Your task is to design a light‐weight tie of length L with a circular cross‐ section of radius R. It must carry an axial force F, without stretching by more than δ. You will  need to choose the material (with Young’s modulus E and density ρ) and the corresponding cross section radius to suit your choice of material, i.e. R is a “free variable”, a) Show that the extension of the tie is given by δ = FL/AE, where A =

Q: A steel cube of side length L = 0.5 m is subjected to a shearing force of 5000 N along the top…

A: Length=0.5m Shear force=5000N Shear constant=8.3×10^10N/m2 Shearing angle=?

Q: We have a rod made of a certain metal. The rod’s length is L = 1.2 m and has a circular cross…

A: Given L = 1.2 m r = 3.2 mm m = 22 kg d = 2.5 mm we have to find out  Young’s modulus for this metal.

Q: Ex. 3: A copper metal cube has each side of length 1m. The bottom edge of cube is fixed and…

A: To find-Lateral displacement (x)=?GIven-Length of each side (L)=1 mTangential force (F)=4.2×108…

Q: a) Sketch a stress-strain diagram for a metal indicating the proportional limit, yield point,…

A:

Q: A tension force of 10 N is applied to a wire of cross-sectional area of 1x10 m², the wire stretched…

A: Given: A tension force, F = 103 N; Cross-sectional area, A =1×10-4 m2; The wire is stretched by 0.2%…

Q: A disk between vertebrae in the spine is subjected to a shearing force of 570 N. Find its shear…

A: The expression for the shear deformation, S=FL0∆xπd24∆x=4FL0πSd2

Q: A 50.0 kg object is hung from the end of a wire of cross-sectional diameter of 1.12 mm. The wire…

A: Given: m=50kg d=1.12mm r=0.56×10-3m l=200cm=200×10-2m=2m ∆l=0.5cm=0.5×10-2m

Q: The elastic portion of the stress-strain diagram for an aluminum alloy is shown in the figure. The…

A:

Q: An arbitrary material has an elastic modulus of 118 GPa. How much tensile force was applied to a 100…

A: Given that: Y=118 GPa=118×109 PaL=100 mmD=10 mmReduction of area= 0.1% of initial areaσ=0.29

Q: A hollow bar with an outer diameter of 25 mm and an inside diameter of 18 mm carries a tensile load…

A: Tensile load = 100kN Outer diameter D1 = 25 mm inner diameter D2= 18 mm

Q: nd trim printed circuit sheets. For the position shown, determine the vertical component of the…

A: Px = 390 sin 13 = 87.73 NPy =390 cos 13 = 380 N(FBD)x =2510034 FBD(FBD)y =9710034FBD

Q: Young's modulus for copper is thousands of times greater than that of rubber. Two meter-sticks have…

A: Young's modulus for copper is greater than that of rubber.  Ycopper > Yrubber   The…

Q: A 16.7 cm long tendon is found to stretch 4.22 mm when a force of 15.8 N is applied to it. If the…

A:

Q: A 8-mm-thick rectangular alloy bar is subjected to a tensile load P by pins at A and B, as shown in…

A:

Q: A wire of uniform cross sectional area of 0.15 mm2 is stretched at both ends by a total force of 40…

A: Given, Area of cross section of the wire A = 0.15 mm2 Total force acting on the both end F = 40 N…

Q: A cart of mass m A sliding with friction on a horizontal rail will be pulled by a suspended mass (of…

A:

Q: on a with respect to the bottom. Calculate the Ex. 11: Tangential force of 10° N is applied surface…

A: To find-Modulus of rigidity (η)=?GIven-Force applied (F)=105NL=10 cm=0.1 mSurface area…

Q: A 1.05-m-long rod of negligible weight is supported at its ends by wires A and B of equal length…

A: This question involves two concepts: (A) Free body diagram and subsequent condition for the static…

Q: 2. A tall building with a cross-section A, a mass M and a Young's modulus Y has a height L on Earth.…

A: The mass of the building is M Area of cross section is A Young's modulus Y Height of the building is…

