Q-1 A circular bar is to withstand a bending moment of 10 kNm and a torque of 30 kNm. Determine the diameter of the bar if the yield stress of the material is 250 MPa and the factor of safety is 3. Use maximum normal strain theory of failure. Take Poisson's ratio as 0.3.

Q-1 A circular bar is to withstand a bending moment of 10 kNm and a torque of 30 kNm. Determine the diameter of the bar if the yield stress of the material is 250 MPa and the factor of safety is 3. Use maximum normal strain theory of failure. Take Poisson's ratio as 0.3.

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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Q-1 A circular bar is to withstand a bending moment of 10 kNm and a torque of 30 kNm. Determine the diameter of the bar if the yield stress of the material is 250 MPa and the factor of safety is 3. Use maximum normal strain theory of failure. Take Poisson's ratio as 0.3.
Find the value of maximum principal stress if maximum shear stress is 60 MPa and minimum principal stress is 50 MPa
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A solid 1.10 in. diameter shaft is subjected to a torque of T = 390 lb-ft and an axial load of P = 4900 lb. (a) Determine the principal stresses and the maximum shear stress at point H on the surface of the shaft. (b) Show the stresses of part (a) and their directions on an appropriate sketch. Answer: (a) Op1 = op2 = i 20675.03 i Tmax in-plane -15518.77 18096.90 H psi psi psi T B P x (b) Show the stresses of part (a) and their directions on an appropriate sketch.
Find principal stresses and max in plane shear stresses ...using stress transformation equation
(A) he figure below shows three metal cubes A, B, C of side 100 mm in direct contact, resting on a rigid base and confined in x-coordinate direction between two rigid end plate. If the upper face of the center cube B is subjected to uniform compressive stress of 0.5 kN/mm², compute for cube B, the following: (i) The direct stress in x-direction (₂) (ii) The direct strains in the three coordinates directions x, y and z (iii) The volumetric strain Rigid A E=150 kN/mm² μ = 0.25 o₂ = 0.5 kN/mm² B E = 200 kN/mm² μ = 0.3 -Rigid C E = 150 kN/mm² μ = 0.25 Rigid
A solid 2.95 in. diameter shaft is subjected to a torque of T = 305 lb-ft and an axial load of P = 4700 lb. (a) Determine the principal stresses and the maximum shear stress at point Hon the surface of the shaft. (b) Show the stresses of part (a) and their directions on an appropriate sketch. N Answer: (a) Op1= i Op2= i A Tmax in-plane i H (1) psi psi psi T B (b) Show the stresses of part (a) and their directions on an appropriate sketch.
A metal block (E = 60 GPa and Poisson's ratio of 0.35) rests on a rigid surface as shown below. It has uniformly applied loads which results in uniform stresses on the surfaces as shown. Assuming a compressive stress of 200 MPa along x-direction, determine the magnitude of stress oy for which the change in the height of the bock will be zero, (b) the corresponding change in the area of the face ABCD, and (c) the corresponding change in the area of the volume of the block. 40 2 100mm 25mm
4 A metal wire Im long and of 10mm diam eter is stretched by a load of 50 kg. If E = 7 x 10³ N/mm² for the metal, find the (a) stress (b) strain and (3) Poisson's ratio if the lateral strain is 2.6x 105 m/m.
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