Mechanics of Materials/ Aircraft Structures
Problem Set 1
1.
PROBLEM 1.11
The rigid bar EFG is supported by the truss system shown. Knowing that the member CG is a solid circular rod of 18 mm diameter, determine the normal stress in CG.
2.
PROBLEM 1.2
Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that d1 = 50 mm and d2 = 30 mm, find the average normal stress at the midsection of (a) rod AB, (b) rod BC.
3.
PROBLEM 1.1
Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that the average normal stress must not exceed 175 MPa in rod AB and 150 MPa in rod BC, determine the smallest allowable values of d1 and d2.
4.
PROBLEM 1.5
Two steel plates are to be held together by means of 16-mmdiameter high-strength steel bolts fitting snugly inside cylindrical brass spacers. Knowing that the average normal stress must not exceed 200 MPa in the bolts and 130 MPa in the spacers, determine the outer diameter of the spacers that yields the most economical and safe design.
5.
PROBLEM 1.10
Three forces, each of magnitude P=4 kN, are applied to the mechanism shown. Determine the cross-sectional area of the uniform. portion of rod BE for which the normal stress in that portion is +100 MPa.
6.
PROBLEM 1.9
Knowing that the central portion of the link BD has a uniform. cross-sectional area of 800 mm", determine the magnitude of the load P for which the normal stress in that portion of BD is 50 MPa.
7.
PROBLEM 1.18
Two wooden planks, each 22 mm thick and 160 mm wide, are joined by the glued mortise joint shown. Knowing that the joint will fail when the average shearing stress in the glue reaches 820 kPa, determine the smallest allowable length d of the cuts if the joint is to withstand an axial load of magnitude P= 7.6 kN.
8.
PROBLEM 1.15
When the force P reached 8 kN, the wooden specimen shown failed in shear along the surface indicated by the dashed line. Determine the average shearing stress along that surface at the time of failure.
9.
PROBLEM 1.32
Two wooden members of uniform. rectangular cross section are joined by the simple glued scarf splice shown. Knowing that the maximum allowable shearing stress in the glued splice is 620 kPa. determine (a) the largest load P that can be safely applied, (b) the corresponding tensile stress in the splice.