A marble column with a cross-sectional area of 25.2 cm2 supports a load of 7.0 × 104 N. The marble has a Young’s modulus of 60 GPa and a compressive strength of 200 MPa. A) What is the stress in the column? in Pa B) What is the strain in the column?  C) If the column is 2.00 m high, how much is its length changed by supporting the load?  in m

Q: A 22.0 m long aluminum cable with a cross-sectional area of 2.04 x 10-3 m2 is used to suspend a 4.00…

A: Using the help of Young's modulus we will solve the given question. Given(s): Length of the cable,…

Q: Assume a person's mass is 69.0 kg and each of her shoes has an area of 200 cm². What is the…

A: The force applied on each shoe is F=mg2  =(69×9.8)2  =338.1 N Each shoe has an area, A=200…

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

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: Humans can bite with a force of approximately 791 N. If a human tooth has the Young's modulus of…

A: The change in the tooth's lenght is 7.23×10-6 m.

Q: the maximum compressive load a bone

A: Given: Outside radius is ro=2 cm Inside radius is ri=1.5 cm Maximum stress is σ=153 MPa Note: 1…

Q: A cable used to lift heavy materials like steel I-beams must be strong enough to resist breaking…

A:

Q: Humans can bite with a force of approximately 810 N. If a human tooth has the Young's modulus of…

A: SOlution: as given F = 810 N E = youngs modulus of bone= A = 1.5 cm2 = 1.5x10-4 m2 L = 1.5 cm =…

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by…

A: Given :  scale of the stress axis is set  as s=320 in a unit of 106N/m2 ε=0.0090

Q: A wall climber of mass 85 kg dangles at the end of a rope. The rope has a diameter of 9.6 mm, and is…

A: mass= 85 Kg Length, L= 21 m radius, r= 4.8 mm ∆L= 3.2 cm

Q: A 7-kip · ft torque is applied to a hollow aluminum shaft having the cross section shown. Neglecting…

A: Given data- T=7 kip-ft Radius of outer circle, r0=7 in Radius of inner circle, ri=14 in-4 in-2 in2=4…

Q: A wire of length “Lo” and cross-sectional area S supports a weight W vertically. a) This fine wire…

A: Given dataA wire of length Locross-sectional area Sa weight W vertically. Step 1:From Hooke's Law,…

Q: 10. Young's Modulus for steel is 2.1 x 1011 Pa. A steel cable will break if it is subjected to a…

A: Young's modulus (Y) = 2.1×1011 PaArea (A) = 1.5×10-5 m2Length (L) = 18 m maximum stress = 3000 MPa

Q: The young's modulus of a material whose elastic strain and stress are 0.41 and 355.53 N/m?…

A:

Q: A sphere of copper has a radius of 8.00 cm and is compressed uniformly by a force of 5.00 × 108 N.…

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).