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For the beam and loading shown below, identify the individual load cases from the beam tables...
For the beam and loading shown in the figure, integrate the load distribution to determine the...
For the beam and loading shown in the figure, integrate the load
distribution to determine the equation of the elastic curve for the
beam, and the maximum deflection for the beam. Assume that
EI is constant for the beam. Assume EI=25000 kN⋅m2, L=2.4
m, and w0=61 kN/m.
(a) Use your equation for the elastic curve to
determine the deflection at x=1.5 m. Enter a negative value if
the deflection is downward, or a positive value if it is
upward.
(b)...
The beam shown below is made from steel with a modulus of elasticity of 10,000 ksi. The section is a rectangular beam t...
The beam shown below is made from steel with a modulus of elasticity of 10,000 ksi. The section is a rectangular beam that is 15" tall and 7" wide. The length of the beam is 30 ft. (a) Identify the individual load cases from the beam tables that should be applied. Draw the deflected 2) shape for each case and clearly show or mark locations where deflection or slope are zero. (b) Evaluate the deflection of the beam at A...
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...
P10.035 (Multistep) For the beam and loading shown, use discontinuity functions to compute (a) th...
P10.035 (Multistep) For the beam and loading shown, use discontinuity functions to compute (a) the deflection of the beam at A and (b) the deflection of the beam at C. Assume a constant value of EI 26000 kN m for the beam. Also, assume P-31 kN, W 23 kN/m, wc -62 kN/m, a -2.1 m, b-3.7 m, and c1.3m WB *Part 1 Calculate the reaction forces B, and D acting on the beam. Positive values for the reactions are indicated...
post only Group#7 Problem 5 (6 marks) For the beam and loading shown, a) Draw the...
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only Group#7
Problem 5 (6 marks) For the beam and loading shown, a) Draw the shear and bending-moment diagrams. b) Determine the maximum absolute value of the shear and bending moment. c) Determine the minimum required depth h of the beam. Knowing that the material used has an ultimate normal and shear stresses, use the given factor of safety in each loading case in the following table. P A LLL Dimensions, material properties and load values are presented in...
The deflection y, in a simple supported beam with a uniform load q and a tensile load T is given by dx2 El 2EI Wher...
The deflection y, in a simple supported beam with a uniform load q and a tensile load T is given by dx2 El 2EI Where x location along the beam, in meter T-Applied Tension E-Young's Modulus of elasticity of the beam 1= Second moment of inertia of the beam Applied uniform loading (N/m), L- length of the beam in meter Given that T-32 kN, q = 945.7 kN/m, L = 2.0 meter, E = 206 GPa and 1 4.99 x...
Use moment distribution method or slope deflection method. The frame shown if Fig. 2.1 is supporting...
Use moment distribution method or slope deflection
method.
The frame shown if Fig. 2.1 is supporting a lateral load of 60 kN and a gravity load of 50 kNIm. Neglect the weight of the members (a) Determine th reaction forces. (b) Draw the axial, shear, and bending moment and qualitative deflected shape diagrams of the frame. Specify values at a change of loading positions and at all points of zero shear and moment. Use slope-deflection method 2m Fig. 2.1 w...
The below wooden double overhanging beam is under a uniformly distributed load W. The wood is...
The below wooden double overhanging beam is under a uniformly distributed load W. The wood is weak along the orientation of the grain (or wood cell fibres) that makes an angle of 30° with the horizontal (see figure). The maximum shear stress on a plane parallel to the grain that the wood can sustain is t,max = 5 MPa, and the maximum normal stress of wood is omax = 25 MPa. The Young modulus of this wood is E=15 GPa....
2. For the beam and loading shown, design the cross section of the beam, knowing that...
2. For the beam and loading shown, design the cross section of the beam, knowing that the grade of timber used has an allowable normal stress of 12 MPa 2.5 KN 2.5 KN 100 mm 6 kN/m 0.6 m 0.6 m 3. Knowing that the allowable normal stress for the steel used is 160 MPa, select the most economical S shape beam to support the loading shown. SO KN 100 kN/m B 0.8m- 1.6 m
(a) Figure Q3 (a) shows a cantilever beam which is carry a load P at point...
