a Calculate the moment of inertia of a square shaped beam with a dimension of 20...
a Calculate the moment of inertia of a square shaped beam with a dimension of 20 cm. The total length of the beam is 2 meters
b Assuming the beam is composed of titanium (E = 18,000 Ksi), a 12,000 N force was uniformly applied along the beam. What is the expected deflection (in inches) one feet from the end of the beam?
c Using the data provided in 1.a & b, calculate the force magnitude to be uniformly applied along the beam to cause a deflection of 8.96 x 10-4 inches at a distance one feet from the end of the beam?
Homework Answers
Add Answer to:
a Calculate the moment of inertia of a square shaped beam with a dimension of 20...
P1 P2 А B a b Moment of Inertia 1=11 Moment of Inertia 2=12 For the...
P1 P2 А B a b Moment of Inertia 1=11 Moment of Inertia 2=12 For the Beam Shown: Use the DOUBLE INTEGRAL METHOD to determine the deflection at end in inches. For downward deflection enter a negative value. a-11 ft b5ft Moment of inertia 1-11-1.739 in Moment of Inertia 2-12-2,569 in P1=27kip P2=29 kip E 29,000 ksi
1) The beam shown below is made from an 8 in x 8 in hollow square...
1) The beam shown below is made from an 8 in x 8 in hollow square tube with a wall thickness of 0.5 in The modulus of elasticity of the beam is 10,000 ksi. (a) Identify the individual load cases from the beam tables that should be applied. Draw the deflected shape for each case and clearly show or mark locations where deflection or slope are zero. (b) Evaluate the deflection at point C in inches. [Ans. To check, ve-3.82in...
A steel beam is simply supported over a span of 20 feet and carries a total design point load of 6 kips at the center of the span. The moment of inertia (1) for the beam is 245 in4. Neglecting th...
A steel beam is simply supported over a span of 20 feet and carries a total design point load of 6 kips at the center of the span. The moment of inertia (1) for the beam is 245 in4. Neglecting the beam weight, the maximum load deflection of the beam is with a point load in.(Fill in the blank and show calculation below) Show equation(s) used and calculation(s):
A steel beam is simply supported over a span of 20 feet...
A Semi-infinite beam is loaded by force P at distance a from its end, as shown...
A Semi-infinite beam is loaded by force P at distance a from its
end, as shown in figure. (a) Obtain formulas for deflection, slope,
moment, and shear force, Using the results from part (a), consider
a 2-m-long steel bar (E = 210 GPa) of 75mm´75mm square cross
section that rests with a side on a rubber foundation with a
modulus of k = 24 MPa. If a concentrated load P = 100 kN is applied
at the distance of a...
A steel I-beam with a span of 20 feet will support both a concentrated load of...
A steel I-beam with a span of 20 feet will support both a concentrated load of 15 kips at the beam center and a uniformly distributed load of 2 kips/ft along the entire beam length. The steel beam is Grade 50 (Fy= 50,000 psi). i) Calculate for the lightest W-shape section that will safely carry the load, with the depth not to exceed 17 inches. Provide sketches. ii) The analysis is to include (a) bending strength, (b) shear strength, and...
The simply supported beam has length L, elasticity modulus E, and cross-section with moment of inertia...
The simply supported beam has length L, elasticity modulus E, and cross-section with moment of inertia I. A concentrated force is applied at half point, as illustrated below 1/2 1/2 o The deflection curve for the the first half of the beam is given by: 21 (2) = + (- +) Obtain the equation for the deflection curve y(x) for L/2 < x < L, where: y2(x) = (Ao + A1 x + A2 x2 + A3 x3) When solving...
pls show work 2. Find the effective moment of inertia for the following concrete sections (f....
pls show work
2. Find the effective moment of inertia for the following concrete sections (f. = 4000 psi) when cracked moment to applied moment ratio is (a) 0.9 (b) 0.7 and (c) 0.5. Note: values are not from an actual beam. Calculate the applied moment if the beam span is 8 ft and (a) the central point load is 8 kip and (b) a UDL of 1 kip/ft is applied. Calculate the deflection due to a point load of...
A simply supported 2 x 4 beam spans 10 feet. It is designed to handle two...
A simply supported 2 x 4 beam spans 10 feet. It is designed to handle two equal concentrated loads of 200 lbs. The loads occur at 30" from each end. The beam is made of Douglas Fir (Young's Modulus 1.95 x 105 PSI). Assume that the beam is oriented in the proper direction to minimize stress. Don't forget to use actual dimensions instead of nominal dimensions. 2. a. b. c. d. e. Calculate the maximum shear force. Calculate the maximum...
Problem 3.5 Consider the L-shaped beam illustrated in Figure 3.34. The beam is mounted to the...
Problem 3.5 Consider the L-shaped beam illustrated in Figure 3.34. The beam is mounted to the wall at A, the arm AB extends in the z direction, and the arm BC extends in the x direction. A BE force E is applied in the z direction at the free-end of the beam. (a) If the lengths of arms AB and BC are a and b, respectively and the magnitude of the applied force is F, observe that the position vector...
