Two prismatic bars of a by b rectangular cross section are glued as shown in Fig. P1.1....

Calculate the area A of the cross section using relation,

Substitute, for a and for b in relation and calculate the area.

Consider the normal stress for the inclined section.

Determine the angle of inclination from relation,

From the relation for normal stress along plane,

Here, the normal stress is

From the relation of normal stress,

Here, the axial load is P.

Substitute for in relation,

Substitute 700 kPa for, 3750 mm² for A and 50° for in relation and calculate the axial load.

Therefore based on the normal stress for the inclined section, the axial load can be up to.

Consider the shearing stress for the inclined section using relation,

Substitute for in relation and obtain relation for the load.

Substitute 560 kPa for, 3750 mm² for A and 50° for in relation and calculate the axial load.

Based on the shearing stress for the inclined section, the axial load can only be 4.27 kN. This is less than the load allowed based on the normal stress, therefore in this case the shearing stress is the limiting factor.

Therefore the maximum axial load that may be applied is.