Part 1
For the beam shown, assume that EI = 80 ,000
kip-ft2, P = 90 kips, and w = 7.5
kips/ft. Use discontinuity functions to determine
(a) the reactions at A, C, and D.
(b) the beam deflection at B.
Assume LAB = LBC = 9.5 ft,
LCD = 19.0 ft.
Homework Answers
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Part 1
For the beam shown, assume that EI = 80 ,000
kip-ft2, P = 90...
For the beam shown, assume that ET-130 ,000 kip-ft2, P = 80 kips, and w = 4.5 kips/ft. Use discontinuity functions to determine (a) the reactions at A, C, and D (b) the beam deflection at B Assume LA...
For the beam shown, assume that ET-130 ,000 kip-ft2, P = 80 kips, and w = 4.5 kips/ft. Use discontinuity functions to determine (a) the reactions at A, C, and D (b) the beam deflection at B Assume LAB = LBC = 9.0 ft, LCD = 18.0 ft. AB CD Sum the forces in the y direction to find an expression that includes the reaction forces Ay, Cy, and Dy acting on the beam. Positive values for the reactions are...
For the beam and loading shown, use discontinuity functions to compute the deflection vo of the...
For the beam and loading shown, use discontinuity functions to compute the deflection vo of the beam at D. Your answer should be consistent with the sign convention discussed in Section 10.3. Assume a constant value of EI-1750 kip-ft2 for the beam and assume that LAB-4.0 ft, LBC-6.5 ft, LCD-3.5 ft, P = 3.5 kips and Q = 3.5 kips. 0 BC LCD AB 3.430 Answer: vo- in.
A propped cantilever beam is loaded as shown. Assume that EI = 250,000 kN-m2, and use...
A propped cantilever beam is loaded as shown. Assume that
EI = 250,000 kN-m2, and use discontinuity
functions to determine
(a) the reactions at A and B.
(b) the beam deflection at C.
The reaction forces are positive if up and negative if down. The
reaction moment is positive if counterclockwise and negative if
clockwise.
Assume LAB = 5.4 m, LBC =
2.9 m, MC = 700 kN-m.
V Mc X A B LAB LBC Answers: (a) Ay = KN...
The simply supported beam consists of a w530 x 66 structural steel wide-flange shape [E-200 GPa; I -351 x 106 mm]. Determine (a) the beam deflection at point C. (b) the beam deflection at point E. As...
The simply supported beam consists of a w530 x 66 structural steel wide-flange shape [E-200 GPa; I -351 x 106 mm]. Determine (a) the beam deflection at point C. (b) the beam deflection at point E. Assume P = 35 kN, w = 80 kN/m, LAB = LBC = LCD = 4 m, LDE = 2 m LAB BC Answers: (a) vc=T-190.693 (b) VE178.156
The simply supported beam consists of a w530 x 66 structural steel wide-flange shape [E-200 GPa;...
A timber [E = 1,800 ksi] beam is loaded and supported as shown. The cross section...
A timber [E = 1,800 ksi] beam is loaded and supported
as shown. The cross section of the timber beam is b = 4
in. wide and h = 7 in. deep. The beam is supported at
B by a 0.875-in.-diameter aluminum [E = 10,500
ksi] rod, which has no load before the distributed load is applied
to the beam. After a distributed load of w = 610 lb/ft is
applied to the beam, determine
(a) the force carried by...
The cantilevered beam shown here has a known rigidity, EI, andlength, b, and is loaded...
The cantilevered beam shown here has a known rigidity, EI, and
length, b, and is loaded with a point force and a point moment as
shown a) Determine all reactions forces and draw the shear and
moment diagrams for this loading.b) Using discontinuity functions and the integration method,
find the deflection and the slope of the beam at the free
end.c) Using the moment-area method, find the deflection and the
slope of the beam at the location of the point load.
Consider the beam shown in (Figure 1). EI is constant. Assume A is a pin. Suppose...
Consider the beam shown in (Figure 1). EI is constant. Assume A
is a pin. Suppose that w = 1.4 k/ft, and EI is in k?ft2.
Determine the slope at point C measured
counterclockwise from the positive x axis. Use the method
of virtual work.
Determine the displacement at point C measured
downward. Use the method of virtual work.
Please use the method of virtual work
For the steel beam (EI=2x10^8 lb-in^2) and loading shown in the figure, w = .15 Kip/in...
For the steel beam (EI=2x10^8 lb-in^2) and loading shown in the
figure, w = .15 Kip/in & L=1ft.
1) Find the reaction forces at A and C
2) Deflection at B
A & C are on rollers, Fixed support at D.
Sections are divided into thirds, L/3.
Parthesteel beam (SI = 2x10 in) and long shown in figure w=0:15 by& (35 gts 3
mechanics materials To determine the reactive forces and moments acting on a beam; express the shear...
mechanics materials
To determine the reactive forces and moments acting on a beam; express the shear and bending moment as functions of their positions along the beam; and construct shear and bending moment diagrams. The cantilever beam shown is subjected to a moment at A and a distributed load that acts over segment BC, and is foxed at C. Determine the reactions at the support located at C. Then write expressions for shear and bending moment as a function of...
