QUESTION 3 Two vertical forces are applied to a beam as in Figure Q3(a) with the cross section shown in Figure Q3(b). Determine the maximum tensile and compressive stresses in portion BC of the beam. A 15 N 3 mm 3 mm 3 mm 15 N 6 mm 40 mm 60 mm 2 mm A-B 40 mm 40 mm B-C 60 mm C-D 40 mm (a) (b) Figure Q3

QUESTION 3 Two vertical forces are applied to a beam as in Figure Q3(a) with the cross section shown in Figure Q3(b). Determine the maximum tensile and compressive stresses in portion BC of the beam. A 15 N 3 mm 3 mm 3 mm 15 N 6 mm 40 mm 60 mm 2 mm A-B 40 mm 40 mm B-C 60 mm C-D 40 mm (a) (b) Figure Q3

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.10.1P: The flat bars shown in parts a and b of the figure are subjected to tensile forces P = 3.0 kips....

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-11 A solid steel bar (G = 11.8 X 106 psi ) of diameter d = 2,0 in. is subjected to torques T = 8.0 kip-in. acting in the directions shown in the figure. Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements.
A solid aluminum bar (G = 27 GPa ) of diameter d = 40 mm is subjected to torques T = 300 N - m acting in the directions shown in the figure, Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements.
The stresses acting on element B on the web of a train rail (see figure part a of Problem 7.2-5) arc found to be 5700 psi in compression in the horizontal direction and 2300 psi in compression in the vertical direction (see figure). Also, shear stresses of magnitude 2500 psi act in the directions shown. Determine the stresses acting on an element oriented at a counterclockwise angle of 50° from the horizontal. Show these stresses on a sketch of an element oriented at this angle.
Solve the preceding problem if the stresses acting on element A on the web of a train rail (see figure part a of Problem 7.2-5) are found to be 40 MPa in tension in the horizontal direction and 160 MPa in compression in the vertical direction. Also. shear stresses of magnitude 54 MPa act in the direct ions shown in the figure. Determine the stresses acting on an element oriented at a counterclockwise angle of 520 from the horizontal. Show these stresses on a sketch of an element oriented at this angle.
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