Geometry and dimensions for the pa spacing, please calculate answers for the questions belovw r plan is shown above. For the loads indicated and beam NOTE: use tables for properties of sections for the nominal size indicated. 1. What is the uniformly distributed load on beam B-1 (plf)? 60 (#/ft) 2, what is the maximum bending moment for the Beam B-1 (ft x #)? 3. What is the maximum bending stress in beam B-1 (psi) 4. What is the maximum shear stress in the beam B-1 (psi)? (e/in) 5. What is the maximum actual deflection in the beam B-1 if E-1,200,000 psi?
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1 PROPERTIES OF STRUCTURAL LUMBER Standard Area of Section Moment of Section inertia modulus Weig...
By assuming P and L calculate the moment of inertia (I1,I2, and I3) and the maximum...
By assuming P and L calculate the moment of inertia
(I1,I2, and I3) and the maximum bending stress as it mentioned
below
THEORETICAL CALCULATION Support Reactions. If P= N and the L. is _mm: a free body diagram of entire beam is shown in Fig. 2 (a) +F;=0; -P+A,+C, =0 L/2 +M = 0; - P(1/2)+C,L=0 L/2 YU L C Region AB AO Shear and Moment Functions. A frec-body diagram of the left segment of the beam is shown in...
u Review Part B - Calculate the moment of inertia Learning Goal: To find the centroid...
u Review Part B - Calculate the moment of inertia Learning Goal: To find the centroid and moment of inertia of an I-beam's cross section, and to use the flexure formula to find the stress at a point on the cross section due to an internal bending moment. Once the position of the centroid is known, the moment of inertia can be calculated. What is the moment of inertia of the section for bending around the z-axis? Express your answer...
PROBLEM 5.53 w=w0(1-1/2 Determine (a) the equations of the shear and bending-moment curves for the beam...
PROBLEM 5.53 w=w0(1-1/2 Determine (a) the equations of the shear and bending-moment curves for the beam and loading shown, (b) the maximum absolute value of the bending moment in the beam. Answ: V(x) = -W. (x-x?/2L- L/3); M(x) = wo (x3/6L – x²/2 +Lx/3); Mmax = 0.0642wol?
Reinforced concrete Problem #1 (40 points): A beam with x-section shown in the figure is made...
Reinforced concrete
Problem #1 (40 points): A beam with x-section shown in the figure is made out of concrete with compressive strength fc = 4000 psi and the steel reinfrocemnt is of Grade 60 (fy 60000psi). Determine 1 The maximum compressive stress in the concrete f and the tensils stress in the steel , if the section is subjected to a bending moment of 130 ft-k (assume n 8) N.A._ 23" 23-х 4 #10 (5.06 in. 3" 18"
4. Use singularity function method to solve the problem. The cantilever beam has modulus of elasticity E and bending moment of inertia I. (1) Draw the free body diagram of the beam (2pts). (2) Fin...
4. Use singularity function method to solve the problem. The cantilever beam has modulus of elasticity E and bending moment of inertia I. (1) Draw the free body diagram of the beam (2pts). (2) Find the reactions at the supports (3pts). (3) Find the loading (intensity of load) of the beam in singularity function form (4 pts). (4) What is the vertical shear function like? (4pts) (5) Houw much is the moment? (4pts) (6) Express the elastic curve of the...
Problem 1. Consider the beam cross sections shown in figures (a) and (b). If the material...
Problem 1. Consider the beam cross sections shown in figures (a) and (b). If the material comprising beams with these cross sections has allowable bending stress Allow = 25000 psi, either in tension or compression, determine the maximum bending moment each beam can carry. Assume elastic behavior. Take D=6 in. Problem 2. The beam shown has the cross-section indicated. Indicate the location along the beam where the maximum and minimum normal stresses occur in the beam. Determine the values of...
Question 1 (6.7 points) AW12 x 50 steel beam is used as a simply supported beam...
Question 1 (6.7 points) AW12 x 50 steel beam is used as a simply supported beam on span of 24 feet. The beam supports a uniformly distributed load of 1000 lb/ft. Calculate the maximum bending stress. a) 9,560 psi Ob) 11,280 psi Oc) 13,460 psi d) none of the above Question 2 (6.7 points) Determine the number of 2 x 12's that need to be nailed together to build a beam that would support a uniform load of 500 lb/ft...
1) Assuming Mcr = 125 k-ft, Ig = 47,250 in4 , Icr = 24,000 in3 , the moment of inertia for calculating a deflection cor...
1) Assuming Mcr = 125 k-ft, Ig = 47,250 in4 , Icr = 24,000 in3 ,
the moment of inertia for calculating a deflection corresponding to
Ma = 200 k-ft, is most nearly:
A. 47,250 in4
B. 24, 000 in4
C. 30,000 in 4
D. 38,500 in 4
E. Other (specify) (g)
2) Assuming ΔD = 0.5 in.; ΔLL = 0.3 in., and ξ = 1.5, the total
deflection of the beam is most nearly:
A. 0.8 in
B. 1.3...
1) (50 pts) On a structural steel I profile beam a distributed load and M moment...
