Engineering Mechanics: Statics

Russell C. Hibbeler

Chapter 6

Structural Analysis - all with Video Answers

Educators

Chapter Questions

Problem 1

Determine the force in each member of the truss and state if the members are in tension or compression. Set $P_{1}=20 \mathrm{kN}, P_{2}=10 \mathrm{kN}$

Gordon Ayadju

Gordon Ayadju

Numerade Educator

Problem 2

Determine the force in each member of the truss and state if the members are in tension or compression. Set $P_{1}=45 \mathrm{kN}, P_{2}=30 \mathrm{kN}$

Gordon Ayadju

Numerade Educator

Problem 3

Determine the force in each member of the truss. State if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 4

Determine the force in each member of the truss and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 5

Determine the force in each member of the truss, and state if the members are in tension or compression. Set $\theta=0^{\circ}$

Gordon Ayadju

Numerade Educator

Problem 6

Determine the force in each member of the truss, and state if the members are in tension or compression. Set $\theta=30^{\circ}$

Gordon Ayadju

Numerade Educator

Problem 7

Determine the force in each member of the truss and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 8

Determine the force in each member of the truss and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 9

Determine the force in each member of the truss and state if the members are in tension or compression. Set $P_{1}=3 \mathrm{kN}, P_{2}=6 \mathrm{kN}$

Gordon Ayadju

Numerade Educator

Problem 10

Determine the force in each member of the truss and state if the members are in tension or compression. Set $P_{1}=6 \mathrm{kN}, P_{2}=9 \mathrm{kN}$

Gordon Ayadju

Numerade Educator

Problem 11

Determine the force in each member of the Pratt truss, and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 12

Determine the force in each member of the truss and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 13

Determine the force in each member of the truss in terms of the load $P$ and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 14

Members $A B$ and $B C$ can each support a maximum compressive force of 800 lb, and members $A D, D C,$ and $B D$ can support a maximum tensile force of 1500 lb. If $a=10 \mathrm{ft}$ determine the greatest load $P$ the truss can support.

Gordon Ayadju

Numerade Educator

Problem 15

Members $A B$ and $B C$ can each support a maximum compressive force of 800 lb, and members $A D, D C,$ and $B D$ can support a maximum tensile force of 2000 lb. If $a=6 \mathrm{ft}$ determine the greatest load $P$ the truss can support.

Rashmi Sinha

Numerade Educator

Problem 16

Determine the force in each member of the truss. State whether the members are in tension or compression. $\operatorname{Set} P=8 \mathrm{kN}$

Gordon Ayadju

Numerade Educator

Problem 17

If the maximum force that any member can support is $8 \mathrm{kN}$ in tension and $6 \mathrm{kN}$ in compression, determine the maximum force $P$ that can be supported at joint $D$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 18

Determine the force in each member of the truss and state if the members are in tension or compression. Set $P_{1}=10 \mathrm{kN}, P_{2}=8 \mathrm{kN}$

Gordon Ayadju

Numerade Educator

Problem 19

Determine the force in each member of the truss and state if the members are in tension or compression. Set $P_{1}=8 \mathrm{kN}, P_{2}=12 \mathrm{kN}$

Gordon Ayadju

Numerade Educator

Problem 20

Determine the force in each member of the truss and state if the members are in tension or compression. Set $P_{1}=9 \mathrm{kN}, P_{2}=15 \mathrm{kN}$

Gordon Ayadju

Numerade Educator

Problem 21

Determine the force in each member of the truss and state if the members are in tension or compression. Set $P_{1}=30 \mathrm{kN}, P_{2}=15 \mathrm{kN}$

Gordon Ayadju

Numerade Educator

Problem 22

Determine the force in each member of the double scissors truss in terms of the load $P$ and state if the members are in tension or compression.

