Analysis of Statically Indeterminate Structures by the Force Method

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1. The beam shown in figure carries loads of 20kN, 30kN and 40kN at point C, D and E respectively and produces a deflection of 5mm at point F. To produce a deflection of 6mm, 8mm and 6mm at C, D, and E respectively, load required at F would be _____
The beam shown in figure carries loads of 20kN, 30kN and 40kN at point C, D and E respectively and produces a deflection of 5mm at point F. To produce a deflection of 6mm, 8mm and 6mm at C, D, and E respectively, load required at F would be _____\r\n\r\n


Hint Answer

2. Indeterminate analysis of a anti-symmetrically loaded structure is difficult from that of non symmetric one.
State wher above statement is true or false.


Hint Answer

3. Externally redundant trusses are always internally determinate.


Hint Answer

4. A and C is a pin support while B is roller support.
XL and XR are centroid of uniform loading on beams AB and BC respectively.
IL and IR are given.
LR and LL are length of beams.
AR and AL are areas of beams.
A and C is a pin support while B is roller support.\r\n XL and XR are centroid of uniform loading on beams AB and BC respectively.\r\n IL and IR are given.\r\n LR and LL are length of beams.\r\n AR and AL are areas of beams.\r\n \r\n What will be shape of overall ILD?\r\n

What will be shape of overall ILD?


Hint Answer

5. Calculate P value of member AC for given external redundant truss, considering horizontal reaction of support B as a redundant force.
Calculate P value of member AC for given external redundant truss, considering horizontal reaction of support B as a redundant force.\r\n\r\n


Hint Answer

6. Calculate k value of member AB for given external redundant truss, considering horizontal reaction of support B as a redundant force.
Calculate k value of member AB for given external redundant truss, considering horizontal reaction of support B as a redundant force.\r\n \r\n


Hint Answer

7. According to maxwell’s orem:-


Hint Answer

8. A is a fixed support and B is roller.
AB = 18m.
C is a point at a distance of 6m from point A.
D is a point at a distance of 6m from point B.
Assume E and I to be given.
A is a fixed support and B is roller.\r\n AB = 18m.\r\n C is a point at a distance of 6m from point A.\r\n D is a point at a distance of 6m from point B.\r\n Assume E and I to be given.\r\n \r\n How many redundant forces are re in above structure?\r\n

How many redundant forces are re in above structure?


Hint Answer

9. Numerical accuracy of solution increases if flexibility coefficients with larger values are located:-


Hint Answer

10. Which one following is ILD for bending moment at section C for given fixed beam?
Which one following is ILD for bending moment at section C for given fixed beam?\r\n\r\n


Hint Answer

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Analysis of Statically Indeterminate Structures by the Force Method

The beam shown in figure carries loads of 20kN, 30kN and 40kN at point C, D and E respectively and produces a deflection of 5mm at point F. To produce a deflection of 6mm, 8mm and 6mm at C, D, and E respectively, load required at F would be _____
The beam shown in figure carries loads of 20kN, 30kN and 40kN at point C, D and E respectively and produces a deflection of 5mm at point F. To produce a deflection of 6mm, 8mm and 6mm at C, D, and E respectively, load required at F would be _____\r\n\r\n

;

Indeterminate analysis of a anti-symmetrically loaded structure is difficult from that of non symmetric one.
State wher above statement is true or false.

;

Externally redundant trusses are always internally determinate.

;

A and C is a pin support while B is roller support.
XL and XR are centroid of uniform loading on beams AB and BC respectively.
IL and IR are given.
LR and LL are length of beams.
AR and AL are areas of beams.
A and C is a pin support while B is roller support.\r\n XL and XR are centroid of uniform loading on beams AB and BC respectively.\r\n IL and IR are given.\r\n LR and LL are length of beams.\r\n AR and AL are areas of beams.\r\n \r\n What will be shape of overall ILD?\r\n

What will be shape of overall ILD?

;

Calculate P value of member AC for given external redundant truss, considering horizontal reaction of support B as a redundant force.
Calculate P value of member AC for given external redundant truss, considering horizontal reaction of support B as a redundant force.\r\n\r\n

;

Calculate k value of member AB for given external redundant truss, considering horizontal reaction of support B as a redundant force.
Calculate k value of member AB for given external redundant truss, considering horizontal reaction of support B as a redundant force.\r\n \r\n

;

According to maxwell’s orem:-

;

A is a fixed support and B is roller.
AB = 18m.
C is a point at a distance of 6m from point A.
D is a point at a distance of 6m from point B.
Assume E and I to be given.
A is a fixed support and B is roller.\r\n AB = 18m.\r\n C is a point at a distance of 6m from point A.\r\n D is a point at a distance of 6m from point B.\r\n Assume E and I to be given.\r\n \r\n How many redundant forces are re in above structure?\r\n

How many redundant forces are re in above structure?

;

Numerical accuracy of solution increases if flexibility coefficients with larger values are located:-

;

Which one following is ILD for bending moment at section C for given fixed beam?
Which one following is ILD for bending moment at section C for given fixed beam?\r\n\r\n

;
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