Question

With regard to the method of joints, the following describes the ordered steps involved to arrive at solutions? 1. Replace sloping forces with their vertical and horizontal components. Calculate the reactions for the truss using the free-body diagram for the entire truss. 2. Isolate each joint in sequence as a free body and sketch the free-body diagram showing all forces acting on the joint. Each joint represents a coplanar concurrent force system and can involve no more than two members in which the forces are unknown. 3. By applying the two equations of force equilibrium, the two unknown member forces for each joint may be be determined. These forces are then carried over to successive adjacent joints. In some cases, an alternate force triangle solution may be convenient. 4. Is is a good practice to check the calculations. Select a joint not used in the calculations and verify that the sum of the forces in both the X and Y directions equals zero. 5. After all forces have been determined, draw a force summary diagram. True False

          With regard to the method of joints, the following describes the ordered steps involved to arrive at
solutions?
1. Replace sloping forces with their vertical and horizontal components. Calculate the reactions for
the truss using the free-body diagram for the entire truss. 2. Isolate each joint in sequence as a free
body and sketch the free-body diagram showing all forces acting on the joint. Each joint represents
a coplanar concurrent force system and can involve no more than two members in which the forces
are unknown. 3. By applying the two equations of force equilibrium, the two unknown member
forces for each joint may be be determined. These forces are then carried over to successive
adjacent joints. In some cases, an alternate force triangle solution may be convenient. 4. Is is a
good practice to check the calculations. Select a joint not used in the calculations and verify that
the sum of the forces in both the X and Y directions equals zero. 5. After all forces have been
determined, draw a force summary diagram.
True
False

Show more…

With regard to the method of joints, the following describes the ordered steps involved to arrive at
solutions?
1. Replace sloping forces with their vertical and horizontal components. Calculate the reactions for
the truss using the free-body diagram for the entire truss. 2. Isolate each joint in sequence as a free
body and sketch the free-body diagram showing all forces acting on the joint. Each joint represents
a coplanar concurrent force system and can involve no more than two members in which the forces
are unknown. 3. By applying the two equations of force equilibrium, the two unknown member
forces for each joint may be be determined. These forces are then carried over to successive
adjacent joints. In some cases, an alternate force triangle solution may be convenient. 4. Is is a
good practice to check the calculations. Select a joint not used in the calculations and verify that
the sum of the forces in both the X and Y directions equals zero. 5. After all forces have been
determined, draw a force summary diagram.
True
False

Added by Consuelo C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

05/30/2022

Step 1

Replacing sloping forces with their vertical and horizontal components is a common practice in structural analysis. This is done to simplify the calculations and make it easier to apply the equations of equilibrium. So, this step is True. Show more…

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With regard to the method of joints, the following describes the ordered steps involved to arrive at solutions: 1. Replace sloping forces with their vertical and horizontal components. 2. Calculate the reactions for the truss using the free-body diagram for the entire truss. 3. Isolate each joint in sequence as a free body and sketch the free-body diagram showing all forces acting on the joint. Each joint represents a coplanar concurrent force system and can involve no more than two members in which the forces are unknown. 4. By applying the two equations of force equilibrium, the two unknown member forces for each joint may be determined. These forces are then carried over to successive adjacent joints. In some cases, an alternate force triangle solution may be convenient. 5. It is a good practice to check the calculations. Select a joint not used in the calculations and verify that the sum of the forces in both the X and Y directions equals zero. 6. After all forces have been determined, draw a force summary diagram. True False

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Transcript

00:01 Hi in this question the hard -ed steps to analyze and solve the trust problem using the method of joints are given we need to answer whether the given steps are true or false consider this is this dress simple dress so this is supported by two supports one is the hinged support here and here there is a roller support and it is loaded with a load of p let us say p is acting in the downward direction.

00:28 First of all, let us discuss the procedure to solve the trust problems using method of joints.

00:34 Step 1.

00:35 We must replace the incline forces to the rectangular components, that is the horizontal and vertical components.

00:42 And then we need to find the support reactions.

00:46 This support will have two reactions.

00:48 One will be acting in the vertically upward direction and another will be acting in the horizontal direction.

00:54 Let us say, this is acting towards this direction and this is the joint on this joint this is the vertical reaction let us say r a b and this is r a h horizontal component whereas this this support will have only one reaction which will be acting vertically upward direction okay so here all the forces are acting only horizontal direction and vertical direction whereas this member in this member there will be some force which will be acting in this direction.

01:33 Why? because this member is inclined to x -axis and y -axis.

01:37 Therefore there will be force y -b which will be inclined to x -axis and y -axis.

01:44 This inclined force we need to resolve into two components.

01:48 One will be in the horizontal direction, another will be in the vertical direction.

01:52 That is what in the first step we should do.

01:56 Then we need to find the reactions, that is rah and rav.

02:02 Here rav is acting in the upward direction, rb is also acting in the upward direction, whereas p is acting in the downward direction.

02:10 For equilibrium of condition, rab is equal to rab plus rb is equal to p.

02:17 That is one condition.

02:18 From that, and we can take the moment about this point and determine the value of rab and rp...

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