A-7.8: A simply supported beam (L = 4.5 m) with rectangular cross section (b = 95 mm, h = 280 mm) supports uniform load q = 25 kN/m. The ratio of the magnitudes of the principal stresses (σ₁/σ2) at a point a = 1.0 m from the left support and distance d 100 mm up from the bottom of the beam is approximately: = (A) 9 (B) 17 (C) 31 (D) 41 a L [h 47 b

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 8.5.7P: A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0,5 in, is subjected...
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Please show work for everything, including how the moment and shear force at distance a from the left was obtained.

A-7.8: A simply supported beam (L = 4.5 m) with rectangular cross section
(b = 95 mm, h = 280 mm) supports uniform load q = 25 kN/m. The ratio of
the magnitudes of the principal stresses (σ₁/σ2) at a point a = 1.0 m from the
left support and distance d 100 mm up from the bottom of the beam is
approximately:
=
(A) 9
(B) 17
(C) 31
(D) 41
a
L
[h
47
b
Transcribed Image Text:A-7.8: A simply supported beam (L = 4.5 m) with rectangular cross section (b = 95 mm, h = 280 mm) supports uniform load q = 25 kN/m. The ratio of the magnitudes of the principal stresses (σ₁/σ2) at a point a = 1.0 m from the left support and distance d 100 mm up from the bottom of the beam is approximately: = (A) 9 (B) 17 (C) 31 (D) 41 a L [h 47 b
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