**27. A retaining wall 1.5 m high is constructed of horizontal wood planks 75 mm thick (actual dimension) that are supported by vertical wood piles of 300 mm diameter (actual dimension), as shown in the figure. The lateral Assuming that the allowable stress in the wood is 8 MPa, calculate the maximum permissible spacing s of the is P = 5 kPa at the top of the wall and p2 = 20 kPa at the bottom. earth pressure Observe that the spacing of the piles may be governed by the load-carrying capacity of either the planks o1 the piles. Consider the piles to act as cantilever beams subjected to a trapezoidal distribution of load, and consider the planks to act as simple beams between the piles. To be on the safe side, assume that the pressure piles. on the bottom plank is uniform and equal to the maximum pressure.) 75 mm P1 = 5 kPa 300 mm diam. 300 mm diam. 75 mm 1.5 m Top view P2 = 20 kPa Side view

Structural Analysis
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**27. A retaining wall 1.5 m high is constructed of horizontal wood planks 75 mm thick (actual dimension) that
are supported by vertical wood piles of 300 mm diameter (actual dimension), as shown in the figure. The lateral
planks or the piles. Consider the piles to act as cantilever beams subjected to a trapezoidal distribution of load,
and consider the planks to act as simple beams between the piles. To be on the safe side, assume that the pressure
Assuming that the allowable stress in the wood is 8 MPa, calculate the maximum permissible spacing s of the
Observe that the spacing of the piles may be governed by the load-carrying capacity of either the
= 20 kPa at the bottom.
earth pressure is p1
= 5 kPa at the top of the wall and p2
piles.
a
on the bottom plank is uniform and equal to the maximum pressure.)
75 mm
P1 = 5 kPa
300 mm
diam.
300 mm
diam.
75 mm
1.5 m
Top view
P2 = 20 kPa
Side view
Transcribed Image Text:**27. A retaining wall 1.5 m high is constructed of horizontal wood planks 75 mm thick (actual dimension) that are supported by vertical wood piles of 300 mm diameter (actual dimension), as shown in the figure. The lateral planks or the piles. Consider the piles to act as cantilever beams subjected to a trapezoidal distribution of load, and consider the planks to act as simple beams between the piles. To be on the safe side, assume that the pressure Assuming that the allowable stress in the wood is 8 MPa, calculate the maximum permissible spacing s of the Observe that the spacing of the piles may be governed by the load-carrying capacity of either the = 20 kPa at the bottom. earth pressure is p1 = 5 kPa at the top of the wall and p2 piles. a on the bottom plank is uniform and equal to the maximum pressure.) 75 mm P1 = 5 kPa 300 mm diam. 300 mm diam. 75 mm 1.5 m Top view P2 = 20 kPa Side view
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