Homework #4Please label all answers For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b)determine the maximum absolute values of the shear and bending moment. Given thatP=60KN, and q=25kN/m.Solution:1. FBD for entire beam:a. There arestaticallysupports on the beam, all together there areb. Sum moment about point+c. Sum all the horizonal forces to zero, solve that Ax =MA.right=1solve that B, =d. Sum all the vertical forces to zero, solve that Ay =2. Shear and bending-moment diagramsa. From A to C: (assume that the distance from A to the cut section is x in meter)1). Sum all the tangential forces to zero, solve that V =kNm;KN; direction is pointing to thekNm;kN; direction is pointing to thereactions on the supports, for a 2D body, this isKN; direction is pointing to theKN; direction is pointing to theMc,leftb. From C to D: (assume that the distance from A to the cut section is x in meter)2m-2). Sum moment about point A, solve that bending moment MAC =x kNm; direction is pointing to the; particularlly, bending moment at the right of A and left side of B are: (numbers.only, no sense)→1 m+◆-2m-B b. From C to D: (assume that the distance from A to the cut section is x in meter)1). Sum all the tangential forces to zero, solve that V =Q2). Sum moment about point A, solve that bending moment McDtheMc.rightVD,rightVB,leftMD,leftc. From D to B: (assume that the distance from A to the cut section is x in meter)1). Sum all the tangential forces to zero, solve that V ====MD,rightH x kNm; direction is pointing to; particularlly, bending moment at the right of A and left side of B are: (numbers only, no sense)kNm;kNm;kNm; direction is pointing to thekNm; direction is pointing to the2). Sum moment about point A, solve that bending moment MDBis pointing to thesense)kNm;MB,left3. Max shear and bending-moment through the beam1). The maximum shear occurs to theKN; direction is pointing to thekNm;→◆→of point+ ; particularlly, bending moment at the right of A and left side of B are: (numbers only, nox kN; direction is pointing to the++X-→ which is equal tokN;x^2 kNm; direction

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For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment. Given that P=60KN, and q=25kN/m. Solution: 1. FBD for entire beam: a. There are statically supports on the beam, all together there are ◆ b. Sum moment about point I solve that By = c. Sum all the horizonal forces to zero, solve that Ax = d. Sum all the vertical forces to zero, solve that Ay = kN; direction is pointing to the kN; direction is pointing to the -2 m kN; direction is pointing to the reactions on the supports, for a 2D body, this is a mim. B → 1m -2m-

For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment. Given that P=60KN, and q=25kN/m. Solution: 1. FBD for entire beam: a. There are statically supports on the beam, all together there are ◆ b. Sum moment about point I solve that By = c. Sum all the horizonal forces to zero, solve that Ax = d. Sum all the vertical forces to zero, solve that Ay = kN; direction is pointing to the kN; direction is pointing to the -2 m kN; direction is pointing to the reactions on the supports, for a 2D body, this is a mim. B → 1m -2m-

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Homework #4 Please label all answers

For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b)
determine the maximum absolute values of the shear and bending moment. Given that
P=60KN, and q=25kN/m.
Solution:
1. FBD for entire beam:
a. There are
statically
supports on the beam, all together there are
b. Sum moment about point
+
c. Sum all the horizonal forces to zero, solve that Ax =
MA.right
=
1
solve that B, =
d. Sum all the vertical forces to zero, solve that Ay =
2. Shear and bending-moment diagrams
a. From A to C: (assume that the distance from A to the cut section is x in meter)
1). Sum all the tangential forces to zero, solve that V =
kNm;
KN; direction is pointing to the
kNm;
kN; direction is pointing to the
reactions on the supports, for a 2D body, this is
KN; direction is pointing to the
KN; direction is pointing to the
Mc,left
b. From C to D: (assume that the distance from A to the cut section is x in meter)
2m-
2). Sum moment about point A, solve that bending moment MAC =
x kNm; direction is pointing to the
; particularlly, bending moment at the right of A and left side of B are: (numbers.only, no sense)
→
1 m
+
◆
-2m-
B

b. From C to D: (assume that the distance from A to the cut section is x in meter)
1). Sum all the tangential forces to zero, solve that V =
Q
2). Sum moment about point A, solve that bending moment McD
the
Mc.right
VD,right
VB,left
MD,left
c. From D to B: (assume that the distance from A to the cut section is x in meter)
1). Sum all the tangential forces to zero, solve that V =
=
=
=
MD,right
H x kNm; direction is pointing to
; particularlly, bending moment at the right of A and left side of B are: (numbers only, no sense)
kNm;
kNm;
kNm; direction is pointing to the
kNm; direction is pointing to the
2). Sum moment about point A, solve that bending moment MDB
is pointing to the
sense)
kNm;
MB,left
3. Max shear and bending-moment through the beam
1). The maximum shear occurs to the
KN; direction is pointing to the
kNm;
→
◆
→
of point
+ ; particularlly, bending moment at the right of A and left side of B are: (numbers only, no
x kN; direction is pointing to the
+
+
X-
→ which is equal to
kN;
x^2 kNm; direction

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