2. For the simple beam given below, calculate deflection at (i) 28 mm, and (ii) 6.5...
2. For the simple beam given below, calculate deflection at (i) 28 mm, and (ii) 6.5 cm from the left end of the beam. Young's modulus and moment of inertia of the beam are 125,000 MPa and 3245 mm, respectively. 5N/mm k 3cm * -7cm RA RB
P1 P2 А B a b Moment of Inertia 1=11 Moment of Inertia 2=12 For the Beam Shown: Use the DOUBLE INTEGRAL METHOD to determine the deflection at end in inches. For downward deflection enter a negative value. a-11 ft b5ft Moment of inertia 1-11-1.739 in Moment of Inertia 2-12-2,569 in P1=27kip P2=29 kip E 29,000 ksi
1) The beam shown below is made from an 8 in x 8 in hollow square tube with a wall thickness of 0.5 in The modulus of elasticity of the beam is 10,000 ksi. (a) Identify the individual load cases from the beam tables that should be applied. Draw the deflected shape for each case and clearly show or mark locations where deflection or slope are zero. (b) Evaluate the deflection at point C in inches. [Ans. To check, ve-3.82in...
A steel beam is simply supported over a span of 20 feet and carries a total design point load of 6 kips at the center of the span. The moment of inertia (1) for the beam is 245 in4. Neglecting the beam weight, the maximum load deflection of the beam is with a point load in.(Fill in the blank and show calculation below) Show equation(s) used and calculation(s):
A steel beam is simply supported over a span of 20 feet...
A Semi-infinite beam is loaded by force P at distance a from its
end, as shown in figure. (a) Obtain formulas for deflection, slope,
moment, and shear force, Using the results from part (a), consider
a 2-m-long steel bar (E = 210 GPa) of 75mm´75mm square cross
section that rests with a side on a rubber foundation with a
modulus of k = 24 MPa. If a concentrated load P = 100 kN is applied
at the distance of a...
A steel I-beam with a span of 20 feet will support both a concentrated load of 15 kips at the beam center and a uniformly distributed load of 2 kips/ft along the entire beam length. The steel beam is Grade 50 (Fy= 50,000 psi). i) Calculate for the lightest W-shape section that will safely carry the load, with the depth not to exceed 17 inches. Provide sketches. ii) The analysis is to include (a) bending strength, (b) shear strength, and...
The simply supported beam has length L, elasticity modulus E, and cross-section with moment of inertia I. A concentrated force is applied at half point, as illustrated below 1/2 1/2 o The deflection curve for the the first half of the beam is given by: 21 (2) = + (- +) Obtain the equation for the deflection curve y(x) for L/2 < x < L, where: y2(x) = (Ao + A1 x + A2 x2 + A3 x3) When solving...
pls show work
2. Find the effective moment of inertia for the following concrete sections (f. = 4000 psi) when cracked moment to applied moment ratio is (a) 0.9 (b) 0.7 and (c) 0.5. Note: values are not from an actual beam. Calculate the applied moment if the beam span is 8 ft and (a) the central point load is 8 kip and (b) a UDL of 1 kip/ft is applied. Calculate the deflection due to a point load of...
A simply supported 2 x 4 beam spans 10 feet. It is designed to handle two equal concentrated loads of 200 lbs. The loads occur at 30" from each end. The beam is made of Douglas Fir (Young's Modulus 1.95 x 105 PSI). Assume that the beam is oriented in the proper direction to minimize stress. Don't forget to use actual dimensions instead of nominal dimensions. 2. a. b. c. d. e. Calculate the maximum shear force. Calculate the maximum...
Problem 3.5 Consider the L-shaped beam illustrated in Figure 3.34. The beam is mounted to the wall at A, the arm AB extends in the z direction, and the arm BC extends in the x direction. A BE force E is applied in the z direction at the free-end of the beam. (a) If the lengths of arms AB and BC are a and b, respectively and the magnitude of the applied force is F, observe that the position vector...
2. For the simple beam given below, calculate deflection at (i) 28 mm, and (ii) 6.5 cm from the left end of the beam. Young's modulus and moment of inertia of the beam are 125,000 MPa and 3245 mm, respectively. 5N/mm k 3cm * -7cm RA RB
Most questions answered within 3 hours.
-
Derive the long wavelength limit of the Planck energy density
distribution
asked 25 minutes ago -
Phosphorous + bromine = phosphorous tribromide. If 35.0 g of
bromine are reacted and 27.9 grams...
asked 35 minutes ago -
Calculate the pH of each of the following solutions.
0.50 M HBr
3.1×10−4 M KOH
4.2×10−5...
asked 4 hours ago -
For the year ended December 31, Depot Max’s cost of merchandise
sold was $85,600. Inventory at the...
asked 4 hours ago -
Week 10 - Professional Memo Assignment
Professional Memo Assignment
Your mission for this week, should you...
asked 4 hours ago -
Write a Python program that stores the data for each
player on the team, and it...
asked 4 hours ago -
In
the last 3 months, mike never knows when he is going to get his
allowance...
asked 4 hours ago -
Is Ca(OH)2 a Bronsted base, Lewis base, or both? Why?
asked 4 hours ago -
1A- Why don’t voters complain about U.S. tariffs on imported
sugar?
Because sugar is only a...
asked 4 hours ago -
Cash Payback Period
Primera Banco is evaluating two capital investment proposals for
a drive-up ATM kiosk,...
asked 4 hours ago -
Create a button in Swift (Xcode) that will create a charge,
create a charge using Stripe's...
asked 4 hours ago -
The reaction rate of CO and NO2 in the reaction
CO(g) + NO2(g) → CO2(g) +...
asked 4 hours ago