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Problem 3

Two wooden member are glued together as shown. Each member has a width of b = 1.50 in. and

a depth of d = 3.50 in. Use ß= 75° and P = 1,300 lb.

a) Determine the internal N and V loads on the angled face labeled with *. Draw a free body

diagram showing these two internal loads as part of your solution.

b) Determine the average shear stress magnitude in the glue joint.

c) Draw a 3D stress element that is aligned with the top, bottom, and left surfaces of the

wooden members. Label all normal and shear stress components on this stress element.

d) Conceptual question: Are the stress magnitudes you determined for the 3D element from

part c equal to those you would expect to find when rotating the 3D element to align one

face with the angled face *? Briefly (1-2 sentences) explain.

P

d

B

*

P

Fig: 1