Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

a) Determine the development length, l dh , required for pile A. b) Determine th

ID: 1713998 • Letter: A

Question

a) Determine the development length, ldh, required for pile A.

b) Determine the development length, ldc, rquired for pile B.

c) What is the minimum thickness of pile cap, h, to satisfy these anchorage requirements?

3. DEVELOPMENT LENGTH 10 Points The figure shows a pile cap supported on two 18 inch square piles. The piles are each provided with four #9 dowels with standard 90 degree bends for anchorage into the pile cap. The dowels are not epoxy coated. Because of the large moment applied to the pile cap, Pile A dowels must develop their full yield strength in tension, while Pile B dowels must develop their full yield stress in compression. If the piles are embedded 3 inches into the bottom of the pile cap, and the top and side clear cover to the dowels all exceed 3 inches, answer the following questions. Use Normal Weight Concrete with/C= 5000 psi andG = 60,000 psi. CLEAR COMER 4 #9 Dots o 18 Pile Cross-section

Explanation / Answer

Answer:

The design is base on the reinforcement attain the yield stress,

  the strengthening must be properly bonded to the real for a finite length in order not to slip.

This enough length to anchor bars near the finish of connections is referred to as the growth length, ld.

The expansion length equation according to ACI 318 is obtainable here:

Where: db,

The bar width cb, The bar radius t,

Modifier for strengthening location ,

1.3 For top bars,

1.0 for other bar e,

modifier for epoxy coated bars 1.5 at what time cover < 3db or clear spacing < 6db 1.2 for other epoxy coated reinforce 1.0 for non-epoxy covered reinforcing The reproduction possessions, the, be invented to not go beyond 1.7 s, Modifier projected for bar size 0.8 for #6 and less important 1.0 for #7 and larger l, Modifier for trivial touchable 1.3 for frivolous real 1.0 for other concrete Ktr, slanting growth guide

.According to ACI 318:

Where: Atr = total cross sectional area of all slanting reinforcement which is inside the s

Which crosses the potential plane of splitting through the reinforcement being residential?

fyt = the yield strength of the slanting reinforcing s = maximum C-C spacing of oblique strengthening within the advance length n = number of longitudinal bars being urbanized along the airplane of split.

enlargement Length in worry With the good bar to saloon spacing and enfold, the common growth distance end to end equations are: #6 bars and lesser: or 12 in. smallest amount #7 bars and larger: or 12 in. smallest amount Development Length in density Hook Bends and Extensions The least amount hook length