M Hassan Anwar

Numerade Educator

Problem 23

Determine the force in each member of the truss in terms of the load $P$ and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 24

The maximum allowable tensile force in the members of the truss is $\left(F_{t}\right)_{\max }=5 \mathrm{kN},$ and the maximum allowable compressive force is $\left(F_{c}\right)_{\max }=3 \mathrm{kN} .$ Determine the maximum magnitude of load $\mathbf{P}$ that can be applied to the truss. Take $d=2 \mathrm{m}$

Gordon Ayadju

Numerade Educator

Problem 25

Determine the force in each member of the truss in terms of the external loading and state if the members are in tension or compression. Take $P=2 \mathrm{kN}$

Gordon Ayadju

Numerade Educator

Problem 26

The maximum allowable tensile force in the members of the truss is $\left(F_{t}\right)_{\max }=5 \mathrm{kN},$ and the maximum allowable compressive force is $\left(F_{c}\right)_{\max }=3 \mathrm{kN} .$ Determine the maximum magnitude $P$ of the two loads that can be applied to the truss.

Gordon Ayadju

Numerade Educator

Problem 27

Determine the force in members $D C, H C,$ and $H I$ of the truss, and state if the members are in tension or compression.

M Hassan Anwar

Numerade Educator

Problem 28

Determine the force in members $E D, E H,$ and $G H$ of the truss, and state if the members are in tension or compression.

M Hassan Anwar

Numerade Educator

Problem 29

Determine the force in members $H G, H E$ and $D E$ of the truss, and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 30

Determine the force in members $C D, H I,$ and $C H$ of the truss, and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 31

Determine the force in members $C D, C J, K J,$ and $D J$ of the truss which serves to support the deck of a bridge. State if these members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 32

Determine the force in members $E I$ and $J I$ of the truss which serves to support the deck of a bridge. State if these members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 33

The Howe truss is subjected to the loading shown. Determine the force in members $G F, C D,$ and $G C,$ and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 34

The Howe truss is subjected to the loading shown. Determine the force in members $G H, B C,$ and $B G$ of the truss and state if the members are in tension or compression.

Rashmi Sinha

Numerade Educator

Problem 35

Determine the force in members $E F, C F,$ and $B C$ and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 36

Determine the force in members $A F, B F,$ and $B C$ and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 37

Determine the force in members $E F, B E, B C$ and $B F$ of the truss and state if these members are in tension or compression. Set $P_{1}=9 \mathrm{kN}, P_{2}=12 \mathrm{kN},$ and $P_{3}=6 \mathrm{kN}$

Gordon Ayadju

Numerade Educator

Problem 38

Determine the force in members $B C, B E,$ and $E F$ of the truss and state if these members are in tension or compression. Set $P_{1}=6 \mathrm{kN}, P_{2}=9 \mathrm{kN},$ and $P_{3}=12 \mathrm{kN}$

Gordon Ayadju

Numerade Educator

Problem 39

Determine the force in members $B C, H C,$ and $H G$ After the truss is sectioned use a single equation of equilibrium for the calculation of each force. State if these members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 40

Determine the force in members $C D, C F,$ and $C G$ and state if these members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 41

Determine the force developed in members $F E, E B$ and $B C$ of the truss and state if these members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 42

Determine the force in members $B C, H C,$ and $H G$ State if these members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 43

Determine the force in members $C D, C J, G J,$ and $C G$ and state if these members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 44

Determine the force in members $B E, E F,$ and $C B$ and state if the members are in tension or compression.

Rashmi Sinha

Numerade Educator

Problem 45

Determine the force in members $B F, B G,$ and $A B$ and state if the members are in tension or compression.

Vipender Yadav

Numerade Educator

Problem 46

Determine the force in members $B C, C H, G H,$ and $C G$ of the truss and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 47

Determine the force in members $C D, C J,$ and $K J$ and state if these members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 48

Determine the force in members $J K, C J,$ and $C D$ of the truss, and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 49

Determine the force in members $H I, F I,$ and $E F$ of the truss, and state if the members are in tension or compression.

