Homework Answers
The right option is 5
The moment is the product of the flexural rigidity (EI) and the second derivative of deflection.
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Choose the correct statement. The shear load is the product of the flexural rigidity (EI) and...
2. A beam with a uniform flexural rigidity, EI, is loaded by a triangular distributed load,...
2. A beam with a uniform flexural rigidity, EI, is loaded by a triangular distributed load, Pz(x), as shown below: a) Find the deflection w(x) (10pts) b) Sketch the shear force V(x) and the beading moment M(x) along the length of the beam, labeling all significant points. (5pts) c) Calculate the maximum bending stress, Omax, and indicate where it occurs. (5pts) z, W Cross Section - 1/3 — * - 2/3 —
(2) A simply supported beam of flexural rigidity El carries a constant uniformly distributed load of...
(2) A simply supported beam of flexural rigidity El carries a constant uniformly distributed load of intensity p per unit length as shown Figure 2 below. Assume the deflection shape to be a polynomial in x, and is given by v (x) = a., + as+ a2 x, where ao, a.呙are constants to be determined. (a) State the boundary conditions for the deflection equation. Using the boundary conditions stated in (a) and the Rayleigh-Ritz method, determine (b) the constants a,...
need detailed process and pretty handwriting for all problems is constant. The flexural rigidity EI following...
need detailed process and pretty handwriting
for all problems is constant. The flexural rigidity EI following equations: Elv" M, Elv", EI l. (25% For Problems 1 ans 2, start from one of the ) Determine the equation of the deflection curve for the beam AB carrying a concentrated load P as shown in Fig. 1 2. tite L/4 3L/4 Fig. 1 of
2) (15 pts) A steel beam is supported by a pin at A and a high-strength wire at B. Load P acts on the free end at C. The wire's axial rigidity EA - 300x10' lb, and the beam's flexural...
2) (15 pts) A steel beam is supported by a pin at A and a high-strength wire at B. Load P acts on the free end at C. The wire's axial rigidity EA - 300x10' lb, and the beam's flexural rigidity EI- 30x10% Ib/in2. Find the deflection at C P-220 lb 24 in 36 in 24 in
2) (15 pts) A steel beam is supported by a pin at A and a high-strength wire at B. Load P acts on...
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.
3. A beam is simply supported on both ends where the flexural rigidity EI-1, the distance between...
3. A beam is simply supported on both ends where the flexural rigidity EI-1, the distance between the supports is 8 units, and the load per unit length w(z) = 2 sin ( ) + 3. a) State the boundary-value problem associated with the situation. (6 points) b) Solve the BVP. (10 points)
3. A beam is simply supported on both ends where the flexural rigidity EI-1, the distance between the supports is 8 units, and the load per unit...
Determine the vertical displacement of point D under flexure using virtual-work equations. Flexural Rigidity (EI) of...
Determine the vertical displacement of point D under flexure using virtual-work equations. Flexural Rigidity (EI) of the beam is constant. S=3 and your distributed load is w=S+1=4 kN/m) Results table Ad,vertical w=(S+1) kN/m Α. B D 6 m 3 m 3 m K * Figure 4.
There are two bearings support each end of a shaft. Bearing at right side has vertical stiffness,...
There are two bearings support each end of a shaft. Bearing at right side has vertical stiffness, ks. Shaft is subjected to a distributed load which intensity is p equal to 4380 N/m and a point P of 1880 N as shown in figure C. the flexural rigidity EI of the shaft is 34.5*103 Nm2 Ks 250 kN/m. Determine: i. The slope and deflection at the ends and midspan of the shaft ii. The moment and shear force at the...
A simply supported uniform beam (with length L and flexural rigidity El) carries a moment Mo...
A simply supported uniform beam (with length L and flexural rigidity El) carries a moment Mo (clockwise) at a distance -21B away from the left end (x-0). Calculate the deflection () and slope (dv/de) at 21/3 by using the Rayleigh-Ritz Method. Assume a deflection curve of the form v-asin(rx/L), where a is to be determined
3. 20 Determine the slope and deflection at point Dunder flexure using Moment-Area Method. Flexural rigidity...
3. 20 Determine the slope and deflection at point Dunder flexure using Moment-Area Method. Flexural rigidity of the beam is El and it is constant 5=5m Results table 0= A= 5 kN 3 kN/m A B S 1 m 2 m * 5m Figure 3.
2. A beam with a uniform flexural rigidity, EI, is loaded by a triangular distributed load, Pz(x), as shown below: a) Find the deflection w(x) (10pts) b) Sketch the shear force V(x) and the beading moment M(x) along the length of the beam, labeling all significant points. (5pts) c) Calculate the maximum bending stress, Omax, and indicate where it occurs. (5pts) z, W Cross Section - 1/3 — * - 2/3 —
(2) A simply supported beam of flexural rigidity El carries a constant uniformly distributed load of intensity p per unit length as shown Figure 2 below. Assume the deflection shape to be a polynomial in x, and is given by v (x) = a., + as+ a2 x, where ao, a.呙are constants to be determined. (a) State the boundary conditions for the deflection equation. Using the boundary conditions stated in (a) and the Rayleigh-Ritz method, determine (b) the constants a,...
need detailed process and pretty handwriting
for all problems is constant. The flexural rigidity EI following equations: Elv" M, Elv", EI l. (25% For Problems 1 ans 2, start from one of the ) Determine the equation of the deflection curve for the beam AB carrying a concentrated load P as shown in Fig. 1 2. tite L/4 3L/4 Fig. 1 of
2) (15 pts) A steel beam is supported by a pin at A and a high-strength wire at B. Load P acts on the free end at C. The wire's axial rigidity EA - 300x10' lb, and the beam's flexural rigidity EI- 30x10% Ib/in2. Find the deflection at C P-220 lb 24 in 36 in 24 in
2) (15 pts) A steel beam is supported by a pin at A and a high-strength wire at B. Load P acts on...
3. A beam is simply supported on both ends where the flexural rigidity EI-1, the distance between the supports is 8 units, and the load per unit length w(z) = 2 sin ( ) + 3. a) State the boundary-value problem associated with the situation. (6 points) b) Solve the BVP. (10 points)
3. A beam is simply supported on both ends where the flexural rigidity EI-1, the distance between the supports is 8 units, and the load per unit...
Determine the vertical displacement of point D under flexure using virtual-work equations. Flexural Rigidity (EI) of the beam is constant. S=3 and your distributed load is w=S+1=4 kN/m) Results table Ad,vertical w=(S+1) kN/m Α. B D 6 m 3 m 3 m K * Figure 4.
There are two bearings support each end of a shaft. Bearing at right side has vertical stiffness, ks. Shaft is subjected to a distributed load which intensity is p equal to 4380 N/m and a point P of 1880 N as shown in figure C. the flexural rigidity EI of the shaft is 34.5*103 Nm2 Ks 250 kN/m. Determine: i. The slope and deflection at the ends and midspan of the shaft ii. The moment and shear force at the...
A simply supported uniform beam (with length L and flexural rigidity El) carries a moment Mo (clockwise) at a distance -21B away from the left end (x-0). Calculate the deflection () and slope (dv/de) at 21/3 by using the Rayleigh-Ritz Method. Assume a deflection curve of the form v-asin(rx/L), where a is to be determined
3. 20 Determine the slope and deflection at point Dunder flexure using Moment-Area Method. Flexural rigidity of the beam is El and it is constant 5=5m Results table 0= A= 5 kN 3 kN/m A B S 1 m 2 m * 5m Figure 3.
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