Categorize the given plane truss as unstable, statically indeterminate or statically determinate. Find the degree of static indeterminacy in case the given truss is statically indeterminate.

Question

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Answer 1

Question

Chapter 4, Problem 1P

(a)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(a)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Show the conditions for plane truss as follows:

m+r<2j the truss is statically unstablem+r=2j the truss is statically determinatem+r>2j the truss is statically indeterminate} (1)

Here, m is the number of members of the truss, r is the support reactions and j is the number of joints.

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 2+3<2×35<6

Thus, the plane truss is unstable.

(b)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(b)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r=2j 3+3=2×36=6

Thus, the plane truss is statically determinate.

(c)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(c)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=4.

The number of the joints in the plane truss is j=3.

Compare the values of m, r, and j with Equation (1).

m+r=2j 2+4=2×36=6

Thus, the plane truss is statically determinate.

(d)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(d)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=4.

The number of the joints in the plane truss is j=4.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 3+4<2×47<8

Thus, the plane truss is unstable.

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Answer 2

Question

Chapter 4, Problem 1P

(a)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(a)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Show the conditions for plane truss as follows:

m+r<2j the truss is statically unstablem+r=2j the truss is statically determinatem+r>2j the truss is statically indeterminate} (1)

Here, m is the number of members of the truss, r is the support reactions and j is the number of joints.

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 2+3<2×35<6

Thus, the plane truss is unstable.

(b)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(b)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r=2j 3+3=2×36=6

Thus, the plane truss is statically determinate.

(c)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(c)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=4.

The number of the joints in the plane truss is j=3.

Compare the values of m, r, and j with Equation (1).

m+r=2j 2+4=2×36=6

Thus, the plane truss is statically determinate.

(d)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(d)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=4.

The number of the joints in the plane truss is j=4.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 3+4<2×47<8

Thus, the plane truss is unstable.

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Answer 3

Question

Chapter 4, Problem 1P

(a)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(a)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Show the conditions for plane truss as follows:

m+r<2j the truss is statically unstablem+r=2j the truss is statically determinatem+r>2j the truss is statically indeterminate} (1)

Here, m is the number of members of the truss, r is the support reactions and j is the number of joints.

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 2+3<2×35<6

Thus, the plane truss is unstable.

(b)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(b)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r=2j 3+3=2×36=6

Thus, the plane truss is statically determinate.

(c)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(c)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=4.

The number of the joints in the plane truss is j=3.

Compare the values of m, r, and j with Equation (1).

m+r=2j 2+4=2×36=6

Thus, the plane truss is statically determinate.

(d)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(d)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=4.

The number of the joints in the plane truss is j=4.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 3+4<2×47<8

Thus, the plane truss is unstable.

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Answer 4

Question

Chapter 4, Problem 1P

(a)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(a)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Show the conditions for plane truss as follows:

m+r<2j the truss is statically unstablem+r=2j the truss is statically determinatem+r>2j the truss is statically indeterminate} (1)

Here, m is the number of members of the truss, r is the support reactions and j is the number of joints.

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 2+3<2×35<6

Thus, the plane truss is unstable.

(b)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(b)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r=2j 3+3=2×36=6

Thus, the plane truss is statically determinate.

(c)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(c)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=4.

The number of the joints in the plane truss is j=3.

Compare the values of m, r, and j with Equation (1).

m+r=2j 2+4=2×36=6

Thus, the plane truss is statically determinate.

(d)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(d)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=4.

The number of the joints in the plane truss is j=4.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 3+4<2×47<8

Thus, the plane truss is unstable.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 4, Problem 1P

(a)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(a)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Show the conditions for plane truss as follows:

m+r<2j the truss is statically unstablem+r=2j the truss is statically determinatem+r>2j the truss is statically indeterminate} (1)

Here, m is the number of members of the truss, r is the support reactions and j is the number of joints.

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 2+3<2×35<6

Thus, the plane truss is unstable.

(b)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(b)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r=2j 3+3=2×36=6

Thus, the plane truss is statically determinate.

(c)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(c)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=4.

The number of the joints in the plane truss is j=3.

Compare the values of m, r, and j with Equation (1).

m+r=2j 2+4=2×36=6

Thus, the plane truss is statically determinate.

(d)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(d)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=4.

The number of the joints in the plane truss is j=4.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 3+4<2×47<8

Thus, the plane truss is unstable.

Answer 6

Chapter 4, Problem 1P

(a)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(a)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Show the conditions for plane truss as follows:

m+r<2j the truss is statically unstablem+r=2j the truss is statically determinatem+r>2j the truss is statically indeterminate} (1)

Here, m is the number of members of the truss, r is the support reactions and j is the number of joints.

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 2+3<2×35<6

Thus, the plane truss is unstable.

Answer 7

Chapter 4, Problem 1P

(a)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

Answer 8

(a)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Show the conditions for plane truss as follows:

m+r<2j the truss is statically unstablem+r=2j the truss is statically determinatem+r>2j the truss is statically indeterminate} (1)

Here, m is the number of members of the truss, r is the support reactions and j is the number of joints.

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 2+3<2×35<6

Thus, the plane truss is unstable.

Answer 13

(b)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(b)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r=2j 3+3=2×36=6

Thus, the plane truss is statically determinate.

Answer 14

(b)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

Answer 15

(b)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=3.

The number of the joints in the plane truss is j=3.

Substitute the values of m, r, and j with Equation (1).

m+r=2j 3+3=2×36=6

Thus, the plane truss is statically determinate.

Answer 20

(c)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(c)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=4.

The number of the joints in the plane truss is j=3.

Compare the values of m, r, and j with Equation (1).

m+r=2j 2+4=2×36=6

Thus, the plane truss is statically determinate.

Answer 21

(c)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

Answer 22

(c)

Expert Solution

Answer to Problem 1P

The given truss is statically determinate.

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=2.

The number of reaction is r=4.

The number of the joints in the plane truss is j=3.

Compare the values of m, r, and j with Equation (1).

m+r=2j 2+4=2×36=6

Thus, the plane truss is statically determinate.

Answer 27

(d)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(d)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=4.

The number of the joints in the plane truss is j=4.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 3+4<2×47<8

Thus, the plane truss is unstable.

Answer 28

(d)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

Answer 29

(d)

Expert Solution

Answer to Problem 1P

The given truss is unstable.

Answer 30

(d)

Expert Solution

Answer 31

(d)

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=3.

The number of reaction is r=4.

The number of the joints in the plane truss is j=4.

Substitute the values of m, r, and j with Equation (1).

m+r<2j 3+4<2×47<8

Thus, the plane truss is unstable.

Answer 34

Ch. 4 - Prob. 1P Ch. 4 - Prob. 2P Ch. 4 - Prob. 3P Ch. 4 - Prob. 4P Ch. 4 - Prob. 5P Ch. 4 - Prob. 6P Ch. 4 - Prob. 7P Ch. 4 - Prob. 8P Ch. 4 - Prob. 9P Ch. 4 - Prob. 10P

Categorize the given plane truss as unstable, statically indeterminate or statically determinate. Find the degree of static indeterminacy in case the given truss is statically indeterminate.

Concept explainers

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

Answer to Problem 1P

Explanation of Solution

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

Answer to Problem 1P

Explanation of Solution

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

Answer to Problem 1P

Explanation of Solution

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

Answer to Problem 1P

Explanation of Solution

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Chapter 4 Solutions