ENGINEERING SCIENCE ASSIGNMENT- 3

BTEC HIGHER NATIONAL DIPLOMA SELVARAJAN PALANIAPPAN

UNIT TITLE | ENGINEERING SCIENCE |

SUB – TITLE | Behavioural Characteristics of elements of static and dynamic engineering systems |

ASSIGNMENT – 3 |

QUESTION 1(OUTCOME1.1, D1)

a) Find the reaction forces at the supports and draw shear force and bending moment

diagrams for the simply supported beam shown in the Figure-1(a)

b) Find reactions of simply supported beam when a point load of 1000kg & 800 kg along with

a uniform distributed load of 200kg /m is acting on it as shown in the Figure-1(b)

Figure – 1 (a)

3 m

2 m 3 m

50 kN 60 kN

Figure – 1 (b)

4 m

2 m 2 m

1000 lb 800 lb

ENGINEERING SCIENCE ASSIGNMENT- 3

BTEC HIGHER NATIONAL DIPLOMA SELVARAJAN PALANIAPPAN

Question – 2 (outcome 1.2, M3, D1)

Select a standard rolled steel I-section for the simply supported beam shown in figure-2. A

factor of safety of 4 is to apply and the ultimate tensile strength of the material is 600 MPa.

The selected section must have the least possible weight. The weight of the beam itself may

neglected when calculating the maximum bending moment.

A B

C

100 KN

Figure – 2

ENGINEERING SCIENCE ASSIGNMENT- 3

BTEC HIGHER NATIONAL DIPLOMA SELVARAJAN PALANIAPPAN

Question – 3 (outcome 1.3, M1, D1)

A solid circular steel shaft, 75 mm diameter and 2m long is subjected to a torque of 900 Nm.

Calculate (a) the maximum shear stress in the shaft, (b) the angle of twist (in degrees). Take the

Modulus of Rigidity as 82.5 GN/m2.

ENGINEERING SCIENCE ASSIGNMENT- 3

BTEC HIGHER NATIONAL DIPLOMA SELVARAJAN PALANIAPPAN

Question – 4 (outcome 2.1, M1, D1)

a) An object starting from rest moves with uniform acceleration of 3m/s2 for 6 sec.

Find its velocity and displacement after 6 seconds.

b) An object is shown straight down with an initial speed of 4m/s from a window

which is 8 m above the ground. Find the time taken by the object to reach the

ground.

c) A body starts from rest and accelerates witha uniform acceleration upto a speed of

10m/s for5 sec. It then travels at 10m/s for 10 sec after which it is retarded to a

speed of 5m/s. If the complete motion takes 25 sec, find :

i. The Acceleration,

ii. The Retardation and

iii. The total distance travelled.

ENGINEERING SCIENCE ASSIGNMENT- 3

BTEC HIGHER NATIONAL DIPLOMA SELVARAJAN PALANIAPPAN

Question (outcome 2.2, D1, D2)

a) If a saturn V rocket with an apollo spacecraft attached has a combined mass of

2.9 ×105 kg and is to reach a speed of 11.2 km/s, how much kinetic energy will it then

have?

b) A 64 kg bicyclist rides his 7.7kg bicycle with a speed of 3.5 m/s. After 120m he

reaches the top of a hill, with slope 1 in 30 measured along the slope. He then free

wheels the 100 m to the bottom of the hill where his speed has increased to 9m/s.

How much energy has he lost on the hill?

ENGINEERING SCIENCE ASSIGNMENT- 3

BTEC HIGHER NATIONAL DIPLOMA SELVARAJAN PALANIAPPAN

Question – 6 (outcome 2.3, D1, D2)

a) A particle having mass 10 g oscillates according to the equation

x = (2.0 cm) sin {(100