(a) Figure Q3 (a) shows a cantilever beam which is carry a load P at point C. (1) Sketch the deflection curve of the beam. (2 marks) t (ii) Derive the bending moment deflection, slope deflection and deflection equation at b-b using Double Integration Method. (10 marks) FIGURE Q3 (a) Calculate the maximum deflection. Given: = 10 m a = 3 m P = 25 KN El is constant d 100 mm D (5 marks) 200 mm t6 mm (b)...
For the beam and loading shown in the figure, integrate the load
distribution to determine the equation of the elastic curve for the
beam, and the maximum deflection for the beam. Assume that
EI is constant for the beam. Assume EI=25000 kN⋅m2, L=2.4
m, and w0=61 kN/m.
(a) Use your equation for the elastic curve to
determine the deflection at x=1.5 m. Enter a negative value if
the deflection is downward, or a positive value if it is
upward.
(b)...
The beam shown below is made from steel with a modulus of elasticity of 10,000 ksi. The section is a rectangular beam that is 15" tall and 7" wide. The length of the beam is 30 ft. (a) Identify the individual load cases from the beam tables that should be applied. Draw the deflected 2) shape for each case and clearly show or mark locations where deflection or slope are zero. (b) Evaluate the deflection of the beam at A...
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...
P10.035 (Multistep) For the beam and loading shown, use discontinuity functions to compute (a) the deflection of the beam at A and (b) the deflection of the beam at C. Assume a constant value of EI 26000 kN m for the beam. Also, assume P-31 kN, W 23 kN/m, wc -62 kN/m, a -2.1 m, b-3.7 m, and c1.3m WB *Part 1 Calculate the reaction forces B, and D acting on the beam. Positive values for the reactions are indicated...
post
only Group#7
Problem 5 (6 marks) For the beam and loading shown, a) Draw the shear and bending-moment diagrams. b) Determine the maximum absolute value of the shear and bending moment. c) Determine the minimum required depth h of the beam. Knowing that the material used has an ultimate normal and shear stresses, use the given factor of safety in each loading case in the following table. P A LLL Dimensions, material properties and load values are presented in...
The deflection y, in a simple supported beam with a uniform load q and a tensile load T is given by dx2 El 2EI Where x location along the beam, in meter T-Applied Tension E-Young's Modulus of elasticity of the beam 1= Second moment of inertia of the beam Applied uniform loading (N/m), L- length of the beam in meter Given that T-32 kN, q = 945.7 kN/m, L = 2.0 meter, E = 206 GPa and 1 4.99 x...
Use moment distribution method or slope deflection
method.
The frame shown if Fig. 2.1 is supporting a lateral load of 60 kN and a gravity load of 50 kNIm. Neglect the weight of the members (a) Determine th reaction forces. (b) Draw the axial, shear, and bending moment and qualitative deflected shape diagrams of the frame. Specify values at a change of loading positions and at all points of zero shear and moment. Use slope-deflection method 2m Fig. 2.1 w...
The below wooden double overhanging beam is under a uniformly distributed load W. The wood is weak along the orientation of the grain (or wood cell fibres) that makes an angle of 30° with the horizontal (see figure). The maximum shear stress on a plane parallel to the grain that the wood can sustain is t,max = 5 MPa, and the maximum normal stress of wood is omax = 25 MPa. The Young modulus of this wood is E=15 GPa....
2. For the beam and loading shown, design the cross section of the beam, knowing that the grade of timber used has an allowable normal stress of 12 MPa 2.5 KN 2.5 KN 100 mm 6 kN/m 0.6 m 0.6 m 3. Knowing that the allowable normal stress for the steel used is 160 MPa, select the most economical S shape beam to support the loading shown. SO KN 100 kN/m B 0.8m- 1.6 m
(a) Figure Q3 (a) shows a cantilever beam which is carry a load P at point C. (1) Sketch the deflection curve of the beam. (2 marks) t (ii) Derive the bending moment deflection, slope deflection and deflection equation at b-b using Double Integration Method. (10 marks) FIGURE Q3 (a) Calculate the maximum deflection. Given: = 10 m a = 3 m P = 25 KN El is constant d 100 mm D (5 marks) 200 mm t6 mm (b)...
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