1) (50 pts) On a structural steel I profile beam a distributed load and M moment is applied as shown in the figure. According to given parameters below, please solve the problem with finite element method (ANSYS Student-Structural Module) to determine; a) the maximum bending in mm, b) the average shear stress, c) distributed load plot (F- x plot), d) equivalent stress contour plot, e) total deformation contour plot. (Ebeam=200 GPa, Wo=10 N/m, L=1 m., M=254 N.m, h=154 mm., b=77...
bh 6.0 kips 1 12 1. Determine the shear stress at point H on the cross-section....
bh 6.0 kips 1 12 1. Determine the shear stress at point H on the cross-section. A. 35.3 psi 3 in. B. 40.0 psi x H C. 26.7 psi D. 32.0 psi E. None of the above 7 ft 7 ft 15 in. 3.00 kips 3.00 kips 3.00 3.00 6 in. V Units: kips -3.00 21.00 -3.00 2. Determine the maximum normal stress at the bottom of the beam. A. 1.82 ksi B. 1.12 ksi C. 1.44 ksi D. 1.02...
By assuming P and L calculate the moment of inertia
(I1,I2, and I3) and the maximum bending stress as it mentioned
below
THEORETICAL CALCULATION Support Reactions. If P= N and the L. is _mm: a free body diagram of entire beam is shown in Fig. 2 (a) +F;=0; -P+A,+C, =0 L/2 +M = 0; - P(1/2)+C,L=0 L/2 YU L C Region AB AO Shear and Moment Functions. A frec-body diagram of the left segment of the beam is shown in...
u Review Part B - Calculate the moment of inertia Learning Goal: To find the centroid and moment of inertia of an I-beam's cross section, and to use the flexure formula to find the stress at a point on the cross section due to an internal bending moment. Once the position of the centroid is known, the moment of inertia can be calculated. What is the moment of inertia of the section for bending around the z-axis? Express your answer...
PROBLEM 5.53 w=w0(1-1/2 Determine (a) the equations of the shear and bending-moment curves for the beam and loading shown, (b) the maximum absolute value of the bending moment in the beam. Answ: V(x) = -W. (x-x?/2L- L/3); M(x) = wo (x3/6L – x²/2 +Lx/3); Mmax = 0.0642wol?
Reinforced concrete
Problem #1 (40 points): A beam with x-section shown in the figure is made out of concrete with compressive strength fc = 4000 psi and the steel reinfrocemnt is of Grade 60 (fy 60000psi). Determine 1 The maximum compressive stress in the concrete f and the tensils stress in the steel , if the section is subjected to a bending moment of 130 ft-k (assume n 8) N.A._ 23" 23-х 4 #10 (5.06 in. 3" 18"
4. Use singularity function method to solve the problem. The cantilever beam has modulus of elasticity E and bending moment of inertia I. (1) Draw the free body diagram of the beam (2pts). (2) Find the reactions at the supports (3pts). (3) Find the loading (intensity of load) of the beam in singularity function form (4 pts). (4) What is the vertical shear function like? (4pts) (5) Houw much is the moment? (4pts) (6) Express the elastic curve of the...
Problem 1. Consider the beam cross sections shown in figures (a) and (b). If the material comprising beams with these cross sections has allowable bending stress Allow = 25000 psi, either in tension or compression, determine the maximum bending moment each beam can carry. Assume elastic behavior. Take D=6 in. Problem 2. The beam shown has the cross-section indicated. Indicate the location along the beam where the maximum and minimum normal stresses occur in the beam. Determine the values of...
Question 1 (6.7 points) AW12 x 50 steel beam is used as a simply supported beam on span of 24 feet. The beam supports a uniformly distributed load of 1000 lb/ft. Calculate the maximum bending stress. a) 9,560 psi Ob) 11,280 psi Oc) 13,460 psi d) none of the above Question 2 (6.7 points) Determine the number of 2 x 12's that need to be nailed together to build a beam that would support a uniform load of 500 lb/ft...
1) Assuming Mcr = 125 k-ft, Ig = 47,250 in4 , Icr = 24,000 in3 ,
the moment of inertia for calculating a deflection corresponding to
Ma = 200 k-ft, is most nearly:
A. 47,250 in4
B. 24, 000 in4
C. 30,000 in 4
D. 38,500 in 4
E. Other (specify) (g)
2) Assuming ΔD = 0.5 in.; ΔLL = 0.3 in., and ξ = 1.5, the total
deflection of the beam is most nearly:
A. 0.8 in
B. 1.3...
1) (50 pts) On a structural steel I profile beam a distributed load and M moment is applied as shown in the figure. According to given parameters below, please solve the problem with finite element method (ANSYS Student-Structural Module) to determine; a) the maximum bending in mm, b) the average shear stress, c) distributed load plot (F- x plot), d) equivalent stress contour plot, e) total deformation contour plot. (Ebeam=200 GPa, Wo=10 N/m, L=1 m., M=254 N.m, h=154 mm., b=77...
bh 6.0 kips 1 12 1. Determine the shear stress at point H on the cross-section. A. 35.3 psi 3 in. B. 40.0 psi x H C. 26.7 psi D. 32.0 psi E. None of the above 7 ft 7 ft 15 in. 3.00 kips 3.00 kips 3.00 3.00 6 in. V Units: kips -3.00 21.00 -3.00 2. Determine the maximum normal stress at the bottom of the beam. A. 1.82 ksi B. 1.12 ksi C. 1.44 ksi D. 1.02...
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