Compute the maximum deflection of an 6in by 14in simply supported solid rectangular Hem-fir (S45) beam. The span length is 12ft and the beam is subjected to a uniformly distributed load of 1100 lb/ft. The allowable deflection is /300 of the span length. Is the beam satisfactory? 1100 lb/ft A B 12ft Allowable Stress* (psi) Modulus of Elasticity E (ksi) Species Fe Fe F, Douglas fir 1050 550 625 900 180 1700 Southern pine 1250 410 825 1400 175 1700 Hem-fir 1300 400 500 1000 150 1400 Eastern white pine 725 350 275 600 135 1100 Redwood 1050 650 600 1000 160 1300 A in Wt. Ibt 4, in. S, in. Nominal Size in. Dressed Size in. 6X6 303 840 763 27.7 x8 413 114 190 51.6 x 10 52.3 145 393 82.7 x 11 x 13 X 12 63.3 17.5 121 x 14 74.3 20.6 1130 167 x 16 A5.3 236 1710 220 x 17 x 19 x 18 963 26.7 2400 281 x 20 108 298 3400 7x 74 56.3 156 264 70.3

Compute the maximum deflection of an 6in by 14in simply supported solid rectangular Hem-fir (S45) beam. The span length is 12ft and the beam is subjected to a uniformly distributed load of 1100 lb/ft. The allowable deflection is /300 of the span length. Is the beam satisfactory? 1100 lb/ft A B 12ft Allowable Stress* (psi) Modulus of Elasticity E (ksi) Species Fe Fe F, Douglas fir 1050 550 625 900 180 1700 Southern pine 1250 410 825 1400 175 1700 Hem-fir 1300 400 500 1000 150 1400 Eastern white pine 725 350 275 600 135 1100 Redwood 1050 650 600 1000 160 1300 A in Wt. Ibt 4, in. S, in. Nominal Size in. Dressed Size in. 6X6 303 840 763 27.7 x8 413 114 190 51.6 x 10 52.3 145 393 82.7 x 11 x 13 X 12 63.3 17.5 121 x 14 74.3 20.6 1130 167 x 16 A5.3 236 1710 220 x 17 x 19 x 18 963 26.7 2400 281 x 20 108 298 3400 7x 74 56.3 156 264 70.3

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams and Frames

A beam is a horizontal structure or a member which is always subjected to transverse shear loads.

Question

100%

Compute the maximum deflection of an 6in by 14in simply supported solid rectangular Hem-fir
(S4S) beam. The span length is 12ft and the beam is subjected to a uniformly distributed load of
1100 Ib/ft. The allowable deflection is l/300 of the span length. Is the beam satisfactory?
1100 lb/ft
B
12ft
Allowable Stressa (psi)
Modulus of
Elasticity E
(ksi)
Species
F.
Fo,
Fy
Douglas fir
1050
550
625
900
180
1700
Southern pine
1250
410
825
1400
175
1700
Hem-fir
1300
400
500
1000
150
1400
Eastern white pine
725
350
275
600
135
1100
Redwood
1050
650
600
1000
160
1300
Nominal Size in.
A in.?
I, in."
S, in.3
Dressed Size in.
Wt. Ib/ft
6 x 6
5} x 5
30.3
8.40
76.3
27.7
x 8
x 7
41.3
11.4
193
51.6
x 10
52.3
14.5
393
82.7
x 12
x 11
63.3
17.5
697
121
x 14
x 13.
74.3
20.6
1130
167
x 155
x 17
x 194
x 16
85.3
23.6
1710
220
x 18
96.3
26.7
2460
281
x 20
108
29.8
3400
349
8X 8
7} x 7
56.3
15.6
264
70.3
x 10
x 9
71.3
19.8
536
113
x 12
x 11
86.3
23.9
951
165
x 14
x 13
x 15.
101
28.0
1540
228
x 16
116
32.0
2330
300

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