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The bar has a cross-sectional area A and is subjected to the axial load P. Determine the average normal and average sh...
Problem 5 The cross-sectional area of teh prismatic bar is 0.02 m². If the normal and...
Problem 5 The cross-sectional area of teh prismatic bar is 0.02 m². If the normal and shear stresses on the plane P are o = 1.25 MPa and to = -1.5 MPa, what are the angle ( and the axial force P. Figure 5
a. Relationship between average normal stress and normal load perpendicular to a cross-sectional area b. Relationship...
a. Relationship between average normal stress and normal load perpendicular to a cross-sectional area b. Relationship between average shear stress and shear load in-plane with a cross-sectional area C. Average normal strain along a line on a body, given initial and final line lengths d. Hooke's Law applied to relationship between axial stress and strain e. Hooke's Law applied to relationship between torsional stress and strain f. Poisson's ratio between longitudinal and lateral strains g. Modulus of elasticity of steel...
The bar has a 40 mm by 20 mm rectangular cross section. The allowable normal and...
The bar has a 40 mm by 20 mm rectangular cross section. The allowable normal and shear stresses on inclined surface a-a must be limited to 55 MPa and 30 MPa respectively. Determine the magnitude of the maximum axial force P that can be applied to the bar, and determine the actual normal and shear stresses acting on inclined plane a-a (MPa)
The bar shown has a cross-sectional area of 0.001 m² and a modulus of elasticity of...
The bar shown has a cross-sectional area of 0.001 m² and a modulus of elasticity of 100 GPa. It is subjected to a uniformly distributed axial force q= 50 kN/m pointed to the left. An external axial force F= 20 kN, pointed to the left, is applied at the middle of the bar, x=L/2. a. What is the axial force P in the bar as a function of x? b. What is the bar's total change in length? ttttttttta x...
1. The circular bar has a length of 12 ft-o in., a diameter of 1 in.,...
1. The circular bar has a length of 12 ft-o in., a diameter of 1 in., and a modulus of elasticity E = 29x10 psi. It is subjected to an axial force of 10,000 lbs along the centroidal axis of the bar's cross-sectional area as shown. Find the following: (i) Average normal stress and average shear stress at section a-a (ii) Average normal stress and average shear stress at section b-b (iii) The bar total elongation 10,000 lbs 10,000 lbs...
The cantilever beam is subjected to a concentrated load of P = 29 kips. The cross-sectional dimen...
The cantilever beam is subjected to a concentrated load of
P = 29 kips. The cross-sectional dimensions of the
wide-flange shape are shown in the second figure. Assume
yH=3.4 in., yK=1.6 in.,
d=10.6 in., tw=0.323 in.,
tf=0.507 in., bf=6.12 in.
Determine:
The cantilever beam is subjected to a concentrated load of P 29 kips. The cross-sectional dimensions of the wide-flange shape are shown in the second figure. Assume y,-3.4 in., Ук_ 1.6 in., d-10.6 in., t,-0.323 in., tf-0.507 in., bf-6.12...
The cantilever beam is subjected to a concentrated load of P = 52 kips. The cross-sectional...
The cantilever beam is
subjected to a concentrated load of P = 52 kips. The
cross-sectional dimensions of the wide-flange shape are shown in
the second figure. Assume yH = 3.2 in.,
yK = 1.8 in., d = 10.8 in.,
tw = 0.354 in., tf = 0.414
in., bf = 6.62 in. Determine:
(a) the shear stress τH at point H, which is located 3.2
in. below the centroid of the wide-flange shape.
(b) the maximum horizontal shear stress τmax...
The flanged member shown below is subjected to an internal axial force of P = 6500...
The flanged member shown below is subjected to an internal axial force of P = 6500 lb, an internal shear force of V = 4500 lb, and an internal bending moment of M = 19200 lb-ft, acting in the directions shown. d M Iw y HI a y Ilk thu The dimensions of the cross section are: bf = 8.0 in. tp = 0.61 in. d = 11.0 in. tw = 0.38 in. The cross-sectional area of the flanged shape...
The cantilever beam shown in the figure is subjected to a concentrated load at point B....
The cantilever beam shown in the figure is subjected to a concentrated load at point B. The stresses acting at point H on the beam are to be determined. H Cross section For this analysis, use the following values: Beam and Load. a = 1.75 m b=0.30 m @= 60 degrees P = 25 KN Cross-sectional Dimensions d=250 mm bp = 125 mm ty=7 mm tw = 7 mm C= 30 mm (Note: The load P applied at Bacts in...
The cantilever beam is subjected to a concentrated load of P = 35 kips. The cross-sectional...
