Answered: 200 lb 600 lb 300 lb F E D oco 6 ft A C…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

Determine (approximately) the force in each member of the truss. Assume the diagonals can support either a tensile or compressive force.

200 lb
600 lb
300 lb
F
E
D
oco
6 ft
A
C
B
8 ft
8 ft-
Probs. 7–7/8

Expert Solution

Step 1

$Support reactions : taking sum of moments about A is zero : \sum M_{A} = 0 C_{y} \times 16 - 600 \times 8 - 300 \times 16 = 0 C_{y} = \frac{600 \times 8 + 200 \times 16}{16} C_{y} = 500 lb \sum M_{C} = 0 600 \times 8 + 200 \times 16 - A_{Y} \times 6 = 0 A_{Y} = 1333.33 lb \sum F_{X} = 0 A_{x} = 0$

Step 2

Method of sections:

$\sum F_{y} = 0 A_{y} - 200 - 2 F_{1} \sin (45) = 0 1333 - 200 - 2 F_{1} \sin (45) = 0 F_{1} = 801 l b T h e r e f o r e, F_{B F} = 801 l b (T) F_{A E} = 801 l b (C) \sum M_{A} = 0 F_{E F} \times 8 - 801 \cos (45) \times 8 = 0 F_{E F} = 212.4 l b (C) \sum M_{F} = 0 F_{A B} \times 8 - 801 \cos (45) \times 8 = 0 F_{A B} = 212.4 l b (T)$

Step by step

Solved in 3 steps

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions