Vector Mechanics for Engineers: Statics and Dynamics

Ferdinand P. Beer, E. Russell Johnston, Jr.,David F. Mazurek, Phillip J. Cornwell, Brian P. Self

Chapter 6

Analysis of Structures - all with Video Answers

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Section 1

Analysis of Trusses

Problem 1

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Sriram Soundarrajan

Sriram Soundarrajan

Numerade Educator

Problem 2

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Vipender Yadav

Numerade Educator

Problem 3

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Vipender Yadav

Numerade Educator

Problem 4

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Vipender Yadav

Numerade Educator

Problem 5

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 6

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Sriram Soundarrajan

Sriram Soundarrajan

Numerade Educator

Problem 7

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Vipender Yadav

Numerade Educator

Problem 8

Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

Sriram Soundarrajan

Sriram Soundarrajan

Numerade Educator

Problem 9

Determine the force in each member of the truss shown. State whether each member is in tension or compression.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 10

Determine the force in each member of the truss shown. State whether each member is in tension or compression.

Sheh Lit Chang

University of Washington

Problem 11

Determine the force in each member of the Gambrel roof truss shown. State whether each member is in tension or compression.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 12

Determine the force in each member of the Howe roof truss shown. State whether each member is in tension or compression.

Keshav Singh

Numerade Educator

Problem 13

Determine the force in each member of the roof truss shown. State whether each member is in tension or compression.

Keshav Singh

Numerade Educator

Problem 14

Determine the force in each member of the Fink roof truss shown. State whether each member is in tension or compression.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 15

Determine the force in each member of the Warren bridge truss shown. State whether each member is in tension or compression.

Vipender Yadav

Numerade Educator

Problem 16

Solve Prob. 6.15 assuming that the load applied at $E$ has been removed.

Vipender Yadav

Numerade Educator

Problem 17

Determine the force in each member of the Pratt roof truss shown. State whether each member is in tension or compression.

Vipender Yadav

Numerade Educator

Problem 18

The truss shown is one of several supporting an advertising panel. Determine the force in each member of the truss for a wind load equivalent to the two forces shown. State whether each member is in tension or compression.

Keshav Singh

Numerade Educator

Problem 19

Determine the force in each member of the Pratt bridge truss shown. State whether each member is in tension or compression.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 20

Solve Prob. 6.19 assuming that the load applied at $G$ has been removed.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 21

Determine the force in each of the members located to the left of $F G$ for the scissors roof truss shown. State whether each member is in tension or compression.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 22

Determine the force in member $D E$ and in each of the members located to the left of $D E$ for the inverted Howe roof truss shown. State whether each member is in tension or compression.

Vipender Yadav

Numerade Educator

Problem 23

Determine the force in each of the members located to the right of $D E$ for the inverted Howe roof truss shown. State whether each member is in tension or compression.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 24

The portion of truss shown represents the upper part of a power transmission line tower. For the given loading, determine the force in each of the members located above $H J$. State whether each member is in tension or compression.

Keshav Singh

Numerade Educator

Problem 25

For the tower and loading of Prob. 6.24 and knowing that $F_{C H}=$
$F_{E J}=1.2 \mathrm{kN} C$ and $F_{E H}=0$, determine the force in member $H J$ and in each of the members located between $H J$ and $N O .$ State whether each member is in tension or compression.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 26

Solve Prob. 6.24 assuming that the cables hanging from the right side of the tower have fallen to the ground.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 27

Solve Prob. 6.24 assuming that the cables hanging from the right side of the tower have fallen to the ground.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 28

Solve Prob. 6.24 assuming that the cables hanging from the right side of the tower have fallen to the ground.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 29

Determine whether the trusses of Probs. $6.31 a, 6.32 a$, and $6.33 a$ are simple trusses.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 30

Determine whether the trusses of Probs. $6.31 b, 6.32 b,$ and $6.33 b$ are
simple trusses.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 31

For the given loading, determine the zero-force members in each of the two trusses shown.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 32

For the given loading, determine the zero-force members in each of the two trusses shown.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 33

For the given loading, determine the zero-force members in each of the two trusses shown.

Keshav Singh

Numerade Educator

Problem 34

Determine the zero-force members in the truss of $(a)$ Prob. 6.21 , (b) Prob. $6.27 .$

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 35

The truss shown consists of six members and is supported by a short link at $A,$ two short links at $B$, and a ball-and-socket at $D$. Determine the force in each of the members for the given loading.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 36

The truss shown consists of six members and is supported by a ball-and-socket at $B,$ a short link at $C,$ and two short links at $D$. Determine the force in each of the members for $\mathbf{P}=(-2184 \mathrm{N}) \mathrm{j}$ and $\mathbf{Q}=0$

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 37

The truss shown consists of six members and is supported by a ball-and-socket at $B,$ a short link at $C,$ and two short links at $D$. Determine the force in each of the members for $P=0$ and $Q=(2968 \mathrm{N})$ i.

Keshav Singh

Numerade Educator

Problem 38

The truss shown consists of nine members and is supported by a ball-and-socket at $A,$ two short links at $B,$ and a short link at $C .$ Determine the force in each of the members for the given loading.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 39

The truss shown consists of nine members and is supported by a ball- and-socket at $B,$ a short link at $C,$ and two short links at $D .(a)$ Check that this truss is a simple truss, that it is completely constrained, and that the reactions at its supports are statically determinate. $(b)$ Determine the force in each member for $\mathbf{P}=(-1200 \mathrm{N}) \mathrm{j}$ and $\mathbf{Q}=0$.

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 40

Solve Prob. 6.39 for $\mathbf{P}=0$ and $\mathbf{Q}=(-900 \mathrm{N}) \mathbf{k}$

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 41

The truss shown consists of 18 members and is supported by a ball-and-socket at $A,$ two short links at $B,$ and one short link at $G .$ (a) Check that this truss is a simple truss, that it it is completely constrained, and that the reactions at its supports are statically determinate. $(b)$ For the given loading, determine the force in each of the six members joined at $E .$

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator

Problem 42

The truss shown consists of 18 members and is supported by a ball-and-socket at $A,$ two short links at $B$, and one short link at $G$. (a) Check that this truss is a simple truss, that it it is completely constrained, and that the reactions at its supports are statically determinate. $(b)$ For the given loading, determine the force in each of the six members joined at $G .$

Sajay Krishnan Paruthiyil

Sajay Krishnan Paruthiyil

Numerade Educator