Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > If B = 5, R = 3 and J = 4, then the truss is:...
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If B = 5, R = 3 and J = 4, then the truss is:-
- a)Statically determinate
- b)Statically indeterminate
- c)Stable
- d)Unstable
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If B = 5, R = 3 and J = 4, then the truss is:-a)Statically determinate...
Answer: a
Explanation: B + R = 8 = 2*J. So, truss is statically determinate. Without further insight, we can’t predict stability.
Explanation: B + R = 8 = 2*J. So, truss is statically determinate. Without further insight, we can’t predict stability.
Most Upvoted Answer
If B = 5, R = 3 and J = 4, then the truss is:-a)Statically determinate...
Statically Determinate Structures:
A statically determinate structure is one in which the support reactions and internal forces can be determined using the equations of static equilibrium alone, without the need for compatibility conditions.
Given Information:
B = 5 (number of external reactions at supports)
R = 3 (number of support reactions)
J = 4 (number of joints)
Analysis:
To determine if the truss is statically determinate, we can use the formula:
D = 2J - B - R
Here, D represents the degree of static indeterminacy. If D is equal to zero, the truss is statically determinate.
Calculation:
Given:
B = 5
R = 3
J = 4
Substituting the given values into the formula:
D = 2(4) - 5 - 3
D = 8 - 5 - 3
D = 0
Conclusion:
The degree of static indeterminacy (D) is zero, which means the truss is statically determinate. All the external reactions and internal forces in the truss can be calculated using the equations of static equilibrium alone. Therefore, the correct answer is option 'A' - Statically determinate.
A statically determinate structure is one in which the support reactions and internal forces can be determined using the equations of static equilibrium alone, without the need for compatibility conditions.
Given Information:
B = 5 (number of external reactions at supports)
R = 3 (number of support reactions)
J = 4 (number of joints)
Analysis:
To determine if the truss is statically determinate, we can use the formula:
D = 2J - B - R
Here, D represents the degree of static indeterminacy. If D is equal to zero, the truss is statically determinate.
Calculation:
Given:
B = 5
R = 3
J = 4
Substituting the given values into the formula:
D = 2(4) - 5 - 3
D = 8 - 5 - 3
D = 0
Conclusion:
The degree of static indeterminacy (D) is zero, which means the truss is statically determinate. All the external reactions and internal forces in the truss can be calculated using the equations of static equilibrium alone. Therefore, the correct answer is option 'A' - Statically determinate.
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