Category 1
This term describes the internal resistance of a material to an axial load, expressed as force per unit area.
What is stress
The formula for average shear stress is τ=VA, where V is the shear force and A is this.
What is the cross-sectional area?
The formula σ=Mc/I calculates this type of stress in beams.
What is bending stress?
The deflection of a simply supported beam subjected to a point load can be calculated using this approach, which sums individual deflections.
What is the method of superposition?
When an axial load is applied to a member, this quantity measures how much the material stretches or compresses relative to its original length.
What is strain?
This type of force acts parallel to the surface of a bolt, causing shear stress.
What is a shear force?
In the bending stress formula, this variable represents the perpendicular distance from the neutral axis to the outermost fiber.
What is c or y?
This formula, δ=PL/348EI, gives the maximum deflection for a simply supported beam under this type of load.
What is point load at ceneter?
This property of a material, represented by the symbol E, relates stress to strain in the linear elastic region.
What is Young’s modulus or the modulus of elasticity?
A bolt in single shear experiences a force of 10 kN. If the bolt diameter is 12 mm, calculate the average shear stress.
What is τ=88.4 MPa?
A simply supported beam with a concentrated load at midspan will have the maximum bending stress at this location.
What is the midpoint?
The deflection of a cantilever beam under a uniformly distributed load is greatest at this point.
What is the free end?
This equation, δ=PL/AE calculates this measure of deformation in a member under axial load.
What is axial deflection?
A bolt in a double-shear connection will experience this fraction of the shear force compared to a single-shear connection.
What is half the shear force?
For a rectangular beam section, the moment of inertia is given by bh3/12. This parameter describes the beam's resistance to bending.
What is the moment of inertia?
Two beams of identical length and cross-section are subjected to the same load but have different materials. The beam made of this material will experience less deflection.
What is the material with a higher modulus of elasticity?
A steel rod of length 2 m and diameter 20 mm is subjected to an axial force of 50 kN. Assuming E=200 GPa, calculate the axial deflection.
What is δ=1.59 mm
A group of 4 bolts in a single-shear connection resists a total shear force of 18 kips. If the allowable shear stress in the bolts is 14 ksi, determine the minimum required diameter of each bolt.
What is d=0.398 inches (approximately 0.40 inches)?
A beam with a rectangular cross-section (width = 2 inches, height = 8 inches) is subjected to a bending moment of 15 kip-ft. Calculate the maximum bending stress.
What is σ=2.25 ksi?
A simply supported beam with a span of 12 feet carries a uniformly distributed load of 1.5 kips/ft. If E=29,000 ksi and I=300 in^4, calculate the maximum deflection.
What is δ=0.725 inches?