31.01.2023 Views

Formwork for Concrete Structures by R.L.Peurifoy and G.D- By EasyEngineering.net

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Downloaded From : www.EasyEngineering.net

Forms for Footings 201

Therefore, the maximum spacing of studs will be 12 in. center to center,

or 1 ft.

Determine the maximum spacing of form ties based on the horizontal

concrete pressure where the two panels are joined: the 2 × 4 top

plate of the bottom panel and the bottom plate of the top panel. Thus,

two plates will resist the pressure along this row of form ties. When

the forms are filled with concrete, the depth at this section will be 2 ft

from the top of the form. The maximum pressure from Eq. (3-1) will

be 2 ft × 150 lb per cu ft = 300 lb per sq ft. Consider a horizontal strip

12 in. above and 12 in. below this section. The lateral pressure on the

form will be 2 ft × 300 lb per sq ft = 600 lb per lin ft.

The uniformly distributed load of 600 lb per lin ft is resisted by

2 plates. Check the adequacy of plates for bending, shear and deflection.

The physical properties of 2 × 4 lumber can be obtained from

Table 4-1 as follows:

ww.EasyEngineering.n

Area, A = 2(5.25) = 10.5 in. 2

Section modulus, S = 2(3.06) = 6.12 in. 3

Moment of inertia, I = 2(5.36) = 10.72 in. 4

Referring to Tables 4-3, 4-3a, and 4-4 for 2 × 4 S4S No. 2 grade

Douglas Fir-Larch lumber adjusted for size and short-load duration

the allowable stresses will be:

Bending stress, F b

= C F

× C D

× (reference design value for bending)

= 1.5(1.25)(900 lb per sq in.)

= 1,687 lb per sq in.

Shear stress, F v

= C D

× (reference design value for shear)

= 1.25(180 lb per sq in.)

= 225 lb per sq in.

Modulus of elasticity, E = 1,600,000 lb per sq in.

The allowable span lengths for bending, shear, and deflection in

the double 2 × 4 plates can be calculated as follows:

Bending in the double plates:

Eq. (5-34), l b

= [120F b

S/w] 1/2

= [120(1,687)(6.12)/600] 1/2

= 45.4 in.

Shear in the double plates:

Eq. (5-36), l v

= 192F v

bd/15w + 2d

= 192(225)(10.5)/15(600) + 2(3.5)

= 57.4 in.

Downloaded From : www.EasyEngineering.net

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!