a. Draw a complete free-body diagram for the beam shown in Fig. 1. Must show and label x-y coordinate system, support reactions, loads, and dimensions
b. Derive formulas for all support reactions using conditions of equilibrium. Must show all work.
c. Using the student variables shown below, calculate beam support reactions and draw shear and bending moment diagrams. To receive full credit, support reactions and loads must be shown on a free-body diagram. Each shear and bending moment diagram must include a title with appropriate units, must show all significant values, for example, maximum/minimum points, zero points, etc., and must clearly depict areas of positive/negative shear and positive/negative bending moment.
a = 10 [ft], b = 5 [ft], w1 = 20 [lb/ft], w0 = 0 [lb/ft] and M = 200 [lb-ft]
Homework Answers
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a. Draw a complete free-body diagram for the beam shown in Fig.
1. Must show and...
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...
The cantilever beam shown is subjected to a moment at A and a distributed load that...
The cantilever beam shown is subjected to a moment at A and a
distributed load that acts over segment BC, and is fixed at C.
Determine the reactions at the support located at C. Then write
expressions for shear and bending moment as a function of their
positions along the beam. Finally, use these expressions to
construct shear and bending moment diagrams.
Part A - Reactions at support C
Draw a free-body diagram of the beam on paper. Use your...
beam problem QUESTION 6: Draw the free body diagram of the beam shown below and determine...
beam problem
QUESTION 6: Draw the free body diagram of the beam shown below and determine the reactions and formulate the shear-force and bending moment equations for the beam. Sketch the shear and moment diagrams: Type your answers and intermediate calculations on the screen on the blackboard 400 N 100 N/m A 4 m 4 m
Solve: Draw the free body diagram, solve the reaction, shear and bending moment diagrams. Show all...
Solve: Draw the free body diagram, solve the reaction, shear and bending moment diagrams. Show all of the work 150 Lb/ft 30,000 ft Lb 10,000 ft Lb 7 ft A 8ft 9 ft
To determine the reactive forces and moments acting on a beam;express the shear and bending...
To determine the reactive forces and moments acting on a beam;
express the shear and bending moment as functions of their
positions along the beam; and construct shear and bending moment
diagrams. The cantilever beam shown is subjected to a moment at A
and a distributed load that acts over segment BC, and is fixed at
C. Determine the reactions at the support located at C. Then write
expressions for shear and bending moment as a function of their
positions...
The cantilever beam shown is subjected to a moment at A and a distributed load that...
The cantilever beam shown is subjected to a moment at A
and a distributed load that acts over segment BC, and is
fixed at C. Determine the reactions at the support located
at C. Then write expressions for shear and bending moment
as a function of their positions along the beam. Finally, use these
expressions to construct shear and bending moment diagrams
Draw a free-body diagram of the beam on paper. Use your
free-body diagram to determine the reactions at...
1. (28 pts) A cantilever beam is subjected to the loads as shown in the figure....
1. (28 pts) A cantilever beam is subjected to the loads as shown in the figure. Va) Draw a free-body diagram and determine the supports at point 0. b) Draw shear and moment diagrams and find the values at key points (i.e. x = 0, 6 and 10 ft). If possible, please show your calculations. c) Find shear force V(x) and bending moment M(x) for () <x<6 ft. 12 10 kip 2 kip/ft skip سے 40 kip.lt 611 4 11...
For the shaft shown on the next page, draw the free body diagram of just the...
For the shaft shown on the next page, draw the free body diagram
of just the shaft (isolated from the pulleys) including directions
and values of all reaction loads at the self-aligning bearings A
and B. Once complete, directly under your FBD, draw the shear force
diagram (SFD), bending moment diagram (BMD) and torque diagram (TD)
for the shaft with all important values shown on the figures.
Directions are critical and you must show your axes (choose). Note,
in this...
For the shaft shown below, draw the free body diagram of just the shaft (isolated from...
For the shaft shown below, draw the free body diagram of just
the shaft (isolated from the pulley) including directions and
values of all reaction loads at the self-aligning bearings A and B.
