The legs of a weight lifter must ultimately support the weights he has lifted. A human tibia (shinbone) has a circular cross section of approximately 3.6 cm outer diameter and 2.5 cm inner diameter. (The hollow portion contains marrow. ) if a 90 kg lifter stands on both legs, what is the heaviest weight he can lift without breaking his legs, assuming that the breaking stress of the bone is 200 MPa?

Q: A horizontal aluminum rod 5.0 cm in diameter projects 4.8 cm from a wall. A 1400 kg object is…

A:

Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A: solution as .

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A: a) The required shear stress is,

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A:

Q: A man with a mass of 71.6 kg stands on one foot. His femur has a cross-sectional arca of 8.00 cm2…

A: Given : Mass of man = 71.6 kg Cross-sectional area of femur = 8.00 cm2= 8.00*10-4 m2 Uncompressed…

Q: An anchor made of cast iron of bulk modulus 60.0 × 109 PA and volume of 0.230 m3, is lowered over…

A: Given  Bulk Modulus B=60×109 Pa Change in pressure ∆P=1.75 × 106 Pa. Volume V=0.230 m3

Q: An axial pull of 1.5 kN is acting on a bar of consisting two equal lengths as shown but of diameter…

A:

Q: A bar with a uniform cross-sectional area of 300 mm² is subjected to axial loads, as shown in the…

A: Correct option (b) 140 Mpa

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A:

Q: A horizontal aluminum rod 4.7 cm in diameter projects4.4 cm from a wall. A 1100 kg object is…

A:

Q: The base of a metal block, which is fixed in place, measures 90 cm by 90 cm, and the height of the…

A:

Q: f a compressional stress of 200.0 N is applied to a copper rod having a diameter of .500 cm and a…

A:

Q: a) Figure Q2a shows a hollow tube of rectangular cross-section subjected to an axial compressive…

A: Write the given values with the suitable variables. P=250 kN=250×103 Nb=0.12 md=0.05 mt=0.003 m…

Q: A wire of uniform cross sectional area of 0.45 mm is stretched at both ends by a total force of 7O N…

A: Given: Area of cross section of wire is 0.45 mm2. Force acting on the wire is 70 N. Strain produced…

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: The steel rod with a diameter 15 mm is applied by a load of 15KN due to the load the diameter of the…

A:

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.…

A:

Q: Calculate the strain of a brass rod of length 250 mm which is subjected to a tensile load of 50 kN…

A: Length , L = 250 mm Elongation , ∆L = 0.2 mm Load , F = 50 kN To find = Strain

Q: A 15 cm long animal tendon ( وتر ) was found to stretch 3.7 mm by a force of 13.4 N. The tendon was…

A: Given: length of animal   lo=15 cm =150 mm            force F=13.4 N            Diameter=D =…

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: The maximum upward acceleration of a lift of total mass 2500 kg is 0.5 ms, The lift is supported by…

A: Answer             2.575 X 10-4m2

Q: Two cylindrical rods, one steel (Y = 2.00×10" Pa) and the other copper (Y = 1.10×10" Pa), are joined…

A: SOlution: Given that Steel, Y = 2x1011 Pa copper, Y = 1.1x1011 Pa Steel, L =1.3 m Copper ,L =2.6 m…

Q: A tensile stress is to be applied along the axis of a cylindrical brass rod with diameter of 15 mm.…

A: The lateral strain is, εx=∆dd0     =-3.5×10-215×10-3     =-2.33 The axial strain is, εz=-εxν…

Q: A 26.0 m long steel cable with a cross-sectional area of 2.05 ✕ 10−3 m2 is used to suspend a 3.60 ✕…

A:

Q: Poisson’s ratio for lead is 0.41. What change in volume takes place when a cube of lead of volume…

A: The given values are, σ=0.41V=1.0 dm3=1.0 dm30.1 m1 dm3=1.0×10-3 m3∆LL=2.0%=2.0100=0.02

Q: What is the stress for a wire of 5 m long so that the strain is 2% of 0.2? The cross-sectional area…

A:

Q: The cross-sectional area of each member of the truss is 42 cm². L. B 6m 100 kN 300 kN Determine the…

A:

Q: 2. A 4.0 m long copper wire of cross-sectional area 2 2 cm is stretched by a force of 4.8 x 10° N.…

A:

Q: A weight of (50kg) affects the lower end of a steel rod of length (80cm) and diameter (0.60cm). What…

A: Given: The mass of the weight is 50 kg. The length of the rod is 80 cm. The diameter of the rod is…

Q: The figure shows an approximate plot of stress versus strain for a spider-web thread, out to the…

A: We  have,  stress=forcearea and                strain=change in lengthoriginal lengthHence,  work…

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 steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a…

A:

Q: A steel wire having a radius of 2.0 mm, carrying a load of 4kg, is hanging from a ceiling. Given…

A:

Q: A compressive force of 3.1 × 10ª N is exerted on the end of a 23-cm-long bone of cross-sectional…

A: applied compressive force(F) = 31000 N Cross sectional area of bone = 3.7 cm 2 = 0.00037 m2…

Q: Consider a structure including the horizontal beam AB hinged to the wall at point A and supported by…

A: According to our policies, I can answer only first three subparts of this problem. The detailed…

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…

A:

Q: A 15 cm long animal tendon was found to stretch 3.7 mm by a force of 13.4 N. The tendon was…

A: Given : Lo = 15 cm = 0.15 m ∆L = 3.7 mm = 3.7 x 10-3 m F = 13.4 N  d = 8.5 mm = 8.5 x 10-3 m

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 0.50 m long guitar string, of cross- sectional area 1.0 x10-6 m2, has a Young’s modulus of 2.0x…

A: Given : L = 0.50 m A = 1 × 10-6 m2 Y = 2 × 109 Pa F = 20.0 N

Q: A steel cable of diameter 2 cm is acted upon by 50000 N of tension. If Young’s modulus is 20 x 1010…

A:

Q: 12 mm -75 mm-| |–12 mm 12 mm 75 mm 250 mm D H|-12 mm

A:

Q: The five-bolt connection shown in the figure must support an applied load of P = 270 kN. If the…

A: Stress is defined as the force experienced by the object in unit area which causes change or…

Q: Figure below shows a two-member truss supporting a block of weight W. The cross-sectional areas of…

A: Given that:- Cross sectional area of AB=800mm^2

Q: A steel rectangular block, a = 2.4cm wide and b =1.2 cm deep, is subjected to an axial tensile load…

A: Modulus of elasticity for a volume object is known as Bulk modulus of elasticity.

Q: Two strips of metal are riveted together at their ends by four rivets, each of diameter 8.0 mm. What…

A: Diameter of each rivet,

Q: The figure shows an approximate plot of stress versus strain for a spider-web thread, out to the…

A: Solution:-

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).