A rectangular beam is subjected to a pure bending moment M. The cross-section of the beam is shown in Fig. 1.34. Using the elementary flexure formula, determine the normal and shearing stresses at a point (x, y) on the plane AB shown.

A rectangular beam is subjected to a pure bending moment M. The cross-section of the beam is shown in Fig. 1.34. Using the elementary flexure formula, determine the normal and shearing stresses at a point (x, y) on the plane AB shown.

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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Assignment 1.p...
Advanced Mechanics of Solids
Assignment 1
Q1:
rectangular beam is subjected to a pure bending moment M. The cross-section of the beam is
shown in Fig. 1.34. Using the elementary flexure formula, determine the normal and shearing
stresses at a point (x, y) on the plane AB shown.
AY
M
a(x, y)
45°
B
b
Fig. 1.34 Problem 1.2
Q2: The state of stress at a point is characterized by the components:
Ox Txy Txz
[12 3
Tyz =3
4
Tyx
Oy
Tzx
Tzy
10.
Find the values of the principal stresses and their directions?
Q 3: A 60° strain rosette attached to the aluminum skin of an airplane fuselage measures the following
strains in micro-meters per inch: Ea = 100, ɛn = -200, E = 400. If E = 10 x 105 Psi and v = 1/3. Compute the
principal stresses and maximum shear stresses and their planes.

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