P9.037 A cantilever beam supports the loads shown. The cross-sectional dimensions of the shape are also shown. Assume LAB-2.5 ft, LBc 7.5 ft, w 1500 lb/ft, P-2100 lb, b-15 in., d-8 in., t 0.45 in. De...
P9.037 A cantilever beam supports the loads shown. The cross-sectional dimensions of the shape are also shown. Assume LAB-2.5 ft, LBc 7.5 ft, w 1500 lb/ft, P-2100 lb, b-15 in., d-8 in., t 0.45 in. Determine (a) the maximum horizontal shear stress. (b) the maximum compression bending stress. (c) the maximum tension bending stress BC MB Answers: ksi ƠC,ma,- (b) ksi ƠT,max= (c)
P9.037 A cantilever beam supports the loads shown. The cross-sectional dimensions of the shape are also shown....
For the beam shown, assume that ET-130 ,000 kip-ft2, P = 80 kips, and w = 4.5 kips/ft. Use discontinuity functions to determine (a) the reactions at A, C, and D (b) the beam deflection at B Assume LAB = LBC = 9.0 ft, LCD = 18.0 ft. AB CD Sum the forces in the y direction to find an expression that includes the reaction forces Ay, Cy, and Dy acting on the beam. Positive values for the reactions are...
For the beam and loading shown, use discontinuity functions to compute the deflection vo of the beam at D. Your answer should be consistent with the sign convention discussed in Section 10.3. Assume a constant value of EI-1750 kip-ft2 for the beam and assume that LAB-4.0 ft, LBC-6.5 ft, LCD-3.5 ft, P = 3.5 kips and Q = 3.5 kips. 0 BC LCD AB 3.430 Answer: vo- in.
A propped cantilever beam is loaded as shown. Assume that
EI = 250,000 kN-m2, and use discontinuity
functions to determine
(a) the reactions at A and B.
(b) the beam deflection at C.
The reaction forces are positive if up and negative if down. The
reaction moment is positive if counterclockwise and negative if
clockwise.
Assume LAB = 5.4 m, LBC =
2.9 m, MC = 700 kN-m.
V Mc X A B LAB LBC Answers: (a) Ay = KN...
The simply supported beam consists of a w530 x 66 structural steel wide-flange shape [E-200 GPa; I -351 x 106 mm]. Determine (a) the beam deflection at point C. (b) the beam deflection at point E. Assume P = 35 kN, w = 80 kN/m, LAB = LBC = LCD = 4 m, LDE = 2 m LAB BC Answers: (a) vc=T-190.693 (b) VE178.156
The simply supported beam consists of a w530 x 66 structural steel wide-flange shape [E-200 GPa;...
A timber [E = 1,800 ksi] beam is loaded and supported
as shown. The cross section of the timber beam is b = 4
in. wide and h = 7 in. deep. The beam is supported at
B by a 0.875-in.-diameter aluminum [E = 10,500
ksi] rod, which has no load before the distributed load is applied
to the beam. After a distributed load of w = 610 lb/ft is
applied to the beam, determine
(a) the force carried by...
Consider the beam shown in (Figure 1). EI is constant. Assume A
is a pin. Suppose that w = 1.4 k/ft, and EI is in k?ft2.
Determine the slope at point C measured
counterclockwise from the positive x axis. Use the method
of virtual work.
Determine the displacement at point C measured
downward. Use the method of virtual work.
Please use the method of virtual work
For the steel beam (EI=2x10^8 lb-in^2) and loading shown in the
figure, w = .15 Kip/in & L=1ft.
1) Find the reaction forces at A and C
2) Deflection at B
A & C are on rollers, Fixed support at D.
Sections are divided into thirds, L/3.
Parthesteel beam (SI = 2x10 in) and long shown in figure w=0:15 by& (35 gts 3
mechanics materials
To determine the reactive forces and moments acting on a beam; express the shear and bending moment as functions of their positions along the beam; and construct shear and bending moment diagrams. The cantilever beam shown is subjected to a moment at A and a distributed load that acts over segment BC, and is foxed at C. Determine the reactions at the support located at C. Then write expressions for shear and bending moment as a function of...
P9.037 A cantilever beam supports the loads shown. The cross-sectional dimensions of the shape are also shown. Assume LAB-2.5 ft, LBc 7.5 ft, w 1500 lb/ft, P-2100 lb, b-15 in., d-8 in., t 0.45 in. Determine (a) the maximum horizontal shear stress. (b) the maximum compression bending stress. (c) the maximum tension bending stress BC MB Answers: ksi ƠC,ma,- (b) ksi ƠT,max= (c)
P9.037 A cantilever beam supports the loads shown. The cross-sectional dimensions of the shape are also shown....
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