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.

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Chapter3: Transient Heat Conduction
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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 =
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