Q: A rubber band got extended to 15 cm when you apply a force of 10 N. If its original length was 10…

A: Given force F =10N and extended band length is L'  =15cm and original length is L=10cm thickness…

Q: A steel bar with a uniform cross section is fixed at both ends. A load P, = 1.8 kips is applied at…

A: Area= 7.1 inch² Elasticity= 29000 ksi Length of AC= 3 ft or 36 inch Length of BC= 6 ft or 72 inch…

Q: If you bend a rod down, it compresses the lower side of the rod and stretches the top, resulting in…

A: It is given that,

Q: Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T1=2880…

A:

Q: Prob 5.13 A structural steel rod 1 inches in diameter and 25 feet long, in supporting a balcony,…

A: The modulus of elasticity E is given as E=stressstrain=FLA∆LF=tensile forceA=area of cross…

Q: The “lead” in pencils is a graphite composition with a Young’s modulus of about 1×10^9 N/m2.…

A: Young’s modulus (γ) = 1×109 N/m2. Diameter of lead (d) = 0.5 mm. therefore radius = r = 0.25 mm…

Q: A weight of (50kg) affects the lower end of a steel rod of length (80cm) and diameter (0.60cm). What…

A: Given: The mass of the weight is 50 kg. The length of the rod is 80 cm. The diameter of the rod is…

Q: The 100-kg uniform rectangular plate is supported by an ideal pivot at O and a spring which must be…

A:

Q: Biceps muscle. A relaxed biceps muscle requires a force of 25.0 N for an elongation of 3.0 cm; under…

A:

Q: I need help with part B please. Thank you!   In the Challenger Deep of the Marianas Trench, the…

A: Given, Change in volume, ΔV=-5.3×10-2m3 Initial volume of water, V0=1m3 Let the density of water at…

Q: A 15.9 cm long tendon is found to stretch 3.81 mm when a force of 18.0 N is applied to it. If the…

A: The length of the tendon is l = 15.9 cm. The force applied on the tendon is F = 18.0 N. The average…

Q: A copper wire of length 23.179 is designed to withstand a maximum tension of 657 N and 0.627%…

A: Given  Length of copper wire  L = 23.179 m Tension  T = 657 N Strain  ∆L/L × 100 = 0.627 %  ∆L/L =…

Q: A material with a rectangular cross-section of 5 mm by 10 mm is loaded in tension with a force of 16…

A:

Q: A mass of 100 gram is attached to the end of a rubber string 49 cm. long and having an area of cross…

A:

Q: A piece of steel wire, 200.0 cm long and having e cross-sectional area of 0.50 mm2, is stretched by…

A:

Q: 90-kg uniform rectangular plate is supported by an ideal pivot at O and a spring which must be…

A:

Q: The part shown is loaded at point B with 300 lbf in the negative y direction, at point C with 200…

A:

Q: A system requires a metal component with the design specification that it not experience more than…

A: Given data: The stain is ε=0.1%=1×10-3 The range of the stress is σ=0,1000 kPa First, calculate…

Q: Consider a metal bar of length L, cross-sectional area A, and Young's modulus Y. When a tension…

A:

Q: A rigid bar ACB is supported on a fulcrumat C and loaded by a force P at end B (see figure).Three…

A: Given: Yield stress is σγ. Resist load and modulus elasticity are P and E. Cross sectional area and…

Q: A 100-kg mass suspended from a wire whose unstretched length is 4.00 m is found to stretch the wire…

A: Given data: The suspended mass is m=100 kg. The length of wire is L=4 m. The stretch in wire is x=7…

Q: A wire of uniform cross sectional area of 0.45 mm2 is stretched at both ends by a total force of 65…

A:

Q: (a) The “lead” in pencils is a graphite composition with a Young’s modulus of about 1X10 N/m.…

A: formula of young's modulus is as follows; y=FL∆L·A…

Q: If you bend a rod down, it compresses the lower side of the rod and stretches the top, resulting in…

A: The given relation for the restoring force is