(a) Given the Howe Truss with loads asshown, determine the external reactionforces at the restraints A & G. (Be sureto show the complete resultant forceswith magnitude and direction.)4.0 kips3.0 kips3.0 kipsD10.0 kips(b) Draw a free body diagram of Joint Aand determine the internal forces inmembers AB and AM.6.0 ftMKH(c)Using a separate section, draw a freebody diagram of the required section anddetermine the internal forces at membersED, EK, and JK. Be sure to label the forces in all internal members as either tension or compression.10 f--3.0 ft -3.0 ft3.0 ft3.0 ft -3.0 f(d) Using the member with the worst loading condition of the forces calculated in the 5 membersfrom (b) and (c) above. With a FS=3, calculate the required cross-section dimensions for arectangular custom ASTM A36 steel member to the nearest 1/16 inch if the height is twice the width.(e) Specify a standard member size (i.e. 2x4, 2x6, 2x8, 2x 10, etc with a FS=4. Calculate the area ofthe std sizes using the planed sizes: ie. 2X4 1.5X3.5ete.) made from D.Fir. Since you round up tothe next higher standard size, what is the FS using this standard member?Sp WeightMod EYield StrengthUltimate Strength(T)15 ksiUltimate Strength(C)8.0 ksiShearD.Fir30 lb/ft^3490 lb/ft^31.9X10^3 ksiN/A1.1 ksiASTM A3630X10^3 ksi36 ksi58 ksi58 ksi21 ksi

Answered: Image /qna-images/answer/eee3c1e4-6c79-4562-bb50-c97db8dc2c83.jpg

(a) Given the Howe Truss with loads as shown, determine the external reaction forces at the restraints A & G. (Be sure to show the complete resultant forces with magnitude and direction.) 4.0 kips 30 kips 3.0 kips 10.0 kips (b) Draw a free body diagram of Joint A and determine the internal forces in members AB and AM. 6.0 ft G M L K (c)Using a separate section, draw a free body diagram of the required section and determine the internal forces at members -3.0 ft 3.0t 3.0ft 3.0 ft 3.0o ED, EK, and JK. Be sure to label the forces in all internal members as either tension or compression.

(a) Given the Howe Truss with loads as shown, determine the external reaction forces at the restraints A & G. (Be sure to show the complete resultant forces with magnitude and direction.) 4.0 kips 30 kips 3.0 kips 10.0 kips (b) Draw a free body diagram of Joint A and determine the internal forces in members AB and AM. 6.0 ft G M L K (c)Using a separate section, draw a free body diagram of the required section and determine the internal forces at members -3.0 ft 3.0t 3.0ft 3.0 ft 3.0o ED, EK, and JK. Be sure to label the forces in all internal members as either tension or compression.

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

Load on Structures

Civil engineers primarily deal with beams in their day-to-day applications. A beam is a structural member that resists shear loadings. There are various types of beams such as cantilever beam, simply supported beam, and over the hanging beam. All these beams have a different end and loading conditions.

Question

(a) Given the Howe Truss with loads as
shown, determine the external reaction
forces at the restraints A & G. (Be sure
to show the complete resultant forces
with magnitude and direction.)
4.0 kips
3.0 kips
3.0 kips
D
10.0 kips
(b) Draw a free body diagram of Joint A
and determine the internal forces in
members AB and AM.
6.0 ft
M
K
H
(c)Using a separate section, draw a free
body diagram of the required section and
determine the internal forces at members
ED, EK, and JK. Be sure to label the forces in all internal members as either tension or compression.
10 f--3.0 ft -3.0 ft
3.0 ft
3.0 ft -3.0 f
(d) Using the member with the worst loading condition of the forces calculated in the 5 members
from (b) and (c) above. With a FS=3, calculate the required cross-section dimensions for a
rectangular custom ASTM A36 steel member to the nearest 1/16 inch if the height is twice the width.
(e) Specify a standard member size (i.e. 2x4, 2x6, 2x8, 2x 10, etc with a FS=4. Calculate the area of
the std sizes using the planed sizes: ie. 2X4 1.5X3.5ete.) made from D.Fir. Since you round up to
the next higher standard size, what is the FS using this standard member?
Sp Weight
Mod E
Yield Strength
Ultimate Strength
(T)
15 ksi
Ultimate Strength
(C)
8.0 ksi
Shear
D.Fir
30 lb/ft^3
490 lb/ft^3
1.9X10^3 ksi
N/A
1.1 ksi
ASTM A36
30X10^3 ksi
36 ksi
58 ksi
58 ksi
21 ksi

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