The ratio of the tensile (or compressive) strength to the density of a material is  a measure of how strong the material is "pound for pound." What is the strength of tendon (tensile strength 79.0 MPa, density 1100 kg/m^3)?        What is the strength of steel (tensil strength 0.570 GPa, density 7700 kg/m^3)? What is the strength of bone (compressive strength 159 MPa, density 1590 kg/m^3)? What is the strength of concrete (compressive strength 0.410 GPa, density 2700 kg/m^3)?

Q: A strand of dragline spider silk has a diameter of 6.0 μm, and can support a mass of 2.9 g.…

A: Required : Approximately how many copper wires would it take tosupport the same mass?

Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

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Q: In Figure 4.1, assume that a 21 mm diameter rivet joins the plates that are each 110 mm wide. The…

A: Diameter=21mm=0.021m Width=110mm=0.110m Bearing stress=110mpa Shear stress=61mpa

Q: 4. A silicon nitride reinforced copper composite contains 30% by volume of fibres. The properties of…

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Q: A metal rod is 4.00m long and has a cross-sectional area of 0.50cm^2. It stretches 0.20cm under a…

A: Given data:  Original Length (L) = 4.00 m Cross section area (A) = 0.50 cm2 = 0.50×10-4 m2 Stretch…

Q: A cylindrical specimen of some metal alloy of 8.5 mm in diameter is stressed elastically in tension.…

A: Given  T = 15700 N. D = 8.5 mm = 0.0085 m ∆D = 5.3*10-3mm

Q: The ratio of the tensile (or compressive) strength to the density of a material is a measure of how…

A: Note: Since there are more than 3 subparts of the question, as per the policy, only the first three…

Q: A copper wire of length 6.1 m, cross sectional area 1.7 7 * 10^-6 * m^2 Young's modulus 11 * 10^10…

A: Given data: Length (L) = 6.1 m Cross-sectional area (A) = 1.77×10-6 m2 Young's modulus (Y) = 11×1010…

Q: A ball has a radius of 1 meter. The Bulk modulus is 4.2 × 1010 N/m2. It is located on the surface of…

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Q: A 2 m long steel rod has a cross-sectional area of 0.3 cm?. The rod is a part of a vertical support…

A: The stress of the rod is given by F/A Strain is given by dL/L                    where F= Force…

Q: The following figures show a steel bars of thickness h = 5 mm. the bars are subjected to a force P.…

A: Given: Figures with thickness, h = 5 mm Shear stress, t = 140MPa

Q: A solid copper cube has an edge length of 89.3 cm. How much stress must be applied to the cube to…

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Q: The modulus of elasticity of a certain steel material is 200 GPa (Giga Pascal). What is the strain…

A: Modulus of elasticity for a material is defined as the ratio of stress to strain in a body. In this…

Q: A cable is 10.0 m long and has a diameter of 2.00 mm. A force of 45.0 N is applied to the end of the…

A: Length of Cable L=10 m Diameter of the cable d=2.00mm=2*10-3m Force applied to the End of the cable…

Q: Human bones have a Young's modulus of 1.5 x 1010 Pa. The bone breaks if stress exceeds 1.5 x 10° Pa.…

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Q: A 50-N force is applied to a metal rod with a length of 10 m and a cross- sectional area of 1.0 x…

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Q: 2. A human biceps(upper arm muscle) may exert a force of the order of 600N (about 135 Ib) on the…

A: Tensile stress is defined as the force per unit area produced in the body as a result of an…

Q: When a tension is applied to an aluminum wire it stretches 0.1 m. The initial length of the wire is…

A: The solution can be given as follows :-

Q: A steel rod 250 mm long is subjected to a tensile stress. If its change in length is 1/40 mm, what…

A: Given: Steel rod length, L=250 mm Change in length, ∆L=140 mm Steel Young's Modulus, γ=2×105 N/mm2…

Q: A marble column with a cross-sectional area of (2.70x10^1) cm² supports a load of (5.500x10^4) N.…

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Q: A copper wire of length 5.9 m , cross sectional area 2.6 x 10-6m2and Young’s modulus 11 x 1010 N/m2…

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Q: A lift of mass 1050 kg is suspended by a steel cable. The lift can move upwards at a maximum…

