A steel bar is 6.0 ft long and has a circular cross section of diameter d₁ = 0.75 in. over one-half of its length and diameter d₂ = 0.5 in. over the other half (see figure (a)). The modulus of elasticity is E = 30 x 106 psi. d₁ = 0.75 in. [d₂ = 0.50 in. 3.0 ft q= 1,783 lb/ft có km có (a) [d₁ = 0.75 in. 3.0 ft (b) 3.0 ft |d₂ = 0.50 in. 3.0 ft O P = 5,350 lb P = 5,350 lb Ⓡ (a) How much will the bar elongate (in inches) under a tensile load P = 5,350 lb? (Use the deformation sign convention.) inches (b) If the same volume of material is made into a bar of constant diameter d and length 6.0 ft, what will be the elongation (in inches) under the same load P? (Use the deformation sign convention.) inches (c) If the uniform axial centroidal load g = 1,783 lb/ft is applied to the left over segment 1 (see figure (b)), find the ratio of the total elongation of the bar to that in parts (a) and (b).

A steel bar is 6.0 ft long and has a circular cross section of diameter d₁ = 0.75 in. over one-half of its length and diameter d₂ = 0.5 in. over the other half (see figure (a)). The modulus of elasticity is E = 30 x 106 psi. d₁ = 0.75 in. [d₂ = 0.50 in. 3.0 ft q= 1,783 lb/ft có km có (a) [d₁ = 0.75 in. 3.0 ft (b) 3.0 ft |d₂ = 0.50 in. 3.0 ft O P = 5,350 lb P = 5,350 lb Ⓡ (a) How much will the bar elongate (in inches) under a tensile load P = 5,350 lb? (Use the deformation sign convention.) inches (b) If the same volume of material is made into a bar of constant diameter d and length 6.0 ft, what will be the elongation (in inches) under the same load P? (Use the deformation sign convention.) inches (c) If the uniform axial centroidal load g = 1,783 lb/ft is applied to the left over segment 1 (see figure (b)), find the ratio of the total elongation of the bar to that in parts (a) and (b).

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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