rod if the temperature of the both rods is decreased by 30°C. Neglect the weight of bar ABC. Steel L=0.9 m A 300 mm E= 200 x 10 N/m' a= 11.7 um/(m C) Aluminum L=1.2 m A = 1200 mm E = 70 x 10 N/m a= 23 pum/(m "C) Answer: Ost B 0.6 m 1.2 m
Practice 2 A fixed ended steel beam 8m long carries a uniform load 20kN/m and an axial tensile force of 200KN. The properties of steel section is as follows: A = 7800 mm? d = 324 mm Ix = 140x10 mm ly = 16x10 mmt What is the axial stress of the beam, in MPa. What is the actual bending stress in the beam due to uniform load alone acting on the beam, in MPa. -. What is the interaction value if Fb = 210 MPa and Ft = 100 MPa? answer key а.)25.64 Мра b.) 123.43 Мра c.) 0.844
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a. At a point in a given material the three dimensional state of stress is given by ox = oy oz = 10 MPa ,Txy F 20 MPa, Tyz = %3D !! TXZ = 10 MPa. Compute the principle planes if the corresponding principles stresses are, ol = 37.3 MPa, c2 = 10MPA, o3 =2.7 MPa %3D %3D b. , What no