THE ANSWER IS B, BUT DONT KNOW WHY. PLEASE SHOW WORK. A 1.00-m-high retaining wa

Question

THE ANSWER IS B, BUT DONT KNOW WHY. PLEASE SHOW WORK.

A 1.00-m-high retaining wall is built out of concrete blocks. Each block weighs 22.2 N and has dimensions of 20.3 cm times 9.20 cm times 5.60 cm. Estimate the minimum volume stress on a block at the very bottom layer of the wall. Assume that the largest surface areas of blocks are facing each other and ignore the thin layer of cement between those faces. A) 2.02 times 10^4 N/m^2 B) 1.90 times 10^4 N/m^2 C) 2.14 times 10^4 N/m^2 D) 3.45 times 10^5 N/m^2 E) None of the above

Explanation / Answer

Number of blocks stacked on the last block=(100-5.6)/5.6=16.86.We can't have 16.86 blocks.therefore number of blocks =16

Weight of 16 blocks=22.2*16=355.2N

Area of block on this weigth is acting=0.203*0.092=0.018676 m^2

Stress=weight/area=355.2/0.018676=1.9*10^4 N/m^2

Option B is correct

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