The cantilever beam is subjected to a concentrated load of P = 35 kips. The cross-sectional dimensions of the wide-flange shape are shown in the second figure. Assume yH = 4.6 in., ?? 1.8 in, d = 14.6 in., tw= 0.307 in., tf= 0.331 in., br= 7.55 in. Determine: (a) the shear stress tH at point H, which is located 4.6 in. below the centroid of the wide-flange shape. (b) the maximum horizontal shear stress Tmax in the wide-flange shape...
Problem 5 The cross-sectional area of teh prismatic bar is 0.02 m². If the normal and shear stresses on the plane P are o = 1.25 MPa and to = -1.5 MPa, what are the angle ( and the axial force P. Figure 5
a. Relationship between average normal stress and normal load perpendicular to a cross-sectional area b. Relationship between average shear stress and shear load in-plane with a cross-sectional area C. Average normal strain along a line on a body, given initial and final line lengths d. Hooke's Law applied to relationship between axial stress and strain e. Hooke's Law applied to relationship between torsional stress and strain f. Poisson's ratio between longitudinal and lateral strains g. Modulus of elasticity of steel...
The bar has a 40 mm by 20 mm rectangular cross section. The allowable normal and shear stresses on inclined surface a-a must be limited to 55 MPa and 30 MPa respectively. Determine the magnitude of the maximum axial force P that can be applied to the bar, and determine the actual normal and shear stresses acting on inclined plane a-a (MPa)
The bar shown has a cross-sectional area of 0.001 m² and a modulus of elasticity of 100 GPa. It is subjected to a uniformly distributed axial force q= 50 kN/m pointed to the left. An external axial force F= 20 kN, pointed to the left, is applied at the middle of the bar, x=L/2. a. What is the axial force P in the bar as a function of x? b. What is the bar's total change in length? ttttttttta x...
1. The circular bar has a length of 12 ft-o in., a diameter of 1 in., and a modulus of elasticity E = 29x10 psi. It is subjected to an axial force of 10,000 lbs along the centroidal axis of the bar's cross-sectional area as shown. Find the following: (i) Average normal stress and average shear stress at section a-a (ii) Average normal stress and average shear stress at section b-b (iii) The bar total elongation 10,000 lbs 10,000 lbs...
The cantilever beam is subjected to a concentrated load of
P = 29 kips. The cross-sectional dimensions of the
wide-flange shape are shown in the second figure. Assume
yH=3.4 in., yK=1.6 in.,
d=10.6 in., tw=0.323 in.,
tf=0.507 in., bf=6.12 in.
Determine:
The cantilever beam is subjected to a concentrated load of P 29 kips. The cross-sectional dimensions of the wide-flange shape are shown in the second figure. Assume y,-3.4 in., Ук_ 1.6 in., d-10.6 in., t,-0.323 in., tf-0.507 in., bf-6.12...
The cantilever beam is
subjected to a concentrated load of P = 52 kips. The
cross-sectional dimensions of the wide-flange shape are shown in
the second figure. Assume yH = 3.2 in.,
yK = 1.8 in., d = 10.8 in.,
tw = 0.354 in., tf = 0.414
in., bf = 6.62 in. Determine:
(a) the shear stress τH at point H, which is located 3.2
in. below the centroid of the wide-flange shape.
(b) the maximum horizontal shear stress τmax...
The flanged member shown below is subjected to an internal axial force of P = 6500 lb, an internal shear force of V = 4500 lb, and an internal bending moment of M = 19200 lb-ft, acting in the directions shown. d M Iw y HI a y Ilk thu The dimensions of the cross section are: bf = 8.0 in. tp = 0.61 in. d = 11.0 in. tw = 0.38 in. The cross-sectional area of the flanged shape...
The cantilever beam shown in the figure is subjected to a concentrated load at point B. The stresses acting at point H on the beam are to be determined. H Cross section For this analysis, use the following values: Beam and Load. a = 1.75 m b=0.30 m @= 60 degrees P = 25 KN Cross-sectional Dimensions d=250 mm bp = 125 mm ty=7 mm tw = 7 mm C= 30 mm (Note: The load P applied at Bacts in...
The cantilever beam is subjected to a concentrated load of P = 35 kips. The cross-sectional dimensions of the wide-flange shape are shown in the second figure. Assume yH = 4.6 in., ?? 1.8 in, d = 14.6 in., tw= 0.307 in., tf= 0.331 in., br= 7.55 in. Determine: (a) the shear stress tH at point H, which is located 4.6 in. below the centroid of the wide-flange shape. (b) the maximum horizontal shear stress Tmax in the wide-flange shape...
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