A manufacturer of single-seater racing cars was considering materials and thicknesses of a sandwich panel concept for the chassis. The design case assumed a 600mm wide simply supported panel of the form shown below, subject to a central point load of 1500N. The distance between the supports was 1.20m.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

can you please step by step to understand that I did not get it ?????

A manufacturer of single-seater racing cars was considering materials and
thicknesses of a sandwich panel concept for the chassis. The design case assumed
a 600mm wide simply supported panel of the form shown below, subject to a central
point load of 1500N. The distance between the supports was 1.20m.
D =
8 =
To a reasonable approximation the expression for panel stiffness, D, is:
Estsbd²
2
:
[5.44mm]
✓
1.20m
Material
SMC
Core
1500N
and the mid-span deflection, 8, is given by:
WL³ WLtc
+
48D 4bd² Gc
where:
where:
Some data for candidate materials are shown in the table below.
Young's
Modulus
Es = Young's modulus of skin
ts
= thickness of skin
to = core thickness
b
d = tc + 2.ts/2 = tc+ts
Density
(Mg.m-³)
1.8
0.2
tcd h
= panel width = 600mm
W = 1500N,
Span, L = 1.20m
Shear modulus of core material, Gc= 50MPa
(GPa)
10
i. Calculate the mid-span deflections, of a panel with 40mm core thickness,
constructed with 2.0mm thick sheet moulding compound (SMC) skins.
Transcribed Image Text:A manufacturer of single-seater racing cars was considering materials and thicknesses of a sandwich panel concept for the chassis. The design case assumed a 600mm wide simply supported panel of the form shown below, subject to a central point load of 1500N. The distance between the supports was 1.20m. D = 8 = To a reasonable approximation the expression for panel stiffness, D, is: Estsbd² 2 : [5.44mm] ✓ 1.20m Material SMC Core 1500N and the mid-span deflection, 8, is given by: WL³ WLtc + 48D 4bd² Gc where: where: Some data for candidate materials are shown in the table below. Young's Modulus Es = Young's modulus of skin ts = thickness of skin to = core thickness b d = tc + 2.ts/2 = tc+ts Density (Mg.m-³) 1.8 0.2 tcd h = panel width = 600mm W = 1500N, Span, L = 1.20m Shear modulus of core material, Gc= 50MPa (GPa) 10 i. Calculate the mid-span deflections, of a panel with 40mm core thickness, constructed with 2.0mm thick sheet moulding compound (SMC) skins.
ii. Using the data from part i, calculate the overall mass of a 1.2m long x
0.6m wide sandwich panel made with SMC skins.[10.944kg]
iii. Calculate the maximum bending stress in the skin and the shear stress in
the core for a panel made with SMC skins.
[9.35 MPa and 0.03 MPa, respectively]
The expression for bending stress, σs, is:
Mh
bt d²
=
Os
where M = applied bending moment
h = overall panel thickness
The expression for shear stress, tc, is:
Q
bd
where Q = shear force.
Tc
=
Transcribed Image Text:ii. Using the data from part i, calculate the overall mass of a 1.2m long x 0.6m wide sandwich panel made with SMC skins.[10.944kg] iii. Calculate the maximum bending stress in the skin and the shear stress in the core for a panel made with SMC skins. [9.35 MPa and 0.03 MPa, respectively] The expression for bending stress, σs, is: Mh bt d² = Os where M = applied bending moment h = overall panel thickness The expression for shear stress, tc, is: Q bd where Q = shear force. Tc =
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Design of Power Transmission Elements and Power Transmission Systems
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY