y the method of sections to the analysis of the K-truss depicted in the figure below. stions: Establish whether the truss is statically determinate. Justify your answer mathematically. Determine the reactions at the supports A and K. Apply cuts 1 and 2 to determine the forces in members DE, QE, and OP and state whether these bers are in compression or tension. 1800 lb B A C 1000 lb D I E R O F N 1200 lb Six panels @ 4 ft G S M 2000 lb H T L K 3 ft 1+ O 3 ft oblem 2 ntenna on a testing range, together with its supporting structure, weighs 300lb with a mass center

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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Question
Apply the method of sections to the analysis of the K-truss depicted in the figure below.
Questions:
(a) Establish whether the truss is statically determinate. Justify your answer mathematically.
(b) Determine the reactions at the supports A and K.
(c) Apply cuts 1 and 2 to determine the forces in members DE, QE, and OP and state whether these
members are in compression or tension.
1800 lb
B
A
C
1000 lb
D
|
E
R
O
F
N
1200 lb
Six panels @ 4 ft
G
M
2000 lb
H
T
L
K
DO
3 ft
3 ft
Problem 2
An antenna on a testing range, together with its supporting structure, weighs 300lb with a mass center
at C. Assume that 1/4 of the weight is supported by each of the pins at A and B that connect the
structure to the truss tower. (The other half is carried by the pins on an identical truss behind the one
in the figure.)
Questions:
(a) Establish whether the truss is statically determinate. Justify your answer mathematically.
(b) Compute the horizontal components of the pin reactions at A and B on the truss.
(c) Find the forces in members DF, DG, AH, and AB. Which of these four forces is dependent on the
assumption about "1/4 of the weight"?
Transcribed Image Text:Apply the method of sections to the analysis of the K-truss depicted in the figure below. Questions: (a) Establish whether the truss is statically determinate. Justify your answer mathematically. (b) Determine the reactions at the supports A and K. (c) Apply cuts 1 and 2 to determine the forces in members DE, QE, and OP and state whether these members are in compression or tension. 1800 lb B A C 1000 lb D | E R O F N 1200 lb Six panels @ 4 ft G M 2000 lb H T L K DO 3 ft 3 ft Problem 2 An antenna on a testing range, together with its supporting structure, weighs 300lb with a mass center at C. Assume that 1/4 of the weight is supported by each of the pins at A and B that connect the structure to the truss tower. (The other half is carried by the pins on an identical truss behind the one in the figure.) Questions: (a) Establish whether the truss is statically determinate. Justify your answer mathematically. (b) Compute the horizontal components of the pin reactions at A and B on the truss. (c) Find the forces in members DF, DG, AH, and AB. Which of these four forces is dependent on the assumption about "1/4 of the weight"?
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