The aluminum rod ABC (E = 70 GPa), which consists of two cylindrical portions AB and BC, is to be replaced with a cylindrical steel rod DE (E = 200 GPa) of the same overall length. Determine the minimum required diameter d of the steel rod if its vertical deformation is not to exceed the deformation of the aluminum rod under the same load and if the allowable stress in the steel rod is not to exceed 165.5 MPa

Q: For the connection shown, the average shear stress in the 16-mm-diameter bolts must be limited to…

A: Givend=16mmAverage shear stress=260Mpa

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If the…

A: Givenσlim=255MPa =255 N/mm2

Q: The aluminum rod. cylindrical steel rod DE (E = 29×10 psi) of the same overall length. Determine the…

A:

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If F₁ =…

A: Given data: Load acting , F1 = 15 kips   and F2 = 34 kips Normal stress has to be limited to 17 ksi.…

Q: The 10-mm-diameter steel bolt is surrounded by a bronze sleeve. The outer diameter of this sleeve is…

A: Given data: *The diameter of the steel bolt is ds=10 mm. *The outer diameter of the sleeve is db=20…

Q: The beam is supported by a pin at C and by a short link AB. Each pin has a diameter of 26 mm. Assume…

A:

Q: 1. The structure is used to support a distributed load of w = 15 kN/m. The bolts at A, B, and C each…

A:

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If F₁ =…

A: Given:F1=21 kipsF2=33 kipsσallow=29 ksi

Q: C 02: If the steed rod shown is free A500 mm² stress at the beginning and then its temperature is…

A:

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If the…

A:

Q: Determine the average normal stress in each of the 20-mm diameter bars of the truss. Set P = 40KN.…

A:

Q: Each of the four vertical Ilinks has an 8 x 36-mm uniform rectangular cross section and each of the…

A: Given: The load, P = 19 kN The area of vertical rectangular cross-sectional, A = 8x36 mm2 The pin…

Q: Determine the maximum value of the force P (kN) that can be applied to member AD if the allowable…

A: Given ThatA=270mm2△Lmax=3mmL1=3.8m                 L2=2.2mL3=0.85m               E=100GPa

Q: 8. The axle of a small truck is acted upon by the forces and couple shown. Knowing that the diameter…

A: Answer: The factor of safety at point H using Von-mises stress criteria is 1.3222.

Q: Determine the largest weight W that can be supported by the two wires AB and AC: The working…

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Q: The rigid bars AB and CD are supported by pins at A and D. The vertical rods are made of aluminium…

A:

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the…

A:

Q: Rigid triangle ABC is pinned at B and supported by a steel-reinforced aluminum shaft at A and an…

A: Given Rigid triangle ABC is pinned at B and supported by a steel-reinforced aluminum shaft at A and…

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If the…

A: Given Data The load acting at A is PA=80 kN. The load acting at B is PB=280 kN.  The ultimate…

Q: Determine the maximum value of the force P (kN) that can be applied to member AD if the allowable…

A: Given data: - The force applied at point A is P. The force applied at point B is FB = 12 kN. The…

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If F₁ =…

A:

Q: The solid circular rod has a cross-sectional area of 350 mm². It is subjected to a uniform axial…

A:

Q: A cast-iron tube is used to support a compressive load. Knowing that E5 10 3 106 psi and that the…

A: Given, Load (P) = 1600 lb Outside diameter(do) = 2 in The percentage of deformation in length is…

Q: 10. The 4-mm-diameter cable BC is made of a steel with E= 200 GPa Knowing that the maximum stress in…

A: Given data  Diameter of cable BC = 4mm  E =200 Gpa  Maximum stress should not exceed = 190Mpa…

Q: Link BC is to be made of a steel for which the ultimate normal stress is 250 MPa. Determine the…

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Q: Astainless steel tube with an outside diameter of 52 mm and a wall thickness of 5 mm is used as a…

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Q: The beam is supported by a pin at Cand by a short link AB. Each pin has a diameter of 10 mm. Assume…

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Q: At room temperature (20 °C) a 0.8 mm gap exists between the ends of the rods shown. At a later time…

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Q: The five-bolt connection shown must support an applied load of P-500 kN. If the average shear stress…

A:

Q: The beam is supported by a pin at Cand by a short link AB. Each pin has a diameter of 12 mm. Assume…

A:

Q: The structure supports a distributed load of w. The limiting stress in rod (1) is 300 MPa, and the…

A: Given:

Q: P' K.29 Two wooden members of uniform rectangular cross section are joined by the simple glued scarf…

A:

Q: The beam is supported by a pin at C and by a short link AB. Each pin has a diameter of 26 mm. Assume…

A:

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If the…

A: Given data: σ=345 MPa Need to determine the minimum diameter required for the rod.

Q: Knowing that the central portion of the link BD has a uniform cross-sectional area of 1350 mm,…

A: To determine the magnitude of force P.

Q: 2 m long aluminium rod must not stretch more than 1 mm and the normal stress must not exceed 38 MPa…

A: Givenlength of the rod L=2m=2000mmstrech limit ∆La=1mmnormal allowable stress σa=38MPa=38 N/mm2axial…

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the…

A:

Q: An axial force of 52 kN is applied to the assembly shown by means of rigid end plates. 5 mm 5 mm 20…

A:

Q: An axial force of 200 kN is applied to the assembly shown by means of rigid end plates. Determine…

A: Given data: The axial force acting on the assembly, P = 200 kN. Length of the shell, L = 300 mm.…

Q: room temperature (20˚C) a 0.5 mm gap exists between the ends of the rods shown. At a later time when…

A: GivenT1=20oCa=0.5mmT2=140oC

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the…

A:

Q: vo solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the…

A:

Q: The bar has a cross-sectional area of 400(10−6) m2. If it is subjected to a uniform axial…

A: Draw free body diagram of the right segment of the bar sectioned at x. Considering the equilibrium…

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the…

A:

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If the…

A:

Q: In the structure shown, an 8-mm-diameter pin is used at A and 12 mmdiameter pins are used at B and…

A: Draw free body diagram of links  and . In addition, draw free body diagrams of pins ,  and . Here,…

Q: For the connection shown, the average shear stress in the 17-mm-diameter bolts must be limited to…

A:

Q: The aluminum rod ABC (E =10.1* 106 psi), which consists of two cylindrical portions AB and BC, is to…

A: Given:EABC,Elastic modulus of rod ABC=10.1×106 psiEDE=29×106 psiLoad,P=28 kipsNow,Deformation in…

Q: Two horizontal 12.5-kip forces are applied to pin B of the assembly shown. Knowing that a pin of…

A: Consider various forces at B ,Balancing vertical forces,FAB sin 60 + FBC sin 45=0FAB = -FBC sin…

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.