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Previous video: Построение эпюр для двухопорных балок Next video: Закон рычага

0:00

начало

0:35

условие задачи

1:51

назначение сечений

2:28

построение эпюры М

3:59

основные ошибки студентов

7:33

продолжение построенеия эпюры М

8:34

обобщение

10:28

окончание

Закон рычага

Закон рычага

Channel: GetAClass - Физика в опытах и экспериментах

Построение эпюр для двухопорных балок

Построение эпюр для двухопорных балок

Channel: Светлана Капорович

Момент силы

Момент силы

Channel: GetAClass - Физика в опытах и экспериментах

Построение эпюр для рам на опорах

Построение эпюр для рам на опорах

Channel: Светлана Капорович

Расчет составной балки (продолжение)/строительная механика

Расчет составной балки (продолжение)/строительная механика

Channel: Строительная механика с Татьяной

Определение опорных реакций в балках с жестким защемлением / строительная механика

Определение опорных реакций в балках с жестким защемлением / строительная механика

Channel: Строительная механика с Татьяной

Определение перемещений в раме

Определение перемещений в раме

Channel: Светлана Капорович

Весы Роберваля

Весы Роберваля

Channel: GetAClass - Физика в опытах и экспериментах

Построение эпюр для консольных рам

Построение эпюр для консольных рам

Channel: Светлана Капорович

эпюра изгибающих моментов

плечо силы

растянутые волокна

00:00:03

[applause]

00:00:04

[music] [applause]

00:00:09

[music]

