A cantilever beam of rectangular cross section is subjected to a concentrated load P = 150 kN acting at the free end (see Figure 1). The beam has width b = 80 mm. and height h = 260 mm. Point A is located at distance e = 0.5 m from the free end and distance d= 220 mm. from the bottom of the beam. a) Using Mohr's circle, calculate the principal stresses oi and oz and the maximum shear stress Tmax at point A. b) Show these stresses on sketches of properly oriented elements.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.4.7P: A cantilever beam(Z, = 6 ft) with a rectangular cross section (/> = 3.5 in., h = 12 in.) supports an...
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A cantilever beam of rectangular cross section is subjected to a concentrated load P = 150 kN
acting at the free end (see Figure 1). The beam has width b = 80 mm. and height h = 260 mm.
Point A is located at distance c = 0.5 m from the free end and distance d = 220 mm. from the
bottom of the beam.
a) Using Mohr's circle, calculate the principal stresses oi and o2 and the maximum shear
stress Tmax at point A.
b) Show these stresses on sketches of properly oriented elements.
A•
Transcribed Image Text:A cantilever beam of rectangular cross section is subjected to a concentrated load P = 150 kN acting at the free end (see Figure 1). The beam has width b = 80 mm. and height h = 260 mm. Point A is located at distance c = 0.5 m from the free end and distance d = 220 mm. from the bottom of the beam. a) Using Mohr's circle, calculate the principal stresses oi and o2 and the maximum shear stress Tmax at point A. b) Show these stresses on sketches of properly oriented elements. A•
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