1.6 Elastic Deformations of a Solid Body

Irodov Problems 1.290 to 1.314.

25problems
43figures
Difficulty2.8avgDifficulty: 0 rated 1, 8 rated 2, 14 rated 3, 3 rated 4, 0 rated 5; mean 2.8.
Uniqueness2.9avgUniqueness: 1 rated 1, 8 rated 2, 8 rated 3, 8 rated 4, 0 rated 5; mean 2.9.

No.	Title	Difficulty	Uniqueness	Methods
1.290	Pressure That Cancels a Heated Stretch	Difficulty 2 of 5	Uniqueness 2 of 5	stress strain · youngs modulus · dimensional analysis
1.291	Curvature Doubles a Sphere's Strength	Difficulty 3 of 5	Uniqueness 4 of 5	stress strain · free body · symmetry
1.292	Where the Spinning Rod Snaps First	Difficulty 3 of 5	Uniqueness 3 of 5	stress strain · circular motion · newton second law
1.293	The Loop That Pulls Itself Apart	Difficulty 3 of 5	Uniqueness 3 of 5	stress strain · circular motion · free body
1.294	The Sag That Cubes the Load	Difficulty 4 of 5	Uniqueness 4 of 5	stress strain · youngs modulus · approximation expansion
1.295	Compression That Tapers to Nothing	Difficulty 3 of 5	Uniqueness 4 of 5	stress strain · youngs modulus · newton second law
1.296	A Rod Spun from One End	Difficulty 2 of 5	Uniqueness 2 of 5	stress strain · circular motion · youngs modulus
1.297	The Squeeze That Still Loses Volume	Difficulty 2 of 5	Uniqueness 2 of 5	stress strain · youngs modulus · dimensional analysis
1.298	A Rod Stretched by Its Own Weight	Difficulty 2 of 5	Uniqueness 2 of 5	stress strain · youngs modulus
1.299	The Ceiling on Poisson's Ratio	Difficulty 3 of 5	Uniqueness 4 of 5	stress strain · youngs modulus · stability analysis · limiting cases
1.300	Bowed by Its Own Weight	Difficulty 3 of 5	Uniqueness 3 of 5	stress strain · youngs modulus · bending
1.301	A Cantilever Under a Couple, Not a Force	Difficulty 3 of 5	Uniqueness 3 of 5	bending · differential equation · youngs modulus
1.302	Two Supports Beat One by Sixteen	Difficulty 3 of 5	Uniqueness 3 of 5	bending · differential equation · symmetry
1.303	Self-Weight Bends a Girder Two Ways	Difficulty 3 of 5	Uniqueness 3 of 5	bending · differential equation · symmetry · dimensional analysis
1.304	The Load That Grows with Radius	Difficulty 4 of 5	Uniqueness 4 of 5	bending · non inertial frame · youngs modulus · differential equation
1.305	One Relation, Two Polar Moments	Difficulty 3 of 5	Uniqueness 2 of 5	torsion · shear modulus · stress strain · approximation expansion
1.306	Twisting a Hollow Steel Tube	Difficulty 2 of 5	Uniqueness 2 of 5	torsion · shear modulus
1.307	How Thick Buys More Power Than Fast	Difficulty 3 of 5	Uniqueness 2 of 5	torsion · shear modulus
1.308	Torque That Spins the Outer Ring	Difficulty 3 of 5	Uniqueness 3 of 5	torque · moment of inertia · rigid body rotation · limiting cases
1.309	Strain Energy Scales with Mass	Difficulty 2 of 5	Uniqueness 1 of 5	stress strain · youngs modulus · elastic energy
1.310	The Same Stretch Hides More Energy	Difficulty 3 of 5	Uniqueness 4 of 5	elastic energy · stress strain · youngs modulus
1.311	The Cost of Curling a Flat Band	Difficulty 4 of 5	Uniqueness 4 of 5	bending · elastic energy · youngs modulus
1.312	The Energy Cost of a Twist	Difficulty 2 of 5	Uniqueness 2 of 5	torsion · shear modulus · elastic energy
1.313	Where Torsional Energy Really Lives	Difficulty 2 of 5	Uniqueness 3 of 5	torsion · shear modulus · elastic energy
1.314	Water Under Pressure Still Stores Energy	Difficulty 3 of 5	Uniqueness 4 of 5	elastic energy · stress strain · hydrostatics