In: Civil Engineering

Select double angle tension member to resist a factored load of 100 kips. Member is connected with 2 lines of 3⁄4-inch diameter bolts placed at usual gage distances (see AISC manual specification J3.3). There will be more than 2 bolts in each line. Member is 15’-0” long. Hint: Try an angle with 6 inch legs back to back and an outstanding length of 3 1⁄2 -inches. Choose required thickness. Assume U=0.85 for design.

Ans) Given,

Factored load = 100kips

Diameter of bolts = 3/4"

Yield strength of steel(f_{y}) = 50 ksi

Ultimate strength of steel(f_{u}) = 65 ksi

Since, it is given that number of bolts in a line should be more then 2 so assuming 3 bolt in a line.

Using angle of 6" x 6" x 5/16" having properties as follows:

A = 3.65 in^{2} , weight = 14.9 lb/ft

I =13 in^{4} ,
= 1.616 in

Required tensile strength = 100kips

Strength for 2 angles (double angle) = 2 f_{y} A

= 2 x 50 x 3.65

= 365 kips > 100kips

Here ,assuming stress reduction factor = 0.90

Hence stength = 0.9 x 365

= 328.5 kips > 100kips

Available tensile rupture strength(Pn) ,

Pn = F_{u} x A_{e}

A_{e} = U x An

An = A - 2(D_{b} + 1/18" ) t

Putting values,

An = (2x3.65) - 2(3/4 + 1/8)5/16

= 7.3 - 0.546

= 6.753 in^{2}

Therefore, Ae = 0.85 x 6.753

= 5.74 in^{2}

Hence, Pn = 65 x 5.74

= 373.1 kips

Strength reduction factor() = 0.75,

Hence, Pn = 0.75 x 373.1

= 279.825 kips > 100 kips

Also , we know,

U = 1 - / (n x s) , where n is number of bolts and s is spacing

0.85 = 1 - 1.616/(3 x s)

Therefore, s = 3.6 in

where, n = number of bolts

s = spacing of bolts

Hence, use two 6" x 6" x 5/16" angle section and 3/4" diameter of bolts @ 3.6"

Design a circular column, using approximate methods, for a
factored load of 80 Kips and a
factored moment of 40 Kip-ft. about x and y axes each. The diameter
of column is 18".
Material strengths are fc' = 4Ksi and fy = 60Ksi. Use appropriate
column interaction diagram.

Determine the lightest W14 section to carry LRFD factored
compression load of 900 kips and LRFD factored strong axis moment
of 600 foot-kips.

1) Select the lightest section to support a axial load (DL=700
kips y LL= 300 kips). The
element is braced, so LX= 22 ft and LY= 12 ft. The end support
conditions are:
a) (Fixed/pinned) and it is specified to use A572 gr. 60. (verify
slenderness and
local buckling)
b) (Fixed/Fixed) and you must use A-36

Use LRFD and select the lightest C6 channel to be used as a
tension member to resist the following service loads: The service
dead load of 20 kips and service live load of 32 kips. The member
is 12 ft long. The member will be connected by a transverse weld at
the end of the channel only.

A 16-ft long pin-pin column has to support a dead load of 100
kips and a live load of 280 kips. Using column selection tables
from the Steel Manual select columns for the given shapes. All
selections should be structurally safe and least weight.
50-ksi W-section (W10, 12, 14 only)
35-ksi pipe (standard, x-strong, xx-strong)
46-ksi rectangular HSS
46-ksi square HSS
42-ksi round HSS

A 16-ft long pin-pin column has to support a dead load of 100
kips and a live load of 280 kips. Using column selection tables
from the Steel Manual select columns for the given shapes. All
selections should be structurally safe and least weight.
50-ksi W-section (W10, 12, 14 only)
35-ksi pipe (standard, x-strong, xx-strong)
46-ksi rectangular HSS
46-ksi square HSS
42-ksi round HSS

Select the lightest W14 section to carry an axial compression of
P = 100 kips dead load, and 140 kips live load; along with a strong
axis bending moment of 125 kip-ft dead load and 325 kip-ft live
load. Assume the moment acts along the entire 15 foot length of the
member, and the ends are pin-pin connections.

A 100 ohms load is connected to a 50 ohms transmission line.
Determine the value of the reactance to put in series at the input
to the line and the length in wavelengths of the shortest
transmission line to match with a 50 ohms source.

2. Design an all-bolted double-angle connection for a W24x146
A992 beam to carry a dead load reaction of 25 kips and a live load
reaction of 75 kips. Use 5/16 in. angles and ¾ in A325N bolts in
standard holes. The uncoped beam is connected to the flange of a
W14x132 column. Design by both LRFD and ASD method.

8.
A 100 W load is connected to a 50 W transmission line. Determine
the value of the reactance to put in series at the input to the
line and the length in wavelengths of the shortest transmision line
to match with a 50 W source.

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