00:00:12

hello, dear subscribers and

00:00:14

listeners, we continue to study

00:00:17

structural mechanics with Tatyana, today

00:00:20

I present to your attention a small

00:00:23

problem, but in my opinion quite

00:00:25

interesting, since according to my statistics, the

00:00:28

solution to this problem is

00:00:31

95 percent students make mistakes and

00:00:35

so in front of you is a rigidly pinched frame

00:00:40

on which only one

00:00:42

single force acts for this frame, we

00:00:46

need to build just one diagram of

00:00:48

bending moments for your convenience,

00:00:51

I have specified the dimensions as well as the magnitude of the force,

00:00:57

although it can be solved in general form

00:01:02

since in cantilever frames and beams, by rigid

00:01:05

pinching, it is possible not to determine the value of the

00:01:09

support reactions, and when constructing diagrams of

00:01:13

any and pion moments of transverse forces of

00:01:17

longitudinal forces, we will consider the

00:01:20

equilibrium of that part of the frame that does not

00:01:24

contain pinching, or some

00:01:27

teachers say

00:01:29

we build diagrams from the free end,

00:01:32

now, dear students, I I suggest

00:01:36

you stop the video to

00:01:38

build a diagram yourself and then

00:01:41

check it, that is, compare your

00:01:44

result with mine and at the same time subscribe

00:01:48

to my channel, whoever is not subscribed, I will

00:01:51

build a diagram without determining the values of the

00:01:54

support reactions, so I remind you that in

00:01:58

order to build any diagram we

00:02:01

need to assign

00:02:05

at least two sections to each section; 3 or more sections

00:02:09

will be in those sections where

00:02:12

the load is evenly distributed, but

00:02:15

since we have only one force acting, it

00:02:17

will be enough for us to have two sections on each section, two sections

00:02:19

here, two

00:02:23

sections here and two sections

00:02:26

here, so the moment in the first section the

00:02:32

moment in the first section considering the

00:02:35

left side to the students always say

00:02:38

here there will be 0

00:02:40

moment in the second section 10 multiplied by

00:02:45

3 will be 30 since the force acts from below

00:02:49

I take my favorite ruler the force

00:02:52

acts from below or rather not the ruler but the

00:02:54

spring

00:02:57

is stretched by the lower fibers therefore the

00:02:59

ordinate k here will be below the value of i

00:03:04

will be 30 that is, we multiply by 3 and the pen

00:03:07

here will look like a triangle

00:03:13

then

00:03:16

to build a diagram on this section we

00:03:20

can determine

00:03:23

the value of the moment at this point by considering the equilibrium of

00:03:26

this node, that is, if I

00:03:29

consider the equilibrium of this knot,

00:03:32

then since this moment unfastens the

00:03:35

lower fibers, it means my mother should be

00:03:38

shown to them so that she once this

00:03:40

moment stretches the lower fibers, this

00:03:44

value is 30,

00:03:46

then this value will also be 30 and

00:03:50

this 30 will stretch the right hair,

00:03:55

which is what the students are doing, that’s a lot

00:04:00

enough students, yes, on this

00:04:03

frame I will show this ordinate q draw 30

00:04:07

yes everything is correct but they forget about the equilibrium of the

00:04:11

node and immediately draw this ordinate q30

00:04:15

here here is a fairly

00:04:18

common mistake I want to tell you

00:04:20

and then in this section moment

00:04:25

here they are already the guard here they can already

00:04:28

draw and like this,

00:04:32

some even bring the diagram here, well,

00:04:36

who cares, and then in order to

00:04:39

build the diagram later, they already begin to

00:04:42

build it exactly like this, since here is

00:04:45

the moment here, they can draw

00:04:48

and understanding that in a pinched moment it is not

00:04:52

pain that he

00:04:53

draws a figure like this, but I want to

00:04:57

tell you that this is wrong, now you

00:05:01

will be convinced of this, what else can

00:05:04

students do, some students,

00:05:07

since they have not determined the value of the

00:05:10

support reactions,

00:05:12

yes, here I will show the balance here, here

00:05:16

the moment will be constantly shown, although here

00:05:18

the students are saying again, they can

00:05:21

go through the axis of their diagram, there are a

00:05:26

lot of mistakes, but since

00:05:30

they haven’t determined the moment here, it means they think that the

00:05:33

moment at this point is equal to zero and they

00:05:36

draw a figure like this,

00:05:39

this is again incorrect, what else

00:05:44

can they do? make mistakes,

00:05:46

but for some reason students think that

00:05:50

sometimes here like this and Peru draws

00:05:54

it’s generally a guard, well sometimes students for some reason

00:05:57

think that here

00:06:00

the moment will be different, that is, the moment here here

00:06:04

they draw in the form of a trapezoid,

00:06:06

dear student,

00:06:10

well, they can’t help but maybe

00:06:14

different, it can’t be different at this

00:06:17

point and at this one, because we have this force

00:06:22

parallel to this rod, which means the

00:06:25

moment at this point will be equal to this force,

00:06:28

this one multiplied by this distance,

00:06:30

that is, this distance we have is three meters,

00:06:33

the moment at at this point there will also be this force

00:06:37

and or not actions multiplied by 3 then

00:06:42

here it will be 30 well here they are already on guard

00:06:47

they can draw like this they can

00:06:50

draw like this here it’s all wrong the

00:06:54

most important mistake

00:06:57

students forget about such a concept as

00:07:02

the shoulder of strength

00:07:04

the shoulder of strength is the shortest distance and the

00:07:10

shortest distance is the length of the

00:07:12

perpendicular

00:07:14

from the point at which we determine the

00:07:17

value of the moment to the line of action of the force,

00:07:21

if the line of action of the force passes through the

00:07:24

point,

00:07:26

then the value of the moment at this point is

00:07:30

zero, therefore, taking into account all these

00:07:35

errors, since this is the force of the line of its

00:07:39

action here it is and this is the line, the action is

00:07:43

parallel to this rod, which means here

00:07:46

we will have a constant moment, it will be 30

00:07:52

from the equilibrium of the node, if here it is 30, here we will

00:07:56

look at this internal part, if

00:07:59

here it is 30, then here it will also be 30, but

00:08:03

since this force passes through this

00:08:06

point that means the moment at this point

00:08:09

will always be equal to zero and then the diagram will go

00:08:13

through this zero in a straight line and this is

00:08:20

what the puree is and here is what diagram

00:08:25

my dear listeners you should

00:08:28

get the value here it should

00:08:32

be 20 so dear listeners I

00:08:36

want to summarize the above said

00:08:40

pinching

00:08:42

the moment very rarely happens to be 0, it can

00:08:47

be equal to zero, and if we have the

00:08:53

same frame, but

00:08:57

this force, the line of its action passes

00:09:02

through a point, then the arm of this force will be

00:09:05

0, which means the moment will be equal to zero, and

00:09:09

then the diagram will apparently look like this, it

00:09:12

will be a rectangle and then there will be a

00:09:16

triangle here, or if on such a wound

00:09:21

or on such a frame, the

00:09:25

pinching moment can also be 0 if this

00:09:27

frame is acted upon by not one but several

00:09:30

hearts with different combinations of loads and

00:09:34

force values, we can get a

00:09:36

pinching moment of 0

00:09:39

so please don’t be lazy

00:09:41

determine the pinching moment, well, at least

00:09:45

to draw a conclusion which fibers

00:09:50

are stretching this starting moment and it doesn’t

00:09:53

matter at least which fibers

00:09:57

to stretch, that is, look at

00:09:59

this point, if I add up the sum of the

00:10:02

moments, this force relative to this

00:10:05

point is trying to turn

00:10:08

counterclockwise then the moment of pinching

00:10:11

will be towards to balance and

00:10:15

this moment will stretch the lower

00:10:19

fibers here you go and the moment

00:10:22

the value of this moment here we

00:10:25

multiply ten by 2 we get 20 dear

00:10:28

listeners I have a request for you,

00:10:30

please write how you

00:10:33

or your friends and acquaintances coped with me it will be

00:10:37

very interesting and don’t hesitate

00:10:39

to write on this I will end my

00:10:42

video please subscribe to my

00:10:44

channel comment on my videos thereby

00:10:48

you will help me improve my videos and

00:10:50

also promote my channel good luck to you

00:10:53

all in your tests and exams

00:10:55

be healthy until the next meeting bye

00:10:58

bye

Description:

00:00 - начало 00:35 - условие задачи 01:51 - назначение сечений 02:28 - построение эпюры М 03:59 - основные ошибки студентов 07:33 - продолжение построенеия эпюры М 08:34 - обобщение 10:28 - окончание

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