Two wooden planks, each 22 mm thick and 160 mm wide, arejoined by the glued mortise joint shown. Knowing that the jointwill fail when the average shearing stress in the glue reaches820 kPa, determine the smallest allowable length d of the cuts ifthe joint is to withstand an axial load of magnitude P 5 7.6 kN.Fig. P1.18

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 of the joint is to withstand an axial load of magnitude P=7.6 kN.

Fig. P1.18

Step by step solution

Step 1 of 3

Given that load

Area of the glued surface=

Given

Total 7 surfaces are glued.

So total area=7A