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Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

A: Length , L = 4 m Cross sectional area , A = 9.3 x 10-3 m2  Load , F = 7.5 x 104 N Young's modulus ,…

Q: The figure shows an approximate plot of stress (10° N/m2) versus strain for a thread that will break…

A: Stress versus strain graph is given for a thread. the stress is plotted along y axis and the strain…

Q: Find the modulus of elasticity of a brass rod of cross section 20 mm x 20 mm and length 250 mm…

A: Cross section Area, A = 20x20 mm2                                 A= 400 X 10-6 m2 Length, L = 250…

Q: 1. Rank the following materials based on its rigidity, where 1 is the most rigid and 3 is the least…

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Q: Q4) A force of magnitude F = 62 × 10° N is applied perpendicularly to the steel rod of radius 9.5 mm…

A: Given data The magnitude of the force is F = 62 x 103 N The rod's radius is r = 9.5 mm. The length…

Q: A cable supports a lift that moves up with an upward acceleration of 2 m/s2. Given that the…

A: Given, Upward acceleration,a=2 m/s2 Proportional limit stress,σ=10.1×109N/m2 Area of…

Q: Nylon breaks when the tensile stress within it reaches 1.0 x 10 ’ Pa. Which range below includes the…

A: Given data: The stress in thread is σ=1×109 Pa. The diameter of thread is d=1.00 mm.

Q: A violin string has a radius of 4.1 x 10* m. During tuning, 32.5 cm of the string is placed under a…

A:

Q: The pressure increases by 1.0 x 104 N/m2 for every meter of depth beneath the surface of the ocean.…

A: Given: The increase in pressure is 1.0×104 N/m2 per meter. The bulk modulus of Pyrex is 2.6×1010…

Q: The bulk modulus of a material is 5.62 × 1011 N/m2. What fractional change in volume does a piece of…

A: bulk modulus of a material is 5.62 × 1011 N/m2. What fractional change in volume does a piece of…

Q: A wire has a mass 5.3 g and length 2.50m. A force of 50 N can extend it by 2.3 mm. Determine (a) the…

A: we know that  density = mass/volume 2.7x103=5.3x10-3A x 2.5Area = A = 7.85 x10-7 m2

Q: A solid copper cube has an edge length of 88.3 cm. How much stress must be applied to the cube to…

A: Initial length of edge of cube , l1 = 88.3 cm Final length of edge of cube, l2 = 88 cm Bulk modulus,…

Q: One model of the length LACL of a person's anterior cruciate ligament, or ACL, relates it to the…

A: The linear equation                        Lacl = 0.04606h - (41.29mm)

Q: A cylindrical specimen of a iron with a Young's modulus of 220 GPa has an original length of 220 mm…

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Q: Based on the figure below, calculate the largest bearing stress in MPa between the pin and the…

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Q: A small steel cube (side length 2.54 cm) is being tested by subjecting it to compressive forces of…

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Q: A steel rod 55 cm long has a diameter of 30.0 cm.  The compressive strength (the maximum stress it…

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Q: What is the compressive stress ?/?F/A on a woman's feet, in units of kilopascals (kPa)(kPa) , if the…

A: mass = 66 kg weight = 66 * 9.8  = 646.8 N weight on each foot = 646.8/2  = 323.4 N Area of each shoe…

Q: A cylindrical specimen of some metal alloy of 8 mm in diameter is stressed elastically in tension. A…

A:

Q: A solid copper cube has an edge length of 85.3 cm. Ho w much st The bulk modulus of copper is 1.4x…

A: givenLi=85.3 cmLf=85 cmK=1.4×1011 N/m2

Q: Four metal rods with equal cross-sectional areas were subjected to a tensile test. Given Young's…

A:

Q: A small steel cube (side length 2.54 cm) is being tested by subjecting it to compressive forces of…

A: Given data:  Side length (L) = 2.54 cm = 2.54 × 10-2 m Force (F) = 5.00 MN = 5.00 × 106 N Young's…

Q: When water freezes, it expands by about 9.00%. What would be the pressure increase inside your…

A: Given ∆VV=0.09 Bulk modulus (B)=2.0*109 N/m2 Required ∆P=?

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).