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A steel frame shown below is subjected to combined uniformly distributed gravity load (w...
Problem 3: (25%) The steel frame shown in the Figure is subjected to a force P(t)...
Problem 3: (25%) The steel frame shown in the Figure is subjected to a force P(t) = 15 sin(ot) kips at the beam level. The damping ratio 5 is 5%, E = 3 x 10 ksi, total weight of the beams = 100 kips, all the columns are 12" x 12" in size and this is the case of resonance. Determine: a) Damped and un-damped natural periods of the structure. b) The maximum dynamic horizontal displacement (u.) at the top...
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 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...
The frame below has wind load and dead as shown. Use w(Dead) = 6 kip/ft and...
The frame below has wind load and dead as shown. Use w(Dead) = 6
kip/ft and w(Live) = 3 kip/ft, L = 30 ft and H = 15 ft. The beams
and columns have modulus of elasticity E of 29000 ksi and moment of
inertias I(beam) = 2000 in4 and I(column) = 800
in4. Similarly they have cross-sectional areas A(beam) =
20 in2 and A(column) = 25 in2. Consider that
the wind can act in both horizontal directions.
Determine:
The...
FLANGE. 44" THICK Problem 6. THIS IS A STEEL WIDE FLANGE SECTION W 16 X 31....
FLANGE. 44" THICK Problem 6. THIS IS A STEEL WIDE FLANGE SECTION W 16 X 31. THIS BEAM SPANS 20 FEET AND CARRIES A LOAD OF 3 KIPS PER FOOT ALONG ITS LENGTH. CALCULATE THE MAXIMUM BENDING STRESS AND THE MAXIMUM SHEAR STRESS GENERATED IN THIS BEAM. E NEUTRAL AXIS WEB 275" THICK
QI A cantilever steel beam of length L 7.5 m carries both a uniformly distributed load...
QI A cantilever steel beam of length L 7.5 m carries both a uniformly distributed load w of 20 kN/m throughout its length and a point load P of 10 kN at its free end, as shown in Figure QI (a). The beam is made from a rectangular hollow box section with a width of 300 mm and a depth of 450 mm (refer to Figure Q1 (b)). The wall thickness of the box section is constant throughout which is...
For the Wide-Flange I-beam with distributed load as in figure below calculate: 1) the shear force...
For the Wide-Flange I-beam with distributed load as in figure below calculate: 1) the shear force V(x) and the bending moment M(x) and plot the shear and bending moment diagrams 2) the maximum bending moment MMAX For the section of the beam with Mwax calculate for each of the points A and B shown in the figure: (a) the flexural stress og (b) the principal stresses 01, 02, 03 c) the principal stress angle Upi (d) the absolute maximum shear...
scenes M4.3 Load capacity of beam-strut structure The structure supports a distributed load of w. The...
scenes M4.3 Load capacity of beam-strut structure The structure supports a distributed load of w. The limiting stress in rod (1) is 380 MPa, and the limiting stress in each pin is 220 MPa. If the minimum factor of safety for the structure is 1.60, determine the 2 m maximum distributed load magnitude w that may be applied to the structure plus the stresses in the rod and pins at the maximum w. 14-mm-diam. pin Home Chap 1. Stress Chap...
Q2 A simply supported beam of length L = 10 m carries a uniformly distributed load...
Q2 A simply supported beam of length L = 10 m carries a uniformly distributed load w of 10 kN/m, as shown in Figure Q2 (a). The beam is made from a symmetrical I-section and consists of three equal rectangular members of 100 mm x 10 mm (see Figure Q2 (b)). Self- weight of the beam is neglected. 100 mm w = 10 kN/m A- - A 100 mm 77777 L/3 L/3 L/3 — Figure Q2 (a) Figure Q2 (b)...
Problem 3: (25%) The steel frame shown in the Figure is subjected to a force P(t) = 15 sin(ot) kips at the beam level. The damping ratio 5 is 5%, E = 3 x 10 ksi, total weight of the beams = 100 kips, all the columns are 12" x 12" in size and this is the case of resonance. Determine: a) Damped and un-damped natural periods of the structure. b) The maximum dynamic horizontal displacement (u.) at the top...
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 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...
The frame below has wind load and dead as shown. Use w(Dead) = 6
kip/ft and w(Live) = 3 kip/ft, L = 30 ft and H = 15 ft. The beams
and columns have modulus of elasticity E of 29000 ksi and moment of
inertias I(beam) = 2000 in4 and I(column) = 800
in4. Similarly they have cross-sectional areas A(beam) =
20 in2 and A(column) = 25 in2. Consider that
the wind can act in both horizontal directions.
Determine:
The...
FLANGE. 44" THICK Problem 6. THIS IS A STEEL WIDE FLANGE SECTION W 16 X 31. THIS BEAM SPANS 20 FEET AND CARRIES A LOAD OF 3 KIPS PER FOOT ALONG ITS LENGTH. CALCULATE THE MAXIMUM BENDING STRESS AND THE MAXIMUM SHEAR STRESS GENERATED IN THIS BEAM. E NEUTRAL AXIS WEB 275" THICK
QI A cantilever steel beam of length L 7.5 m carries both a uniformly distributed load w of 20 kN/m throughout its length and a point load P of 10 kN at its free end, as shown in Figure QI (a). The beam is made from a rectangular hollow box section with a width of 300 mm and a depth of 450 mm (refer to Figure Q1 (b)). The wall thickness of the box section is constant throughout which is...
For the Wide-Flange I-beam with distributed load as in figure below calculate: 1) the shear force V(x) and the bending moment M(x) and plot the shear and bending moment diagrams 2) the maximum bending moment MMAX For the section of the beam with Mwax calculate for each of the points A and B shown in the figure: (a) the flexural stress og (b) the principal stresses 01, 02, 03 c) the principal stress angle Upi (d) the absolute maximum shear...
scenes M4.3 Load capacity of beam-strut structure The structure supports a distributed load of w. The limiting stress in rod (1) is 380 MPa, and the limiting stress in each pin is 220 MPa. If the minimum factor of safety for the structure is 1.60, determine the 2 m maximum distributed load magnitude w that may be applied to the structure plus the stresses in the rod and pins at the maximum w. 14-mm-diam. pin Home Chap 1. Stress Chap...
Q2 A simply supported beam of length L = 10 m carries a uniformly distributed load w of 10 kN/m, as shown in Figure Q2 (a). The beam is made from a symmetrical I-section and consists of three equal rectangular members of 100 mm x 10 mm (see Figure Q2 (b)). Self- weight of the beam is neglected. 100 mm w = 10 kN/m A- - A 100 mm 77777 L/3 L/3 L/3 — Figure Q2 (a) Figure Q2 (b)...
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