Fundamentals Of Structural Analysis:
5th Edition
ISBN: 9781260083330
Author: Leet, Kenneth
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 13, Problem 11P
To determine
Find the reactions at A and B and also find the forces in bars a, b, c, and d.
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The tension member shown in the figure below must resist a service dead load of 60 kips and a service live load of 45 kips. Does the member have
enough strength? The steel is A588: Fy = 50 ksi, F₁ = 70 ksi; and the bolts are 11/8 inches in diameter. Assume that A = An
PL 38 x 72
оо
a. Use LRFD.
Determine the design strength and the factored load. Make a conclusion about the member.
(Express your answers to three significant figures.)
+Pn
Pu
=
=
kips
kips
-Select-
b. Use ASD.
Determine the allowable strength and required strength. Make a conclusion about the member.
(Express your answers to three significant figures.)
Ft Ae
=
P₁ =
-Select-
kips
kips
A single-angle tension member of A36 steel must resist a dead load of 49 kips and a live load of 84 kips. The length of the member is 18 feet, and
it will be connected with a single line of 1-inch-diameter bolts, as shown in the figure below. There will be four or more bolts in this line. For the steel
Fy = 36 ksi and F₁ = 58 ksi. Try the tension members given in the table below.
Tension member
4, (in.)
rz (in.)
7
L6 × 6 ×
9.75
1.17
8
L 5 × 3
×
4.93
0.746
L 5 × 3
×
5
2.56
0.758
16
7
L5 × 3 ×
3.31
0.644
16
Bolt line
a. Select a single-angle tension member to resist the loads. Use LRFD.
A) L 6 × 6 ×
B) L 5 × 3 ×
CL5×3×
D) L 5 × 3 ×
-Select-
5
16
7
16
What is the required gross area?
(Express your answer to three significant figures.)
A₁ =
in.²
What is the required effective area?
(Express your answer to three significant figures.)
A =
in.2
What is the minimum radius of gyration?
(Express your answer to three significant figures.)
"min =
in.
b. Select a single-angle tension member to…
An L6 × 4 × 5/8 tension member of A36 steel is connected to a gusset plate with 1-inch-diameter bolts, as shown in the
figure below. It is subjected to the following service loads: dead load = 40 kips, live load = 100 kips, and wind load
= 45 kips. Use the equation for U: U = 1 −
For A36 steel: Fy = 36 ksi, F = 58 ksi.
x
l
For L6 × 4×5/8: Ag = 5.86 in.², x = 1.03 in.
21/4"
L6 × 4 × 5/8
11/2"
21/2"
11/2"
a. Determine whether this member is adequate using LRFD.
-Select-
What is the design strength for LFRD?
(Express your answer to three significant figures.)
Φι Ρη -
=
kips
Which AISC load combination controls?
-Select-
What is the controlling AISC load combination?
(Express your answer to three significant figures.)
Pu
=
kips
b. Determine whether this member is adequate using ASD.
-Select-
What is the allowable strength for ASD?
(Express your answer to three significant figures.)
Pn
Sit
kips
Which ASD load combination controls?
-Select-
What is the controlling ASD load combination?…
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- A double-angle shape, 2L7 × 4 × 5/8, is used as a tension member. The two angles are connected to a gusset plate with 7/8-inch-diameter bolts through the 7-inch legs, as shown in the figure below. A572 Grade 50 steel is used: Fy Fu = 65 ksi. Suppose that t = 5/8 in. = 50 ksi, For L7 x 4 x 5/8: Ag = 6.5 in.², x = 0.958 in. 21/2" оо 11/2" 2L7 x 4 x t a. Compute the design strength. (Express your answer to three significant figures.) ФЕРП = kips b. Compute the allowable strength. (Express your answer to three significant figures.) 'n Sit = kipsarrow_forwardI really need help on barrow_forwardWU Example 6 For the exterior transverse frame of the flat slab floor shown in figure, and by using the Direct Design Method, find: a. Longitudinal distribution of the total static moment at factored loads. b. Lateral distribution of moment at exterior panel (column and middle strip moments at exterior support) D= 6.5 kN/m² L= 5.0 kN/m² تفكر وکھل flat slap ما لا يوجد bon حامل . 3000 1000 5000 160 + 2000+ +2000+ 5000 2608 300 2000 Drop Panal السعفarrow_forward
- Example 4 For the transverse interior frame (Frame C) of the flat plate floor with edge beams shown in Figure, by using the Direct Design Method, find: 1) Longitudinal distribution of total static moment at factored loads. 2) Lateral distribution of moment at interior panel (column and middle strip moments atnegative and positive moments). 3) Lateral distribution of moment at exterior panel (column and middle strip moments atnegative and positive moments). Plat 5000-5000 5000 -Frame C لا بوجود deen 0009 0009 Slab thickness = 180 mm, d = 150 mm q₁ = 16.0 kN/m² All edge beams = 250x 500 mm All columns = 500x 500 mm 6000arrow_forwards الله + 600 2 Example 5 For the exterior longitudinal frame (Frame B) of the flat plate floor shown in figure, and by using the Direct Design Method, find: a. Longitudinal distribution of the total static moment at factored loads. b. Lateral distribution of moment at exterior panel (column and middle strip moments at exterior support) Slab thickness = 175 mm, d=140 mm qu=14.0 kN/m² All columns = 600x 400 mm 916 *5000*5000*5000* B Sinter line 16400- 6400 -6400-arrow_forwardExample 8 For the longitudinal frame of the flat slab floor shown in figure, and by using the Direct Design Method, find: a. Longitudinal distribution of the total static moment at factored loads. b. Lateral distribution of moment at exterior panel (column and middle strip moments at exterior support) qu 18.0 kN/m² edge beams: 300×600 mm 5000 mm CL Panel 6000 واجب 750 750- 400 099- 5000 mm +2000+ CL Panel 1120 Drop Panal Cobum Cop 250 احول دائري الى توسيع احلة $400mm face to face 6000 mmarrow_forward
- Example 9 For the the transverse exterior frame (Frame D) of the flat plate floor, without edge beams, shown in Figure, and by using the Direct Design Method, find: a. Longitudinal distribution of the total static moment at factored loads. b. Lateral distribution of moment at interior panel (column and middle stripmoments at negative and positive moments). Slab thickness = 180 mm, d = 150 mm qu= 15.0 kN/m², All columns = 400×400 mm 5.0 m- 5.0- 5.0- نصف عرف العمود 6.0 marrow_forwardExample 7 For the transverse frame of the flat slab floor shown in figure, and by using the Direct Design Method, find: a. Longitudinal distribution of the total static moment at factored loads. b. Lateral distribution of moment at exterior panel (column and middle strip moments atexterior support) Flit D = 7.0 kN/m² L = 4.0 kN/m² 3000- 5000 -160 +1000+ 5000 009- 300-1000arrow_forwardDetermine the amount of rebar needed for the spread footing where the dowels extend 24 inches into the column allow for 3 inches of concrete coverarrow_forward
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