Once complete, directly under your FBD, draw the shear force
diagram (SFD), bending moment diagram (BMD) and torque diagram (TD)
with all important values shown on the figures. Directions are
critical and you must show your axes (choose).
B 100 Free end of shaft 20-mm- dia. shaft...
Draw a free-body diagram of the segment 8≤x<14 m where x is in meters on paper....
Draw a free-body diagram of the segment 8≤x<14 m
where x is in meters on paper. Write expressions for the
internal shear, V, and moment, M,
over this segment. (the answer requires x)
Learning Goal: To determine all of the reactive forces and moments acting on a beam, express the shear and bending moment as functions of their positions along the beam, and construct shear and bending moment diagrams. The cantilever beam shown is subjected to a moment at A...
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...
The cantilever beam shown is subjected to a moment at A and a
distributed load that acts over segment BC, and is fixed at C.
Determine the reactions at the support located at C. Then write
expressions for shear and bending moment as a function of their
positions along the beam. Finally, use these expressions to
construct shear and bending moment diagrams.
Part A - Reactions at support C
Draw a free-body diagram of the beam on paper. Use your...
beam problem
QUESTION 6: Draw the free body diagram of the beam shown below and determine the reactions and formulate the shear-force and bending moment equations for the beam. Sketch the shear and moment diagrams: Type your answers and intermediate calculations on the screen on the blackboard 400 N 100 N/m A 4 m 4 m
Solve: Draw the free body diagram, solve the reaction, shear and bending moment diagrams. Show all of the work 150 Lb/ft 30,000 ft Lb 10,000 ft Lb 7 ft A 8ft 9 ft
To determine the reactive forces and moments acting on a beam;
express the shear and bending moment as functions of their
positions along the beam; and construct shear and bending moment
diagrams. The cantilever beam shown is subjected to a moment at A
and a distributed load that acts over segment BC, and is fixed at
C. Determine the reactions at the support located at C. Then write
expressions for shear and bending moment as a function of their
positions...
The cantilever beam shown is subjected to a moment at A
and a distributed load that acts over segment BC, and is
fixed at C. Determine the reactions at the support located
at C. Then write expressions for shear and bending moment
as a function of their positions along the beam. Finally, use these
expressions to construct shear and bending moment diagrams
Draw a free-body diagram of the beam on paper. Use your
free-body diagram to determine the reactions at...
1. (28 pts) A cantilever beam is subjected to the loads as shown in the figure. Va) Draw a free-body diagram and determine the supports at point 0. b) Draw shear and moment diagrams and find the values at key points (i.e. x = 0, 6 and 10 ft). If possible, please show your calculations. c) Find shear force V(x) and bending moment M(x) for () <x<6 ft. 12 10 kip 2 kip/ft skip سے 40 kip.lt 611 4 11...
For the shaft shown on the next page, draw the free body diagram
of just the shaft (isolated from the pulleys) including directions
and values of all reaction loads at the self-aligning bearings A
and B. Once complete, directly under your FBD, draw the shear force
diagram (SFD), bending moment diagram (BMD) and torque diagram (TD)
for the shaft with all important values shown on the figures.
Directions are critical and you must show your axes (choose). Note,
in this...
For the shaft shown below, draw the free body diagram of just
the shaft (isolated from the pulley) including directions and
values of all reaction loads at the self-aligning bearings A and B.
Once complete, directly under your FBD, draw the shear force
diagram (SFD), bending moment diagram (BMD) and torque diagram (TD)
with all important values shown on the figures. Directions are
critical and you must show your axes (choose).
B 100 Free end of shaft 20-mm- dia. shaft...
Draw a free-body diagram of the segment 8≤x<14 m
where x is in meters on paper. Write expressions for the
internal shear, V, and moment, M,
over this segment. (the answer requires x)
Learning Goal: To determine all of the reactive forces and moments acting on a beam, express the shear and bending moment as functions of their positions along the beam, and construct shear and bending moment diagrams. The cantilever beam shown is subjected to a moment at A...
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