Question 2.13: A truck weighing 2500 kgf and moving at a speed of 2.5 m/s h...

Fundamentals of Strength of Materials

A truck weighing 2500 kgf and moving at a speed of 2.5 m/s has to be brought to rest by a buffer. Find how many springs each of the 25 coils will be required to store energy of motion during compression of 20 cm. The spring is made of 25 mm diameter steel rod coiled to a mean diameter of 20 cm. Assume $G=1 \times 10^6 kgf/ cm ^2$ for the spring material.

The "Step-by-Step Explanation" refers to a detailed and sequential breakdown of the solution or reasoning behind the answer. This comprehensive explanation walks through each step of the answer, offering you clarity and understanding.
Our explanations are based on the best information we have, but they may not always be right or fit every situation.

The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

This Question has been Answered.

Already have an account?

Related Answered Questions

Question: 2.14

A close-coiled helical spring has stiffness 900 N/m in compression with a maximum load of 45 N and maximum shear stress of 120 N/mm². The solid length of the spring is 45 mm. Find out wire diameter, mean coil radius and number of coils. Take G = 0.4 × 10^5 N/mm². ...

Verified Answer:

We know deflection (δ ) and stiffness (k ) of the ...

Question: 2.12

A solid shaft is subjected to a maximum torque of 25 kN m. Find a suitable diameter of a solid shaft, if the allowable shear stress and the twist are limited to 80 N/mm² and 1°, respectively for a length of 20 times the diameter of the shaft. ...

Verified Answer:

Let the shaft diameter be d mm. Therefore, maximum...

Question: 2.11

Two shafts of same diameter are used to transmit same power. One shaft is rotating at 1000 rpm whereas the other at 1200 rpm. What will be the nature and magnitude of the stress on the surfaces of the shafts? Will it be same for the two cases or different? Justify your answer. ...

Verified Answer:

Let the diameter of both the shafts be ‘d’ and the...

Question: 2.10

A solid shaft is to transmit 300 kW at 120 rpm. If the shear stress is not to exceed 100 MPa, find the shaft diameter. What percent saving in weight would be obtained if this shaft was replaced by a hollow one whose internal diameter equals 0.6 of the external diameter; the length, material and ...

Verified Answer:

We know that the power transmitted is given by [la...

Question: 2.9

For the power transmission system (as shown in Figure 2.10), power flows from input gear A to the output gear D. If the pitch diameters of the gears B and C are in the ratio 1:2, what is the proper ratio of the shaft diameters d1:d2 if both the shafts have same maximum stress. ...

Verified Answer:

Let P be the power which is being transmitted thro...

Question: 2.8

The solid shaft as shown in Figure 2.9 is made of steel. It has a uniform diameter of 40 mm and it runs at 525 rpm. A driving belt feeds 50 hp to pulley A; whereas 30 hp and 20 hp, respectively, are taken off from the other two pulleys, B and C. Find out the maximum shear stress induced in the ...

Verified Answer:

We know that 1 horse power (hp) = 736 W. Therefore...

Question: 2.7

A hollow shaft transmits 300 kW at 80 rpm. If the shear stress is not to exceed 60 MPa and internal diameter is 0.6 times the external diameter, find out diameters of the shaft. Assume maximum torque is 1.4 times the mean torque. ...

Verified Answer:

The power transmitted is

P=\frac{2 \pi N T...

Question: 2.6

A solid circular shaft transmits 736 kW power at 200 rpm. If the twist in the shaft is not to exceed 1° in a length 15 times the diameter and shear stress is limited to 80 MPa, find out the diameter of the shaft. Take G = 80 GPa. ...

Verified Answer:

The power transmitted is

P=\frac{2 \pi N T...

Question: 2.5

Considering Figure 2.6, find out the maximum shear stress and angle of twist at B where a torque of 4 kN.m is applied as shown. Position AB is solid and made up of aluminium with G = 28 GPa, whereas position BC is hollow and made up of steel with G = 84 GPa. Both ends of the stepped shaft are fixed ...

Verified Answer:

Let the resistive torques developed at the two rig...

Question: 2.4

What should be the length of a 5 mm diameter wire made of aluminium so that it can be twisted through 360° (one complete revolution) of maximum allowable shear stress 42 MPa? Consider G = 27 GPa. ...

Verified Answer:

We know shear stress for solid wire is

\ta...