The strength-to-weight ratio of a structural material is defined as its load-carrying capacity divided by its weight. For materials in tension, use a characteristic tensile stress obtained from a stress-strain curve as a measure of strength. For instance, either the yield stress or the ultimate stress could be used, depending upon the particular application. Thus, the strength-to-weight ratio R S / W for a material in tension is defined as R s / w = σ γ in which a is the characteristic stress and 7 is the weight density. Note that the ratio has units of length. Using the ultimate stress σ U as the strength parameter, calculate the strength-to-weight ratio (in units of meters) for each of the following materials: aluminum alloy 606I-T6, Douglas fir (in bending}, nylon. structural steel ASTM-A57.2, and a titanium alloy. Obtain the material properties from Tables [-1 and 1-3 of Appendix I. When a range of values is given in a table, use the average value.
The strength-to-weight ratio of a structural material is defined as its load-carrying capacity divided by its weight. For materials in tension, use a characteristic tensile stress obtained from a stress-strain curve as a measure of strength. For instance, either the yield stress or the ultimate stress could be used, depending upon the particular application. Thus, the strength-to-weight ratio R S / W for a material in tension is defined as R s / w = σ γ in which a is the characteristic stress and 7 is the weight density. Note that the ratio has units of length. Using the ultimate stress σ U as the strength parameter, calculate the strength-to-weight ratio (in units of meters) for each of the following materials: aluminum alloy 606I-T6, Douglas fir (in bending}, nylon. structural steel ASTM-A57.2, and a titanium alloy. Obtain the material properties from Tables [-1 and 1-3 of Appendix I. When a range of values is given in a table, use the average value.
Solution Summary: The author explains the strength-to-weight ratio for each material. A is brittle and B and C are ductile.
The strength-to-weight ratio of a structural material is defined as its load-carrying capacity divided by its weight. For materials in tension, use a characteristic tensile stress obtained from a stress-strain curve as a measure of strength. For instance, either the yield stress or the ultimate stress could be used, depending upon the particular application. Thus, the strength-to-weight ratio RS/Wfor a material in tension is defined as
R
s
/
w
=
σ
γ
in which a is the characteristic stress and 7 is the weight density. Note that the ratio has units of length. Using the ultimate stress
σ
U
as the strength parameter, calculate the strength-to-weight ratio (in units of meters) for each of the following materials: aluminum alloy 606I-T6, Douglas fir (in bending}, nylon. structural steel ASTM-A57.2, and a titanium alloy. Obtain the material properties from Tables [-1 and 1-3 of Appendix I. When a range of values is given in a table, use the average value.
Consider the parallel springs shown in the accompanying figure. Realizing that the deflection of each spring in parallel is the same and the applied force must equal the sum of forces in individual springs, show that for springs in parallel the equivalent spring constant ke iske = k1 + k2 + k3
Determine the width and thickness of the leaves (in mm) of a leaf spring using the following specifications:
Total load = 140 kN;
Number of springs supporting the load = 4; Maximum number of leaves = 10;
Span of the spring = 1000 mm;
Permissible deflection = 80 mm;
Modulus of elasticity, E = 200 kN/mm2;
and allowable stress in spring material is 600 MPa.
A cylindrical pressure vessel has an inner diameter of 4 ft and a thicknessof 1 2 in. Determine the maximum internal pressure it can sustain so that neither its circumferential nor its longitudinal stress component exceeds 20 ksi. Under the same conditions, what is the maximum internal pressure that a similar-size spherical vessel can sustain?
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