Showing 101–110 of 111 questions
A frame with 'j' joints, 'm' members, and 'r' reaction components is indeterminate with degree:
A
DI = m + r - 2j
B
DI = m + r - 3j
C
DI = 3m + r - 2j
D
DI = 2m + r - 3j
Correct Answer:
A. DI = m + r - 2j
EXPLANATION
For planar frames: DI = (m + r) - 2j, where 2j accounts for 2 equilibrium equations per joint in 2D.
In matrix method of structural analysis, the stiffness matrix [K] is:
A
Always singular
B
Always non-singular for determinate structures
C
Symmetric and positive definite for stable structures
D
Independent of boundary conditions
Correct Answer:
C. Symmetric and positive definite for stable structures
EXPLANATION
Stiffness matrix [K] is symmetric (reciprocal theorem) and positive definite for stable structures without rigid body movements.
For a two-span continuous beam with equal spans and equal loads, which statement is true?
A
Support moments are equal at both interior supports
B
Reactions at all supports are equal
C
Maximum positive BM occurs at center of each span
D
Shear force diagram is symmetric about center
Correct Answer:
A. Support moments are equal at both interior supports
EXPLANATION
For symmetric loading and equal spans, interior support moments are equal due to symmetry of structure and loading.
In slope deflection method, what does the term 'FEM' represent?
A
Fixed End Moment
B
Flexural End Movement
C
Final Elastic Moment
D
Factored End Moment
Correct Answer:
A. Fixed End Moment
EXPLANATION
FEM (Fixed End Moment) are moments developed in a member if both ends are fixed against rotation.
For a propped cantilever beam, the number of reactions is:
EXPLANATION
Propped cantilever has: fixed end (3 reactions: vertical, horizontal, moment) + prop reaction (1) = 4 total reactions.
The principle of virtual work states that for equilibrium of a structure:
A
External work equals strain energy
B
Sum of virtual work by all forces is zero
C
Kinetic energy equals potential energy
D
Deformation is maximum
Correct Answer:
B. Sum of virtual work by all forces is zero
EXPLANATION
Principle of virtual work: For equilibrium, ΣδW = 0. Sum of virtual work by internal and external forces must be zero.
In influence line diagram, what does the ordinate represent?
A
Actual internal force value
B
Coefficient of influence for unit load
C
Deflection of structure
D
Stress at section
Correct Answer:
B. Coefficient of influence for unit load
EXPLANATION
Ordinate in influence line = coefficient showing magnitude of response at a fixed section per unit moving load.
For a cantilever beam of length L carrying uniformly distributed load w, the maximum bending moment occurs at:
A
Free end
B
Mid-span
C
Fixed end
D
At L/3 from fixed end
Correct Answer:
C. Fixed end
EXPLANATION
For cantilever, maximum BM = wL²/2 occurs at fixed end where slope and deflection are also maximum.
In the method of sections for truss analysis, the section should pass through maximum how many members?
A
2 members
B
3 members
C
4 members
D
5 members
Correct Answer:
B. 3 members
EXPLANATION
Section should pass through maximum 3 members to solve for unknowns using 3 equilibrium equations (ΣFx, ΣFy, ΣM).
What is the degree of static indeterminacy for a fixed beam with one internal hinge?
EXPLANATION
Fixed beam has 3 reaction components. One internal hinge provides 1 additional equation (BM = 0). DI = 3 - 1 = 2
