1. A plane element is subject to the stresses shown in the figure below. Using Mohr's circle, determine (a) the principal stresses and their directions, and (b) the maximum shearing stresses and the directions of the planes on which they occur. Ans: σ = 20MPa at 63.4° 02 -80MPa, Tmax=50MPa at 18.4° 40MPa 60MPa

1. A plane element is subject to the stresses shown in the figure below. Using Mohr's circle, determine (a) the principal stresses and their directions, and (b) the maximum shearing stresses and the directions of the planes on which they occur. Ans: σ = 20MPa at 63.4° 02 -80MPa, Tmax=50MPa at 18.4° 40MPa 60MPa

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

Plane AB is under pressure and Plane AB has an angle = 30 degrees to sigma = 50 nPa.a. Determine the equations used to calculate the normal and shear stress in the plane ABb. Draw a normal vector sketch on the plane AB and the angle formed between the normal vector andc. Calculate normal stress and shear stress in plane AB (Round up to 4 digits after comma)d. Plot the point normal stress and shear stress plane AB on the Mohr Diagram sketch.
The state of stress at a point in a member is shown on the element. Determine the absolute normal stress component acting on the inclined plane AB in ksi.
Solve it correctly
An element in uniaxial stress is subjected totensile stresses σx = 57 MPa, as shown in the figure.Using Mohr’s circle, determine the following.(a) The stresses acting on an element oriented at anangle θ =-33° from the x axis (minus meansclockwise).(b) The maximum shear stresses and associatednormal stresses.Show all results on sketches of properly orientedelements.
Q.2) A state of stress is specified as shown in Figure (2), By using Mohr's circle determine the normal and shearing stresses and their directions on: a- The principal planes? b- The planes of maximum shearing stress? c- The planes whose normals are at (+50°) and (+140°) with x-axis? show your results on complete sketches of differential elements. 80 MPa E Y4 50 MPa 40 MPa 4 50 MPa 40 MPa Figure (2) 80 MPa With Best Wishes
Problem # 4: Four steel bars jointly support a mass of 25 x 10³ kg. Initially the temperature is 25°C. Bars A and D have a cross-sectional area of 480 mm². For bars B and C, the cross-sectional area is 360 mm². Determine the elongation of bar A when the temperature becomes 60°C. Also, find the axial stress developed in bar C. Use E = 200 GPa and a = 11.7 x 10-6 m/ (m°C). 800 mm D 20 B °8 25000 kg 20 O
The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Calculate the shear strain, Yxy, at A. Also, calculate the average normal strain & along the x' axis. 800 mm 45% 45° 800 mm 5 mm
Q1) A stat of stress is specified in Figure. By using Mohr's circle determine the normal and shearing stresses on the principal plane, and sketch the results. 18 MPa 60 MPa 15 MPA
n=8