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Structural Analysis

Structural Analysis
The degree of kinematic indeterminacy of a pin-jointed space frame is (where m, r and j have their usual meanings)

3j-r
j-2r
j-3r
2j-r

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Structural Analysis
For stable structures, one of the important properties of flexibility and stiffness matrices is that the elements on the main diagonal (i) Of a stiffness matrix must be positive (ii) Of a stiffness matrix must be negative (iii) Of a flexibility matrix must be positive (iv) Of a flexibility matrix must be negative The correct answer is

(i) and (iii)
(ii) and (iii)
(ii) and (iv)
(i) and (iv)

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Structural Analysis
When a load crosses a through type Pratt truss in the direction left to right, the nature of force in any diagonal member in the left half of the span would

Change from compression to tension
Change from tension to compression
Always be tension
Always be compression

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Structural Analysis
If there are m unknown member forces, r unknown reaction components and j number of joints, then the degree of static indeterminacy of a pin-jointed plane frame is given by

m + r + 2j
m + r – 2j
m – r + 2j
m + r – 3j

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Structural Analysis
Muller Breslau’s principle for obtaining influence lines is applicable to i) trusses ii) statically determinate beams and frames iii) statically indeterminate structures, the material of which is elastic and follows Hooke’s law iv) any statically indeterminate structure The correct answer is

only (i)
(i), (ii) and (iii)
(i), (ii) and (iv)
(i) and (ii)

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Structural Analysis
If in a pin-jointed plane frame (m + r) > 2j, then the frame is (Where ‘m’ is number of members, ‘r’ is reaction components and ‘j’ is number of joints)

Unstable
Stable and statically determinate
Stable and statically indeterminate
None of these

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