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Practical Problems (Chap 1~ Chap 4)

ME302, Fall 2015

1. The forearm and biceps support the 2-kg load at A.If C can be assumed as a pin support, determine the

resultant 

internal loadings  acting on the crosssection of the bone of the

 

forearm at E . The bicepspulls on the bone along BD .

2. Two wooden members shown, which support a 3.6 kip load, are joined by plywoodsplices fully glued on the surfaces in contact. The ultimate shearing stress in the glue

is 360psi  and the clearance between the members is 1/4 in. Determine the requiredlength L of each splice if a factor of safety of 2.75 is to be achieved.

3. The rectangular plate is deformed into the shapeshown by the dashed lines. Determine the averagenormal strain along diagonal AC, and the averageshear strain at corner A.

4. The wires each have a diameter of 1/2 in., length of 2ft, and are made from 304stainless steel. Determine the magnitude offorce P so that the rigid beam tilts 0.015°.

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5. The thin-walled tube is subjected to an axialforce of 40 kN. If the tube elongates 3 mm and itscircumference decreases 0.09 mm, determine themodulus of elasticity, Poisson’s ratio, and the

shear modulus of the tube’s material. The material

behaves elastically.

6. The steel pipe is filled with concrete and subjected to acompressive force of 80 kN. Determine the average normalstress in the concrete and the steel due to this loading. The pipehas an outer diameter of 80 mm and an inner diameter of 70

mm. Est=200 GPa, Ec=24 GPa.

7. Initially the A-36 bolt shank fits snugly against the rigidcaps E and F on the 6061-T6 aluminum sleeve. If thethread of the bolt shank has a lead of 1 mm, and the nut is

tightened ⁄  of a turn, determine the average normal

stress developed in the bolt shank and the sleeve. Thediameter of bolt shank is d = 60 mm.

8. Example 1.129. Example 3.510. Example 4.911. Problem 4.97