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14-1. For the beam shown in the figure, a) b) c) d) Find the magnitude and...
Problem 2. A concrete beam is reinforced by three steel rebars placed as shown. The modulus...
Problem 2. A concrete beam is reinforced by three steel rebars placed as shown. The modulus of elasticity is 3x106 psi for concrete and 29x106 psi for steel. Find the tensile stress in rebars and maximum compressive stress in concrete under an external bending moment of (a) 80 kip.in and (b) 240 kip.in. Given the compressive strength of concrete fe' = 3 ksi and yield stress of rebars fy = 60 ksi, discuss the state of crack in concrete and...
The built-up beam is made of steel as shown in Figure 1. Knowing that modulus of...
The built-up beam is made of steel as shown in Figure 1. Knowing that modulus of elasticity for the steel is E = 200 GPa 150 mm 20 mm 150 mm 150 mm 10 mm M '10 mm 300 mm А Figure 1 (1) If the allowable tensile and compressive stress for the beam are allow tension = 140 MPa and o = 210 MPa. allow compression respectively, determine the maximum allowable internal moment M that can be applied Determine...
Select a suitable wide flange section to support the beam loads shown in the figure below....
Select a suitable wide flange section to support the beam loads shown in the figure below. Use ASTM A992 steel and allowable stresses of 0.66 Sy for bending and 0.40 Sy for shear. Be sure to generate a list of candidate beams from which, you will choose the lightest. Determine the factor of safety in bending for the beam you select. Find the deflection at the end of the overhang using the beam you selected. What is the total weight...
3. A 16-foot-long single overhang steel beam is loaded as shown. Assuming a W8 x 35...
3. A 16-foot-long single overhang steel beam is loaded as shown. Assuming a W8 x 35 section, determine the maximum bending stress developed. (A992 steel, Fb-30 ksi) (25 points) Gk INSTRUCTIONS For PROBLEM do the following steps: 1. Show ALL your work 2. Draw appropriately labeled FBDs 3. Use appropriate segments to develop expressions for the shear force and bending moment. diagrams in a standard format the required stresses in the critical points in the 4. Draw the shear force...
1. Reinforced Rectangular Concrete Beam The reinforced concrete beam shown is subjected to a bending moment...
1. Reinforced Rectangular Concrete Beam The reinforced concrete beam shown is subjected to a bending moment of 200 kip ft. Knowing that the modulus of elasticity for the concrete and the steel are respectively Ec= 3.75 X 10 psi and Es = 30 x 10 psi, determine the tensile stress in [ksh] that develops in the steel bars. 20 in 1 in diameter 72.5 in 12 in-
no. 4 The bending moment of a beam (A) depends on the modulus of elasticity of...
no. 4
The bending moment of a beam (A) depends on the modulus of elasticity of the beam (B) is minimum where the shear is zero (C) is maximum at the free end of a cantilever (D) is plotted as a straight line for a simple beam with a uniformly distributed load (E) may be determined from the area of the shear diagram The offset method is used to find a property of metals that do not have a well-defined...
20 KN 20 kN/m From the figure load given, the beam AB is I profile (S...
20 KN 20 kN/m From the figure load given, the beam AB is I profile (S shape, American standard, see appendix) Determine: a) The support force A and C. b) Draw the shear force and bending moment diagram. Write down the value on your diagram c) Determine the size of the I beam, write down (or mark on the I beam table in appendix) the type you choose to the nearest calculation. A B 1.5 m 1.5 m 2.2 m...
answered to receive full credit. 3. (20 pts) For the L-section beam as shown in Fig-...
answered to receive full credit. 3. (20 pts) For the L-section beam as shown in Fig- ure 3 which is subjected to a positive bending moment about the z-axis of 90 kN·m, determine 1. (20 pts) Consider the beam with loading shown in Figure 1. (a) Draw the shear and moment diagrams. (a) the location of the centroid (2,P) relative (b) If the beam is constructed from A-36 struc- tural steel, determine the minimum top and bottom section modulii such...
Blem 2. (70 points) 1. For the beam shown in Figure (a): a) b) draw the shear force and bending m...
blem 2. (70 points) 1. For the beam shown in Figure (a): a) b) draw the shear force and bending moment diagrams. (30 points) Select the most economical W shape for the beam with an allowable bending stress of 30 ksi. (10 points) determine the maximum tensile and compressive bending stresses at any location along the beam if the section shown in Figure (b) is used instead of the W shape section selectedin Part b. Would the beam be safe...
a. Draw a free-body diagram for the beam shown above and derive expressions for the support...
a. Draw a free-body diagram for the beam shown above and derive
expressions for the support reactions at A and B
b. Draw internal force (shear and bending moment) diagrams.
c. If a = 10 ft and M0 = 200 ft-lb, use the dimensions of the
beam cross-section, provided on the previous page, to compute the
maximum flexural and shear stresses on the beam cross-section.
d. If the allowable bending stress is 925 psi and the allowable
shear stress is...
