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3-140 Shown in the figure is a 12-gauge (0.1094-in) by 1-in latching spring that supports a load of F = 3 lbf. The inside radius of the bend is ½ in. (a) Using straight-beam theory, determine the stresses at the top and bottom surfaces immediately to the right of the bend. (b) Using curved-beam theory, determine the stresses at the inner and outer surfaces at the bend. (c) By comparing the stresses at the bend with the nominal stresses before the bend, estimate effective stress concentration factors for the inner and outer surfaces. 4 in A A -in R. in Problem 3-140 F No. 12 gauge (0.1094 in) Section A-A 3-141 Repeat Problem 3-140 with a 10-gauge (0.1406-in) material thickness. 3-142 Repeat Problem 3-140 with a bend radius of ½ in. Shown in the figure is a 12-gauge (0.1094-in) by -in latching spring that supports a load of F = 3 lbf. The inside radius of the bend is + in. (a) Using straight-beam theory, determine the stresses at the top and bottom surfaces immediately to the right of the bend. (b) Using curved-beam theory, determine the stresses at the inner and outer surfaces at the bend. (c) By comparing the stresses at the bend with the nominal stresses before the bend, estimate effective stress concentration factors for the inner and outer surfaces.

3-140 Shown in the figure is a 12-gauge (0.1094-in) by 1-in latching spring that supports a load of F = 3 lbf. The inside radius of the bend is ½ in. (a) Using straight-beam theory, determine the stresses at the top and bottom surfaces immediately to the right of the bend. (b) Using curved-beam theory, determine the stresses at the inner and outer surfaces at the bend. (c) By comparing the stresses at the bend with the nominal stresses before the bend, estimate effective stress concentration factors for the inner and outer surfaces. 4 in A A -in R. in Problem 3-140 F No. 12 gauge (0.1094 in) Section A-A 3-141 Repeat Problem 3-140 with a 10-gauge (0.1406-in) material thickness. 3-142 Repeat Problem 3-140 with a bend radius of ½ in. Shown in the figure is a 12-gauge (0.1094-in) by -in latching spring that supports a load of F = 3 lbf. The inside radius of the bend is + in. (a) Using straight-beam theory, determine the stresses at the top and bottom surfaces immediately to the right of the bend. (b) Using curved-beam theory, determine the stresses at the inner and outer surfaces at the bend. (c) By comparing the stresses at the bend with the nominal stresses before the bend, estimate effective stress concentration factors for the inner and outer surfaces.

Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.2.7P: The stresses acting on element B on the web of a train rail (see figure part a of Problem 7.2-5) arc...
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3-140 Shown in the figure is a 12-gauge (0.1094-in) by 1-in latching spring that supports a load of F = 3 lbf. The inside radius of the bend is ½ in. (a) Using straight-beam theory, determine the stresses at the top and bottom surfaces immediately to the right of the bend. (b) Using curved-beam theory, determine the stresses at the inner and outer surfaces at the bend. (c) By comparing the stresses at the bend with the nominal stresses before the bend, estimate effective stress concentration factors for the inner and outer surfaces. 4 in A A -in R. in Problem 3-140 F No. 12 gauge (0.1094 in) Section A-A 3-141 Repeat Problem 3-140 with a 10-gauge (0.1406-in) material thickness. 3-142 Repeat Problem 3-140 with a bend radius of ½ in.
Transcribed Image Text:3-140 Shown in the figure is a 12-gauge (0.1094-in) by 1-in latching spring that supports a load of F = 3 lbf. The inside radius of the bend is ½ in. (a) Using straight-beam theory, determine the stresses at the top and bottom surfaces immediately to the right of the bend. (b) Using curved-beam theory, determine the stresses at the inner and outer surfaces at the bend. (c) By comparing the stresses at the bend with the nominal stresses before the bend, estimate effective stress concentration factors for the inner and outer surfaces. 4 in A A -in R. in Problem 3-140 F No. 12 gauge (0.1094 in) Section A-A 3-141 Repeat Problem 3-140 with a 10-gauge (0.1406-in) material thickness. 3-142 Repeat Problem 3-140 with a bend radius of ½ in.
Shown in the figure is a 12-gauge (0.1094-in) by -in latching spring that supports a load of F = 3 lbf. The inside radius of the bend is + in. (a) Using straight-beam theory, determine the stresses at the top and bottom surfaces immediately to the right of the bend. (b) Using curved-beam theory, determine the stresses at the inner and outer surfaces at the bend. (c) By comparing the stresses at the bend with the nominal stresses before the bend, estimate effective stress concentration factors for the inner and outer surfaces.
Transcribed Image Text:Shown in the figure is a 12-gauge (0.1094-in) by -in latching spring that supports a load of F = 3 lbf. The inside radius of the bend is + in. (a) Using straight-beam theory, determine the stresses at the top and bottom surfaces immediately to the right of the bend. (b) Using curved-beam theory, determine the stresses at the inner and outer surfaces at the bend. (c) By comparing the stresses at the bend with the nominal stresses before the bend, estimate effective stress concentration factors for the inner and outer surfaces.
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