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Lab Manuals for Mechanics of Solids - MOS By Ubaid Rehman

  • Mechanics of Solids - MOS
  • Practical
  • Inti International University - INTI
  • Mechanical Engineering
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1 Faculty of Engineering and Quantity Surveying (FEQS) MEE3204/MEE3224 – SOLIDS MECHANICS LAB EXP. TITLE : Experiment 1 – Torsion And Shear Modulus Test SECTION : ………………… 8K1……………… GROUP NUMBER : ……………….2…………. GROUP MEMBER : ……….Ubaid Ur Rehman i15009677………………. ………..Lahkmir Amiruddin i16010338……………….. LECTURER Performed Date 27-10-2017 : ………… MR Abdolreza Toudehdehghan……………….. Due Date* Submitted Date 3-11-2017 17-112017 *Late submission penalty: Late 1 day: 20%, Late 2 days: 40%, Late 3 days: 60%, More than 3 days: not accepted

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2 Content Introduction 3 Objective 3 Theory 4 Mythology 5 Procedure 6 Results 8 Discussion 11 Conclusion 12 Reference 12

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3 1.0 INTRODUCTION Torsion : twisting of a structural member, when it is loaded by couples that produce rotation about its longitudinal axis T1 = P1 d1 T2 = P2 d2 the couples T1, T2 are called torques, twisting couples or twisting moments unit of T : N-m, lb-ft in this chapter, we will develop formulas for the stresses and deformations produced in circular bars subjected to torsion, such as drive shafts, thin-walled members analysis of more complicated shapes required more advanced method then those presented here this chapter cover several additional topics related to torsion, such statically indeterminate members, strain energy, thin-walled tube of noncircular section, stress concentration, and nonlinear behaviour 1.1 Objective: • To understand the principles of torsion testing, practice their testing skills and interpreting the experimental results of the provided materials when failed under torsion. • To determine the maximum shearing stress, shear stress at proportional limit, shear modulus or modulus of rigidity and relationships between torque and degree of rotation of the tested materials. • To differentiate the ability of materials such as steel, brass and aluminium to withstand torque prior to torsion failure. Analysis and interpretation of the test parameters obtained should be carried out in relation to the failure nature of each material. • To improve the capable of selecting materials for engineering applications associated with torsion. • To study the response of materials like steel, brass and aluminium under a torsional stress. • To become familiar with torsion tests of rods with solid circular cross sections

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4 • To observe the relation between shear stress (τ) and shear strain (γ). • To experimentally determine the shear modulus (G) of three different circular metal rods. 1.2 Theory:- Generally, torsion occurs when the twisting moment or torque is applied to a member according to figure 1. The torque is the product of tangential force multiplied by the radial distance from the twisting axis and the tangent, measured in a unit of N.m. In torsion testing, the relationship between torque and degree of rotation is graphically presented and parameters such as ultimate torsional shearing strength (modulus of rupture), shear strength at proportional limit and shear modulus (modulus of rigidity) are generally investigated. Moreover, fracture surfaces of specimens tested under torsion can be used to determine the characteristics of the materials whether it would fail in a brittle or a ductile manner.

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