Problem #8 (30 points): The wood joint shown below is composed of two pieces and supports a tensile load of 60 kN. Both pieces have a thickness of 65 mm (into the paper), and the smaller piece has a reduced cross section that is square. 60 kN 0.1 m 0.065 m 60 kN (a) Determine the average shear stress in the smaller piece along plane a-a. (b) Find the maximum normal stress in the smaller piece. (c) Calculate the necessary ultimate tensile strength and shear ultimate strength for this wood in order for the load to be carried with a factor of safety of 2.2. You must include neat and complete FBDs that correspond to your calculations to receive full credit. Put units on your answers.

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 8.2.1P: A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the...
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This is an old practice exam. The answer is Ta-a = 4.615 MPa max = 14.20 MPa Su = 31.24 MPa Sus = 10.15 MPa but why?

Problem #8 (30 points): The wood joint shown below is composed of two pieces and supports a
tensile load of 60 kN. Both pieces have a thickness of 65 mm (into the paper), and the smaller
piece has a reduced cross section that is square.
60 kN
0.1 m
0.065 m
60 kN
(a) Determine the average shear stress in
the smaller piece along plane a-a.
(b) Find the maximum normal stress in the
smaller piece.
(c) Calculate the necessary ultimate tensile
strength and shear ultimate strength for
this wood in order for the load to be
carried with a factor of safety of 2.2.
You must include neat and complete FBDs
that correspond to your calculations to
receive full credit.
Put units on your answers.
Transcribed Image Text:Problem #8 (30 points): The wood joint shown below is composed of two pieces and supports a tensile load of 60 kN. Both pieces have a thickness of 65 mm (into the paper), and the smaller piece has a reduced cross section that is square. 60 kN 0.1 m 0.065 m 60 kN (a) Determine the average shear stress in the smaller piece along plane a-a. (b) Find the maximum normal stress in the smaller piece. (c) Calculate the necessary ultimate tensile strength and shear ultimate strength for this wood in order for the load to be carried with a factor of safety of 2.2. You must include neat and complete FBDs that correspond to your calculations to receive full credit. Put units on your answers.
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