A steel elevator cable supports a load of 900 kg. The cable has a diameter of 2 cm and an initial length of 24 m. Find the stress and the strain of the cable and the amount it stretches under the load.

Answers

Answer 1

The stress and the strain of the cable and the amount it stretches under the load.

What is stress?

Stress is a natural response to life events that causes physical, emotional, and mental strain. It is the body’s way of responding to any kind of demand or threat. When a person experiences stress, their body releases hormones such as adrenaline and cortisol in order to help them respond to the challenge. This can cause a range of physical and mental effects, including increased heart rate, increased alertness, and a heightened state of awareness. Stress can be both positive and negative. Positive stress can help people stay focused and motivated, while negative stress can lead to feeling overwhelmed and anxious. It is important to find ways to manage stress in order to maintain physical and mental health. This can include healthy lifestyle habits such as regular exercise, social activities, and relaxation techniques like yoga and meditation. Additionally, talking to friends, family, or a mental health professional can help to reduce the impact of stress.

The stress, σ, in a cable is given by the equation:

σ = F/A

where F is the force the cable is supporting and A is the cross-sectional area of the cable. In this case, the force is 900 kg, or 9,000 N, and the cross-sectional area is πr2, where r is the radius of the cable. The radius of a 2 cm diameter cable is 1 cm, so the cross-sectional area is π(0.01)2 = 0.000314 m2.

Therefore, the stress in the cable is 9,000 N/0.000314 m2 = 28,621 N/m2.

The strain, ε, in a cable is given by the equation:

ε = ΔL/L

Where ΔL is the change in the length of the cable and L is the original length. In this case, the original length is 24 m and the amount the cable stretches under the load is ΔL = 900 kg × 9.81 m/s2 × 24 m = 21,216 kg m/s2.

Therefore, the strain in the cable is 21,216 kg m/s2/24 m = 884 kg m/s2.

Finally, the amount the cable stretches under the load is ΔL = 900 kg × 9.81 m/s2 × 24 m = 21,216 kg m/s2.

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Related Questions

As a technician, a simple test to check for excessive engine wear is to take a white paper towel and wipe
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Answers

Crude oil comes in a variety of hues, including filthy yellow, dark brown, and black. It might be a thick substance that resembles oil or tar, or be thin like petrol. Ground crude oil is extracted and processed into a variety of goods, including fuel for use in diesel and petrol vehicles.

What to check for excessive engine wear?

Where an engine experiences the most wear is during starts and short rides. When an engine is cold, the surfaces are under-lubricated, and it takes a few seconds for the oil to fully cover them.

Therefore, As a technician, a quick test to look for excessive engine wear is to rub some oil from a white paper towel onto it. Fuel for use in diesel and petrol vehicles is one of the many products made from ground crude oil after it has been extracted and processed.

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