Worksheetsmos ct 5
Total questions: 15
Worksheet time: 15mins
The deflection curve of a beam under load is called the:
Elastic line
Stress curve
Moment diagram
Neutral axis
The radius of curvature of a bent beam is inversely proportional to:
Moment of inertia
Bending moment
Modulus of elasticity
Deflection
The differential equation of the elastic line of a beam is:
d²y/dx² = M/EI
d²y/dx² = EI/M
· d²y/dx² = M×EI
d³y/dx³ = M/EI
In a beam, the slope at any point is given by:
dy/dx
d²y/dx²
d³y/dx³
None of these
The Macaulay’s method is particularly useful for:
Beams with uniformly distributed loads only
Beams with point loads at various positions
Beams with no load
Cantilever beams only
In the double integration method, the bending moment is expressed as a function of:
Slope
Shear force
Distance along the beam
Radius of curvature
The equation EI d⁴y/dx⁴ = w represents
Shear force equation
Bending moment equation
Differential equation of the elastic curve
Deflection equation for beam under distributed load
The maximum deflection of a simply supported beam carrying a central point load WWW over span LLL is
WL²/48EI
WL³/48EI
WL³/12EI
WL²/8EI
The slope at the supports of a simply supported beam with central point load WWW is:
WL²/16EI
WL²/48EI
WL²/24EI
WL²/12EI
The maximum deflection in a cantilever beam carrying a point load (W) at the free end is:
WL³/3EI
WL²/2EI
WL³/8EI
WL²/6EI
The maximum deflection in a cantilever beam carrying a uniformly distributed load (w) is:
wL⁴/8EI
wL⁴/3EI
wL⁴/8E
wL⁴/EI
In the Moment Area Method, the first theorem states that:
The change in slope equals area of M/EI diagram
Deflection at any point equals slope
Area under bending moment gives total deflection
Tangent passes through centroid of M/EI diagram
According to Mohr’s second theorem, the deflection between two points is equal to:
Moment of area of M/EI diagram
Area under M/EI diagram
Slope at mid-span
Product of slope and span
The assumption made in deriving the bending equation is that
Plane sections remain plane
Beam material is plastic
Curvature is large
Shear strain is maximum
The deflection of a beam is directly proportional to
Load and cube of span
Modulus of elasticity
Moment of inertia
Support reactions
