2. Find the equation for the four linear sections of the moment diagram below.| 25 kips | 25 kips| 25 kipsDEAВ6 ft1 ft 2 ft2 ftM, (Kip-t)453025 5. Use the Gauss Elimination Method to solve the following systems of equations.x+y+z = 62x+5y+z = 15-3x+ y+5z = 14

Answered: 2. Find the equation for the four…

2. Find the equation for the four linear sections of the moment diagram below. | 25 kips | 25 kips | 25 kips C A В 6 ft 1 ft 2 ft 2 ft M, (Kipft) 45 30 25

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

ChapterB: Graphical Analysis Of Planar Trusses

Section: Chapter Questions

Problem 8P

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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

2. Find the equation for the four linear sections of the moment diagram below.
| 25 kips | 25 kips
| 25 kips
D
E
A
В
6 ft
1 ft 2 ft
2 ft
M, (Kip-t)
45
30
25

5. Use the Gauss Elimination Method to solve the following systems of equations.
x+y+z = 6
2x+5y+z = 15
-3x+ y+5z = 14

Expert Solution

Step 1 Solution

Support reactions

$l e t v e r t i v a l r e a c t i o n s a t C a n d B a r e V_{C} & V_{B} \sum_{}^{} F_{y} = 0 V_{C} + V_{B} = 25 + 25 + 25 = 75 \sum_{}^{} M_{B} = 0 - 25 \times 11 + V_{C} \times 10 - 25 \times 8 - 25 \times 2 = 0 V_{C} = 52.5 k i p s a n d V_{B} = 22.5 k i p s$

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