(a) A steel cantilever beam with a 1-in-diameter round cross section and length of 10 in is loaded at the tip with a transverse force of 1000 lbf and an axial force of 5000 lbf, as shown in the figure. Study the significance of the transverse shear stress in combination with tension and bending by calculating magnitudes of the stresses. Explain and comment on the stresses and strains generated. 1000 Ibf 1 in dia. Cross section at the wall 5000 Ibf

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Task 1
(a) A steel cantilever beam with a 1-in-diameter round cross section and length of 10 in is loaded
at the tip with a transverse force of 1000 lbf and an axial force of 5000 lbf, as shown in the
figure. Study the significance of the transverse shear stress in combination with tension and
bending by calculating magnitudes of the stresses. Explain and comment on the stresses and
strains generated.
1000 Ibf
1 in dia.
Cross section at the wall
5000 Ibf
(b) Consider a square element in the x-y plane with side length of 3 cm. The thickness of the
element is 7 mm. The element has modulus of elasticity of 200 GPa and Poison's ratio of
0.33. If the element is subjected to forces in the x and y directions of 3 KN and 1.5 KN,
respectively, find the dimensions of the loaded element.
(c) Consider a cubic element with side length of 4 cm. The element has modulus of elasticity of
80 GPa and Poison's ratio of 0.3. If the element is subjected to equal forces in the x, y and z
direction of 3 KN. Determine the volumetric strain and bulk modulus.
Transcribed Image Text:Task 1 (a) A steel cantilever beam with a 1-in-diameter round cross section and length of 10 in is loaded at the tip with a transverse force of 1000 lbf and an axial force of 5000 lbf, as shown in the figure. Study the significance of the transverse shear stress in combination with tension and bending by calculating magnitudes of the stresses. Explain and comment on the stresses and strains generated. 1000 Ibf 1 in dia. Cross section at the wall 5000 Ibf (b) Consider a square element in the x-y plane with side length of 3 cm. The thickness of the element is 7 mm. The element has modulus of elasticity of 200 GPa and Poison's ratio of 0.33. If the element is subjected to forces in the x and y directions of 3 KN and 1.5 KN, respectively, find the dimensions of the loaded element. (c) Consider a cubic element with side length of 4 cm. The element has modulus of elasticity of 80 GPa and Poison's ratio of 0.3. If the element is subjected to equal forces in the x, y and z direction of 3 KN. Determine the volumetric strain and bulk modulus.
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