1. Choose from the following choices the correct answer for the elastic modulus that describes the relationship between stress and strain for the system of interest, which is in italics. (a) Young’s modulus (b) shear modulus (c) bulk modulus (d) none of these choices (i) A block of iron is sliding across a horizontal floor. The friction force between the block and the floor causes the block to deform. (ii) A trapeze artist swings through a circular arc. At the bottom of the swing, the wires supporting the trapeze are longer than when the trapeze artist simply hangs from the trapeze due to the increased tension in them. (iii) A spacecraft carries a steel sphere to a planet on which atmospheric pressure is much higher than on the Earth. The higher pressure causes the radius of the sphere to decrease.

Q: A circular rod of cross-sectional area 2 x 104m² has a tensile force of 80 kN app The stress in the…

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Q: s) The Young's modulus is a property of the material and does not depend on the size or shape of an…

A: The Young's Modulus of a material is a fundamental property of every material that cannot be…

Q: P k a P te

A: Shear stress; is a force that tends to cause material deformation by slippage along a plane or…

Q: equation given below is for the stress-relaxation due to creep. Rearrange this to express the time…

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Q: In regions of the cardiovascular system where there is steady laminar blood flow, the shear stress…

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Q: Problem 2 ( )A 200 Kg load is hung on a wire of length 4 m, and a cross- sectional area A=4 10- m2.…

A: Stress. = Force ÷ area. Force =weight of load= mg = 200kg×9.8m/s2 = 196N Force = 196N Area = 4 ×…

Q: QUESTION 16 The T-beam is made of a nylon. The allowable stress is 24 MPa in tension and 30 MPa in…

A: The area of the top section will be, A1=80×30 ⇒A1=2400 mm2 And the area of the bottom section will…

Q: 10) Assume Young's Modulus for bone is 1.5E10 N/m². The bone breaks if stress greater than 1.5E8 N/…

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Q: A wooden dowel is subjected to a shearing force of 715N on its top cylindrical face. If the dowel…

A: Shearing force F=715 N, diameter of dowel d=3cm (radius r=1.5cm), height of dowel h=11 cm and shear…

Q: Choose from the following choices the correct answer for the elastic modulus that describes the…

A: (i) A block of iron is sliding across a horizontal floor. The friction force between the block…

Q: Human femur bone was subjected to a uniaxial tension test. As a result of a series of experiments,…

A: (a) Elastic modulus, E:  The elastic modulus, also known as Young's modulus, represents the…

Q: For a constant force, a rope breaks due to stress. Which of the following is useful to reduce the…

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Q: Assume if the shear stress in steel exceeds about 4.00 x10 N/m2 the steel ruptures. (a) Determine…

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Q: Is thrée times larger than in steel shaft. QI1) For the section shown aside, if the bending stress…

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Q: answer should be in decimal. (Li

A: Givenm=86 kgL=16 md=7.8 mm=7.8×10-3 m∆L=2.0 cm=2×10-2 m

Q: Mechanical stress is Select one: O a. a change in the relative position of the points of the body,…

A: Mechanical stress is defined as  force per unit area , when a load is applied to the material .…

Q: Determine the strain-stress relations of an isotropic material for a cylindrical coordinate system.

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Q: Learning A disk between vertebrae in the spine is subjected to a shearing force of 675 N. Find its…

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Q: D 14 mm 300 mm| E B - 300 mm 3 mm 3 mm

A: Concept used: Strain is the ratio change in length (increase or decrease) to original length. The…

Q: P4. If the cross section of the femur at section a-a can be approximated as a hollow as shown,…

A: Maximum normal stress = 235.98 lb/in2 = 236 psi Detailed solution is given below: Please UPVOTE sir

Q: A vertebra is subjected to a shearing force of 510 N. Find the shear deformation, taking the…

A: Solution: Given that Shearing force = 510 N vertebra = 3 cm diameter = 4 cm shear modulus = 8x1010…

Q: e stress and Young's modulus. Define the quantity which relates these terms. (b) When measuring…

A: When any material is under tension, the material gets stretched. The forces acting along the axis of…

Q: A disk between vertebrae in the spine is subjected to a shearing force of 475 N. Find its shear…

A: The expression for the shear modulus is,

Q: Problems - Stress, Strain, and Young's Modulus P10-5. Zartan's vine, initially 6 m long, has a…

A: Given, Initially length of the vine, L=6m The Young's modulus, Y=0.1GN/m2Y=0.1×109N/m2 Stress,…

Q: The graph below shows the tensile stress against strain for a glass fibre. stress/10°Pa 100 80 60 40…

A: (a) given graph is between tensile stress vs strain in glass fiber it's a straight line and slope of…

Q: Hooke's Law may also be stated in the same relation as Young's Modulus where "the strain in a solid…

A: Hooke's law is define as that the strain in a solid body is directly proportional to the applied…

Q: Question 7. The following true stress-strain curve for a carbon nanofiber/epoxy with CaCO3…

A: Formula be used  σ=kεnσ is a true stressε is a true straink and n are constant From the graph we get…

Q: After a fall, a 86 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

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Q: A rectangular timber tie 180 mm x 80 mm is reinforced by a bar of aluminium of 25 mm diameter.…

A: A rectangular timber tie 180 mm x 80 mm is reinforced by a bar of aluminium of 25 mm diameter.…

Q: A hammer strikes a metal disk with 150N of force, temporarily making the 25.0mm3 disk lose 0.2mm3 of…

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Q: 1 m wire has a cross sectional area 10-4 m2. The wire is stretched by a load of 50 kg causing it to…

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Q: Express the relationship between stress and strain for non linear elastic material. (Please express…

A: Non-linear elastic material does not have a linear elastic region .i.e they cannot regain their…

Q: stretched by 3.3 cm. For the rope, calculate (a) the strain, (b) the stress, and (c) the Young's…

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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: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 19 m…

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Q: the point that identifies the proportional limit of the material whosee graph of stress as a…

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Q: 3. An aluminum rod is 250 mm long with a diameter of 25 mm before a 165-kN load is applied as shown…

A: Step 1: Step 2: Step 3: Step 4:

Q: tep 1 First option says : The relative amount of deformation of a material, this is called strain…

A: Strength of Material: The Strength of Materials Engineering specialty deals with a material's…

Q: A 557-N force is applied to stretch a cable, 66-m long and has a cross-sectional area of 2.8 mm^2.…

A: Given : Force, F = 557 N Original length of the cable, L = 66 m Cross-sectional area of the cable, A…

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).