Problem 2. A concrete beam is reinforced by three steel rebars placed as shown. The modulus of elasticity is 3x106 psi for concrete and 29x106 psi for steel. Find the tensile stress in rebars and maximum compressive stress in concrete under an external bending moment of (a) 80 kip.in and (b) 240 kip.in. Given the compressive strength of concrete fe' = 3 ksi and yield stress of rebars fy = 60 ksi, discuss the state of crack in concrete and...
The built-up beam is made of steel as shown in Figure 1. Knowing that modulus of elasticity for the steel is E = 200 GPa 150 mm 20 mm 150 mm 150 mm 10 mm M '10 mm 300 mm А Figure 1 (1) If the allowable tensile and compressive stress for the beam are allow tension = 140 MPa and o = 210 MPa. allow compression respectively, determine the maximum allowable internal moment M that can be applied Determine...
Select a suitable wide flange section to support the beam loads shown in the figure below. Use ASTM A992 steel and allowable stresses of 0.66 Sy for bending and 0.40 Sy for shear. Be sure to generate a list of candidate beams from which, you will choose the lightest. Determine the factor of safety in bending for the beam you select. Find the deflection at the end of the overhang using the beam you selected. What is the total weight...
3. A 16-foot-long single overhang steel beam is loaded as shown. Assuming a W8 x 35 section, determine the maximum bending stress developed. (A992 steel, Fb-30 ksi) (25 points) Gk INSTRUCTIONS For PROBLEM do the following steps: 1. Show ALL your work 2. Draw appropriately labeled FBDs 3. Use appropriate segments to develop expressions for the shear force and bending moment. diagrams in a standard format the required stresses in the critical points in the 4. Draw the shear force...
1. Reinforced Rectangular Concrete Beam The reinforced concrete beam shown is subjected to a bending moment of 200 kip ft. Knowing that the modulus of elasticity for the concrete and the steel are respectively Ec= 3.75 X 10 psi and Es = 30 x 10 psi, determine the tensile stress in [ksh] that develops in the steel bars. 20 in 1 in diameter 72.5 in 12 in-
no. 4
The bending moment of a beam (A) depends on the modulus of elasticity of the beam (B) is minimum where the shear is zero (C) is maximum at the free end of a cantilever (D) is plotted as a straight line for a simple beam with a uniformly distributed load (E) may be determined from the area of the shear diagram The offset method is used to find a property of metals that do not have a well-defined...
20 KN 20 kN/m From the figure load given, the beam AB is I profile (S shape, American standard, see appendix) Determine: a) The support force A and C. b) Draw the shear force and bending moment diagram. Write down the value on your diagram c) Determine the size of the I beam, write down (or mark on the I beam table in appendix) the type you choose to the nearest calculation. A B 1.5 m 1.5 m 2.2 m...
answered to receive full credit. 3. (20 pts) For the L-section beam as shown in Fig- ure 3 which is subjected to a positive bending moment about the z-axis of 90 kN·m, determine 1. (20 pts) Consider the beam with loading shown in Figure 1. (a) Draw the shear and moment diagrams. (a) the location of the centroid (2,P) relative (b) If the beam is constructed from A-36 struc- tural steel, determine the minimum top and bottom section modulii such...
blem 2. (70 points) 1. For the beam shown in Figure (a): a) b) draw the shear force and bending moment diagrams. (30 points) Select the most economical W shape for the beam with an allowable bending stress of 30 ksi. (10 points) determine the maximum tensile and compressive bending stresses at any location along the beam if the section shown in Figure (b) is used instead of the W shape section selectedin Part b. Would the beam be safe...
a. Draw a free-body diagram for the beam shown above and derive
expressions for the support reactions at A and B
b. Draw internal force (shear and bending moment) diagrams.
c. If a = 10 ft and M0 = 200 ft-lb, use the dimensions of the
beam cross-section, provided on the previous page, to compute the
maximum flexural and shear stresses on the beam cross-section.
d. If the allowable bending stress is 925 psi and the allowable
shear stress is...
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