21. Assume if the shear stress in steel exceeds about 4.00 x T 10 N/m2, the steel ruptures. Determine the shearing force necessary to (a) shear a steel bolt 1.00 cm in diameter and (b) punch a 1.00-cm-diameter hole in a steel plate 0.500 cm thick.

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1100 kg object is…

A: a) Determine the shear stress of the rod.

Q: A large uniform cylindrical steel rod of density ρ = 7.8 g/cm3 is 2.0 m long and has a diameter of…

A:

Q: A rubber pad for a machine mounting is to carry a load of 5 kN and to compress 5 mm under this load.…

A: Since you have asked 2 different questions, I am answering the first question. If you need the…

Q: A road engineer is planning to build an overpass and wants to support a 2.1 × 10° kg load over a…

A: Given that, Length of the column is L = 5.450 m Diameter of the column is d = 73.60 cm = 0.736 m…

Q: A 45 kg boy whose leg bones are 5 cm² in area and 50 cm long falls through a height of 2 m without…

A:

Q: A disk between vertebrae in the spine is subjected to a shearing force of 570 N. Find its shear…

A: The expression for the shear deformation, S=FL0∆xπd24∆x=4FL0πSd2

Q: Assume that if the shear stress in steel exceeds about 4.00 x 108 N/m2, the steel ruptures.…

A: (a) Write the expression for shearing force to shear a bolt

Q: Assume if the shear stress in steel exceeds about 4.00 x 108 N/m2 the steel ruptures. (a) Determine…

A:

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: If the shear stress exceeds about 4.00 x 108 N/m2, steel ruptures. Determine the shearing force…

A: Given data *The given shear stress is S = 4.00 × 108 N/m2 *The given bolt diameter is d = 1.00 cm =…

Q: Determine the outside diameter of a tube if the stress is limited to 128 MN/m2 and a hollow steel…

A:

Q: Assume that if the shear stress in steel exceeds about 4.00  108 N/m2, the steel ruptures. (a)…

A: Given,  Shearing stress, S=4×108 Nm2 We know, Shearing stress , S=Shearing force(F)/Area(A) So,…

Q: A 45 kg boy whose leg bones are 5 cm? in area and 50 cm long falls through a height of 2 m without…

A: Given data m=45 kg B. S= 0.9×108 N/m2 A= 5cm2  L=50 cm loss in PE = gain energy Stored in leg bones…

Q: A horizontal aluminum rod 3.6 cm in diameter projects 5.6 cm from a wall. A 1000 kg object is…

A: Given:-  A horizontal aluminum rod of diameter d = 3.6 cm = 0.036 m  The distance from the wall is L…

Q: A horizontal aluminum rod 3.9 cm in diameter projects 7.1 cm from a wall. A 1200 kg object is…

A:

Q: 20. Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm.…

A:

Q: What is maximum diameter of brass rod if it has to support a 400N load without exceeding its elastic…

A: Let Y be the stress on the brass rod, F be the load, A be the cross-sectional area, and D be the…

Q: 20. A 20-m long steel wire (cross-section 1.0 cm2, Young's modulus 2.0 x 10I N/m²), is subjected to…

A: Given that Original length of wire L = 20 m Cross section area A = 1 cm2 = 1 X 10-4 m2 Young's…

Q: An unknown block has shear modulus 8.0x 106 N/m 2 is used to stop cars at the end. The shearing…

A:

Q: 1. Calculate the elongation of the cable due to load, if a steel cable of 4cm diameter is used to…

A:

Q: A vertical brass post is 3.75 m long and has a diameter of 25 cm. If the brass post is to support a…

A:

Q: Comic-book superheroes are sometimes able to punch holes through steel walls. (a) If the ultimate…

A:

Q: 1. Assume Young’s modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 1.50…

A: The maximum force is, F=stressArea=stressπd24

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: Assume that if the shear stress in steel exceeds about 4.00 x 108 N/m2, the steel ruptures. (a)…

A:

Q: 4. A 4.0m-long steel wire has a cross-sectional area of 0.050 cm². It's breaking stress has a value…

A: Area=0.050cm² stress has a value of 0.0065 times its Young's Modulus young modulus for steel: 20*…

Q: A 28.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.40…

A: Y=mg/A∆L/L   =mgLA∆L∆L=mgLYA

Q: An open channel carries water with a velocity of 0.605 m/s. If the average bed shear stress is 1…

A: Here as per the given question,  here water with the velocity of = 0.605 m/s  Bed shear stress is 1…

Q: 206. A steel wire 10m long hanging vertically supports a tensile load of 2000N. Neglecting the…

A: The diameter of the wire can be calculated by using the formula  L=EπD2∆L4FD =4FLEπ∆LWhere, A is a…

Q: A 242-N object is hung from the end of a wire of cross-sectional area 0.01 cm2.  The wire stretches…

A:

Q: A 5-m high aluminum cylinder must support a load of 450 kN. If the maximum allowable stress is 0.14…

A: Given data: The height of cylinder is l=5 m. Load supported P=450 kN. Maximum allowable stress is…

Q: A horizontal aluminum rod 3.2 cm in diameter projects 7.6 cm from a wall. A 1100 kg object is…

A:

Q: A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much…

A: Stress is defined as the force applied per unit area and it is given as σ = FA…

Q: TOW TRUCK IS PULLING A CAR OUT OF A DITCH BY MEANS OF STEEL CABLE THAT IS 8.3m LONG AND HAS A RADIUS…

A:

Q: 6. A steel wire is 4.5 m long and 2 mm in a diameter. Given Young's Modulus for steel is 196000 MPa.…

A:

Q: Review: A soild sphere of brass (bulk modulus of 14.0 x 1010N/m2) with a diameter of 3.00m is thrown…

A: Given : B = 14 × 1010 N/m2 d = 3 m  h = 1 km = 1000 m

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

A:

Q: Assume if the shear stress in steel exceeds about 4.00  108 N/m2 the steel ruptures. (a) Determine…

A: The shear stress in steel is, S=4.0×108 N/m2   The diameter of the steel bolt is, D=0.95 cm   The…

Q: A horizontal aluminum rod 3.3 cm in diameter projects 7.2 cm from a wall. A 1000 kg object is…

A:

Q: When water freezes, it expands about 8.65%. What would be the pressure increase inside your…

A: The expansion of the freeze water is, The bulk modulus of the ice is,

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1200 kg object is…

A:

Q: A brass wire which is 4.00 m long and 4.00 mm in diameter hangs from the ceiling. If a mass of 5.00…

A:

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: A plank 2.00 cm thick and 14.7 cm wide is firmly attached to the railing of a ship by clamps so that…

A:

Q: 1) A 0.4M pipe under compressional stress changes length by 0.05 m .What is the strain in the pipe ?…

A: Given : Original length of pipe = 0.4 m             Change in length of pipe = 0.05 m

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).