A car strikes a rigid post at the centre of its bumper. The car is moving at a speed of v-0.63 m/s and has a mass of m- 1350 kg. The bumper can be considered as a simply supported beam on two spring supports connected to the rigid frame of the car. The bumper is made of a polymer with young's modulus E - 2.5 GPa. The cross-section of the bumper is shown in the figure to the right, with the relevant dimensions (not to scale): h-290 mm d=160 mm t-3.9 mm The spring constant of each spring is k 1.3 MN/m. The spring supports are located 21-1.4 m from each other, (and 1-0.7 m from the point of impact).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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d
A car strikes a rigid post at the centre of its bumper.
1350 kg.
The car is moving at a speed of v-0.63 m/s and has a mass of m
The bumper can be considered as a simply supported beam on two spring supports connected to the rigid frame of the car.
The bumper is made of a polymer with young's modulus E-2.5 GPa.
The cross-section of the bumper is shown in the figure to the right, with the relevant dimensions (not to scale):
h-290 mm
d=160 mm
t-3.9 mm
The spring constant of each spring Is k = 1.3 MN/m.
The spring supports are located 21 1.4 m from each other, (and 1=0.7 m from the point of impact).
Transcribed Image Text:h d A car strikes a rigid post at the centre of its bumper. 1350 kg. The car is moving at a speed of v-0.63 m/s and has a mass of m The bumper can be considered as a simply supported beam on two spring supports connected to the rigid frame of the car. The bumper is made of a polymer with young's modulus E-2.5 GPa. The cross-section of the bumper is shown in the figure to the right, with the relevant dimensions (not to scale): h-290 mm d=160 mm t-3.9 mm The spring constant of each spring Is k = 1.3 MN/m. The spring supports are located 21 1.4 m from each other, (and 1=0.7 m from the point of impact).
a) Calculate the relevant 2nd moment of area of the bumper / in 10. mm².
Results are acceptable within a tolerance of 1 10. mm.
10 mm
b) Calculate the maximum deflection ax in the bumper in mm.
Results are acceptable within a tolerance of 0.1 mm.
Enter a positive value.
I:
mm.
b) Calculate the maximum theoretical stress in the bumper in MPa.
Results are acceptable within a tolerance of 0.1 MPa. Ignore the fact that this stress might be larger than the yield strength of the material.
Enter a positive value, even if is the maximum compressive stress that has the larger absolute value.
max
MPa
Transcribed Image Text:a) Calculate the relevant 2nd moment of area of the bumper / in 10. mm². Results are acceptable within a tolerance of 1 10. mm. 10 mm b) Calculate the maximum deflection ax in the bumper in mm. Results are acceptable within a tolerance of 0.1 mm. Enter a positive value. I: mm. b) Calculate the maximum theoretical stress in the bumper in MPa. Results are acceptable within a tolerance of 0.1 MPa. Ignore the fact that this stress might be larger than the yield strength of the material. Enter a positive value, even if is the maximum compressive stress that has the larger absolute value. max MPa
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