For a constant EI (use EI as a constant in your answer):
a. Determine the reactions RA and RC and draw the shear force diagram (SFD) and the bending moment diagram (BMD). See image below.
b. Determine the slope at A (θA) and the deflection at B (ΔB) using the Moment-Area Method.
c. Determine the equation of the elastic curve, y(x), using the Integration Method.
Homework Answers
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For a constant EI (use EI as a constant in
your answer):
a. Determine the reactions...
Structural Analysis: Homewo Problem 3.2-10: For the given structures with a constant El and loadings; a)...
Structural Analysis: Homewo Problem 3.2-10: For the given structures with a constant El and loadings; a) Draw SFD and BMD b) Determine the equation of the elastic curve, y(x) using the integration method c) Determine the slope angle and deflection shown on the right Problem 3.9 60 kN-m Internal hinge Left and right side of Op and Δ 3 m 3 m 3 m Problem 3.10: 10 k 0p and Ac Internal hinge 10 ft 10 ft 10 ft
Determine the reactions and construct final and shear diagrams for the structure. EI is constant. Use a) consistent def...
Determine the reactions and construct final and shear diagrams
for the structure. EI is constant.
Use a) consistent deformation method and b) Castigliano’s
method
Determine the reactions, and construct the final shear and moment diagrams for the loading given. The quantity El is the same for each span. 500 kN ay 4 7.5 m 10 m 15m 10m-
Determine the reactions, and construct the final shear and moment diagrams for the loading given. The quantity El is the same for...
Determine the reactions and moments using Slope-deflection method and draw V, M diagram SITUATION 너-B 28...
Determine the reactions and moments using
Slope-deflection method and draw V, M diagram
SITUATION 너-B 28 KN y1KH 38 KN/m 1.5T 2/KN-n 1m, 2m SLOPE- DEFLECTION METHOD: DETERMINE THE REACTIONS AND MOMENTS, AND DRAW SHEAR AND MOMENT DIAGRAM SOLUTION
Determine the reactions and moments using Slope-deflection method and draw V, M diagram SITDATION 1.B 38...
Determine the reactions and moments using
Slope-deflection method and draw V, M diagram
SITDATION 1.B 38 KN/m 58KN/m 2 SLOPE-DEFLECTION METHOD: DETERMINE THE REACTIONS AND MOMENTS. AND DRAW SHEAR AND MOMENT DIAGRAM
Please make sure your handwriting is clear and readable. Thank you. :) 1. Determine the reactions...
Please make sure your handwriting is clear and readable. Thank
you. :)
1. Determine the reactions and draw the shear and bending moment diagrams for the shown beam using slope-deflection method. 20 kN/m 60 KN El = constant E = 70 GPa 1 = 800 ( 1 00) mm4
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1 Use the Slop...
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1
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.
Determine the reactions and moments using Slope-deflection method and draw V, M diagram 3I TUATION 3.B...
Determine the reactions and moments using
Slope-deflection method and draw V, M diagram
3I TUATION 3.B 88 KN/m 5/ KN 41 KN/m 21-5 mD6m E 2I 5I SLOPE-DEFLECTON METHOD : DETERMINE THE REACTIONS AND MOMENTS,AND-、 DRAW-THE-SHEAR-AND-MOMENT DIAG RAM SO LUTİON
For the beam shown below, find the maximum bending stress and maximum transverse shear stress. That...
For the beam shown below, find the maximum bending stress and maximum transverse shear stress. That is, carry out load and stress analyses in the following order. Load Analysis Draw the load diagram or free body diagram (FBD) and determine the support reactions. Show your calculations. • Draw the shear force diagram (SFD). Show your calculations. Draw the bending moment diagram (BMD). Show your calculations. Stress Analysis Identify the critical section(s) and determine the maximum normal (bending) stress at the...
Question 1: Consider the beam below. Please use the table below to determine the appropriate valu...
Question 1: Consider the beam below. Please use the table below to determine the appropriate values for your question. The effects of self-weight are negligible compared to effects of the applied loading. Draw the bending moment diagram (BMD) and shear force diagram (SFD), clearly indicating the values of V & Mat A, B, C, & D Also show the location(s) and value(s) of maximum sagging and/or hogging moment. Include your working. L2 L3 Group 2A Li (mm) w (kN/m)P (kN)...
Structural Analysis: Homewo Problem 3.2-10: For the given structures with a constant El and loadings; a) Draw SFD and BMD b) Determine the equation of the elastic curve, y(x) using the integration method c) Determine the slope angle and deflection shown on the right Problem 3.9 60 kN-m Internal hinge Left and right side of Op and Δ 3 m 3 m 3 m Problem 3.10: 10 k 0p and Ac Internal hinge 10 ft 10 ft 10 ft
Determine the reactions and construct final and shear diagrams
for the structure. EI is constant.
Use a) consistent deformation method and b) Castigliano’s
method
Determine the reactions, and construct the final shear and moment diagrams for the loading given. The quantity El is the same for each span. 500 kN ay 4 7.5 m 10 m 15m 10m-
Determine the reactions, and construct the final shear and moment diagrams for the loading given. The quantity El is the same for...
Determine the reactions and moments using
Slope-deflection method and draw V, M diagram
SITUATION 너-B 28 KN y1KH 38 KN/m 1.5T 2/KN-n 1m, 2m SLOPE- DEFLECTION METHOD: DETERMINE THE REACTIONS AND MOMENTS, AND DRAW SHEAR AND MOMENT DIAGRAM SOLUTION
Determine the reactions and moments using
Slope-deflection method and draw V, M diagram
SITDATION 1.B 38 KN/m 58KN/m 2 SLOPE-DEFLECTION METHOD: DETERMINE THE REACTIONS AND MOMENTS. AND DRAW SHEAR AND MOMENT DIAGRAM
Please make sure your handwriting is clear and readable. Thank
you. :)
1. Determine the reactions and draw the shear and bending moment diagrams for the shown beam using slope-deflection method. 20 kN/m 60 KN El = constant E = 70 GPa 1 = 800 ( 1 00) mm4
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1
Determine the reactions and moments using
Slope-deflection method and draw V, M diagram
3I TUATION 3.B 88 KN/m 5/ KN 41 KN/m 21-5 mD6m E 2I 5I SLOPE-DEFLECTON METHOD : DETERMINE THE REACTIONS AND MOMENTS,AND-、 DRAW-THE-SHEAR-AND-MOMENT DIAG RAM SO LUTİON
For the beam shown below, find the maximum bending stress and maximum transverse shear stress. That is, carry out load and stress analyses in the following order. Load Analysis Draw the load diagram or free body diagram (FBD) and determine the support reactions. Show your calculations. • Draw the shear force diagram (SFD). Show your calculations. Draw the bending moment diagram (BMD). Show your calculations. Stress Analysis Identify the critical section(s) and determine the maximum normal (bending) stress at the...
Question 1: Consider the beam below. Please use the table below to determine the appropriate values for your question. The effects of self-weight are negligible compared to effects of the applied loading. Draw the bending moment diagram (BMD) and shear force diagram (SFD), clearly indicating the values of V & Mat A, B, C, & D Also show the location(s) and value(s) of maximum sagging and/or hogging moment. Include your working. L2 L3 Group 2A Li (mm) w (kN/m)P (kN)...
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