(I) A marble column of cross-sectional area  1.4 m2supports a mass of 25,000 kg. (a) What is the stress within the column?(b) What is the strain?

Q: If the mass of the girder is 3 Mg, determine the tension developed in cables AB, BC, and BD for…

A: Find the tension in the cable AB FAB = 3000 x 9.81 = 29430 N FAB = 29.430 kN   Find the tension in…

Q: What is the difference between tensile strain and volume stress?

A: Step 1Stress is the force applied to unit are to produce a change in shape, volume or length of a…

Q: A nylon rope used by mountaineers elongates under the weight of a 65.0-kg climber. If the rope is…

A: Given , Weight of climber = 65.0 kg             length of rope = 45.0 m             Diameter = 8.00…

Q: The figure shows three boards clamped together. The center board weighs 93.5 N, and the coefficient…

A: The figure shows the force acting on the three boards clamped together.

Q: A tension force of 10 N is applied to a wire of cross-sectional area of 1x10 m², the wire stretched…

A: Given: A tension force, F = 103 N; Cross-sectional area, A =1×10-4 m2; The wire is stretched by 0.2%…

Q: 12-23. If the wide-flange beam is subjected to a shear of V = 30 kN, determine the maximum shear…

A:

Q: A thin rectangular plate is uniformly, deformed, as shown. Determine the shear strain y, at P.…

A: Given values, a = 21in b = 29in c= 0.16in d = 0.28in We have to calculate shear strain for the…

Q: VA tension force of 30 kN was subjected to 2.5 m long pipe which s an inside and outside diameter of…

A: Given Tension force P=30 kN =30×103 N Length of pipe L=2.5 m Inside diameter Di=70mm=0.07 m Outside…

Q: A non-uniform rod of length 1.00 m is hung horizontally, supported by strings on both ends. If the…

A: Length of the rod is L = 1 m  The centre of gravity of the rod is x = 0.200 m

Q: shaft of bone 1.2 m long. If the strain is 1.3x (10) ^(-4) when the leg supports his weight, by how…

A: The amount of length led shortened is   =strain ×length    =1.3×10^(-4)×(1.2m)=1.56×10^(-4) m

Q: A certain rod stretches 0.90 cm when outward forces with magnitude F are applied to each end. The…

A:

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: A  force applied tangentially to the face of a body is called shear stress (F/A). The deformation…

Q: a rod of mass m is hinged to a building at its lower end, while its upper end is held in place by a…

A:

Q: The ratio of stress to strain in the initial linear is ..? * Young's modulus O viscoelasticity O…

A: In initial linear relationship stress of a material is directly proportional to strain. Stress ∝…

Q: The total tensile load of 160kN of a steel is to be stress at the middle portion limited to 150…

A:

Q: When a force is applied to an object, the -6 longitudinal stress is equal to it

A:

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than o= 99260…

A:

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than o= 79104…

A: maximum stress= sigma= 79104 N/m2

Q: A 22.0 m tall hollow aluminum flagpole is equivalent in strength to a solid cylinder of aluminum…

A: The length of the aluminum flagpole, L0=22.0 m The diameter of the aluminum flagpole, D=4.00 cm =…

Q: Why must you bend forward when carrying a heavy load on your back?

A: The formula for the torque is: As a person carries a heavy load on his back and he doesn’t bend…

Q: A square lead slab of side 50 cm and thickness 10 cm is subject to ashearing force (on its narrow…

A: The expression for the shear strain is:

Q: If the curvature of this pole is measured, can the bending stress developed within it be determined?…

A: To determine: The bending stress can be determined, if the curvature of the pole is measured.

Q: a vertical uniform beam of length Lthat is hinged at its lower end.A horizontal force F is applied…

A: Here we use Newton's second law, Along the x-axis, we get as below. Fa-T Cos ϴ - Fh = 0 Now using…

Q: A 15.9 cm long tendon is found to stretch 3.81 mm when a force of 18.0 N is applied to it. If the…

A: The length of the tendon is l = 15.9 cm. The force applied on the tendon is F = 18.0 N. The average…

Q: For safety in climbing, a mountaineer uses a nylon rope that is 50 m long and 1.0 cm in diameter.…

A:

Q: The five-bolt connection must support an applied load of P-4700 lb. If the average shear stress in…

A: Given that - Five bolt connection Applied load(p)= 4700lb Averge shear stress in the bolt must be…

Q: The change in the relative configuration of point within a solid is called strain

A: In the given question we have to discuss about the strain.

Q: A piece of steel wire, 200.0 cm long and having e cross-sectional area of 0.50 mm2, is stretched by…

A:

Q: If a compressive force of 3.6x104 N is exerted on the end of a 22cm long bone of cross-sectional…

A: Write the given values and the modulus of elasticity of the bone. F=3.6×104 NL=22 cm=0.22 mA=3.6…

Q: A thin rectangular plate is uniformly deformed, as shown. Determine the shear strain yy at P. Assume…

A:

Q: Find Young's modulus if the strain equal ( 0.0002 ) and stress equal ( 80 N/mm2) * 0.02 O 0.0 4 0.0…

A: Strain = 0.0002 Stress = 80 Nmm2

Q: a common bar suspended from a certain support has axial load of 10kN. If the bar has a cross section…

A: Given: The bar has an axis load (F) of 10 kN. The area of the cross-section (A) is 20 mm2.…

Q: the ankle joint therefore pushes upward on the bottom of the tibia with the force of 2800 N while…

A:

Q: 10. An object weighing 225 N is supported by a uniform 120 N horizontal beam as shown in the figure.…

A:

Q: If the system below is balanced then the support (S) at the pivot must be equal to the weight of the…

A: Free body diagram of system is as follows:

Q: A 20.0 m tall hollow aluminum flagpole is equivalent in strength to a solid cylinder of aluminum…

A:

Q: A wire of radius 1.4 mm and length 1.0 m is stretched between two poles 1.0 m apart. When a 8.0 kg…

A:

Q: A vertebra is subjected to a sheering force of 500 M. Finel shear defo hmationy taking the rertebra…

A:

Q: a cable has a diameter of 4mm and an original length of 2m.The cable is pulled by a force of…

A:

Q: Show that the true strain rate in extruding a round billet of radius ro as a function of distance x…

A: We have given that- Radius of the billet=r Distance=x True strain=2Vrtanα α=angle of semi dieThe…

Q: has EX. A steel rod 2 m area ofo.3 cum?. The rod is now end from hong a cross-sectional hung by one…

A: Given data: Length of rod is L=2 m. Cross-sectional area is A=0.3 cm2. Weight of machine is W=550…

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).