M2 Flashcards
The ratio of stress to strain within the elastic limit.
Modulus of elasticity
A cantilever beam having a uniformly increasing load toward the fixed end _______.
has a reaction equal to the load
A mechanical property of metal that is the degree to which a material may be bent, stretched, or compressed before it ruptures.
Elongation
What is the derivative of the shear
equation?
Load of the beam
The ratio of unit lateral deformation to
unit longitudinal deformation.
Poisson’s ratio
The ability of the material to resist
deformation under stress.
Stiffness
An I-beam is subjected to simple bending, the maximum bending stress occurs:
at the top or bottom of the surface of the beam
What is the shape of the moment
diagram of a simply supported beam with a load at midspan?
Triangle
What is the moment of inertia of a hollow shaft with outside and inside diameters?
𝜋(D⁴ − 𝑑⁴)/64
What is the maximum moment of a beam with uniform load across the length of the span?
wL²/8
What is the maximum deflection of a
cantilever beam with a moment M in the overhanging end?
−𝑀𝐿²/2𝐸𝐼
The moment diagram for a cantilever beam subjected to bending moment at the end of beam will be a/an:
Rectangle
) It is a principle of method that a deflection at any point in bar is equal to sum of deflections caused by each load acting separately.
Method of superposition
The Bifilar suspension method is used to find out:
Moment of Inertia
An increase in breadth, length, and thickness of a steel bar is due to its _______.
Thermal expansion
When SF is zero, the bending moment is:
Maximum
A steel rail is exposed to the sun and the temperature increased by 20 °C. The coefficient of thermal expansion is 0.0000065 in/in/°F and E = 200 GPa; if the rail is free to expand, what is the thermal stress induced?
0 Mpa
The effects of transverse shear load on deflections in beams
typically will be less than __ % of the effects due to bending
moments when the beam’s length-to-depth ratio is >10.
6
Determine the radius of gyration of a horizontal rectangular beam with a cross
-section of b
× h.
ℎ/√12
A/An _ problem cannot be solved for its loads using only equations.
indeterminate beam
A concentrated force can be represented by the __________ function.
Unit impulse
Many objects, such as train tracks and road joints, are specifically designed to allow extra space for________.
Thermal expansion
