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 ơi and oz and the maximum shear stress Tmax at point A. b) Show these stresses on sketches of properly oriented elements. A• Figure 1: A cantilever beam

Structural Analysis
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Chapter2: Loads On Structures
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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 oơi and oz and the maximum shear
stress Tmax at point A.
b) Show these stresses on sketches of properly oriented elements.
P
b.
Figure 1: A cantilever beam
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 oơi and oz and the maximum shear stress Tmax at point A. b) Show these stresses on sketches of properly oriented elements. P b. Figure 1: A cantilever beam
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