Shoukat Ali

Other Schools

Problem 50

Determine the force developed in each member of the space truss and state if the members are in tension or compression. The crate has a weight of $150 \mathrm{lb}$

Sarah Mccrumb

Numerade Educator

Problem 51

Determine the force in each member of the space truss and state if the members are in tension or compression. Hint: The support reaction at $E$ acts along member $E B$. Why?

Gordon Ayadju

Numerade Educator

Problem 52

Determine the force in each member of the space truss and state if the members are in tension or compression. The truss is supported by ball-and-socket joints at $A, B, C,$ and $D$

Gordon Ayadju

Numerade Educator

Problem 53

The space truss supports a force $\mathbf{F}=\{-500 \mathbf{i}+600 \mathbf{j}+400 \mathbf{k}\}$ lb. Determine the force in each member, and state if the members are in tension or compression.

M Hassan Anwar

Numerade Educator

Problem 54

The space truss supports a force $\mathbf{F}=\{600 \mathbf{i}+450 \mathbf{j}-750 \mathbf{k}\}$ lb. Determine the force in each member, and state if the members are in tension or compression.

M Hassan Anwar

Numerade Educator

Problem 55

Determine the force in members $E F, A F,$ and $D F$ of the space truss and state if the members are in tension or compression. The truss is supported by short links at $A, B, D$ and $E$

Gordon Ayadju

Numerade Educator

Problem 56

The space truss is used to support the forces at joints $B$ and $D .$ Determine the force in each member and state if the members are in tension or compression.

Gordon Ayadju

Numerade Educator

Problem 57

The space truss is supported by a ball-and-socket joint at $D$ and short links at $C$ and $E$. Determine the force in each member and state if the members are in tension or compression. Take $\mathbf{F}_{1}=\{-500 \mathbf{k}\}$ lb and $\mathbf{F}_{2}=\{400 \mathbf{j}\}$

M Hassan Anwar

Numerade Educator

Problem 58

The space truss is supported by a ball-and-socket joint at $D$ and short links at $C$ and $E .$ Determine the force in each member and state if the members are in tension or compression. Take $\mathbf{F}_{1}=\{200 \mathbf{i}+300 \mathbf{j}-500 \mathbf{k}\}$ lb and $\mathbf{F}_{2}=\{400 \mathbf{j}\}$ lb.

M Hassan Anwar

Numerade Educator

Problem 59

Determine the force in each member of the space truss and state if the members are in tension or compression. The truss is supported by ball-and-socket joints at $A, B,$ and $E$ Set $\mathbf{F}=\{800 \text { j }\}$ N. Hint: The support reaction at $E$ acts along member $E C .$ Why?

M Hassan Anwar

Numerade Educator

Problem 60

Determine the force in cach member of the space truss and state if the members are in tension or compression. The truss is supported by ball-and-socket joints at $A, B,$ and $E$ $\operatorname{Set} \mathbf{F}=\{-200 \mathbf{i}+400 \mathbf{j}\}$ N. Hint: The support reaction at $E$ acts along member $E C .$ Why?

M Hassan Anwar

Numerade Educator

Problem 61

Determine the force $\mathbf{P}$ required to hold the $100-1 \mathrm{b}$ weight in equilibrium.

Gordon Ayadju

Numerade Educator

Problem 62

In each case, determine the force $\mathbf{P}$ required to maintain equilibrium. The block weighs 100 lb.

Gordon Ayadju

Numerade Educator

Problem 63

Determine the force $\mathbf{P}$ required to hold the $50-\mathrm{kg}$ mass in equilibrium.

Gordon Ayadju

Numerade Educator

Problem 64

Determine the force $\mathbf{P}$ required to hold the $150-\mathrm{kg}$ crate in equilibrium.

Rashmi Sinha

Numerade Educator

Problem 65

Determine the horizontal and vertical components of force that pins $A$ and $B$ exert on the frame.

Ajay Singhal

Numerade Educator

Problem 66

Determine the horizontal and vertical components of force at pins $A$ and $D$

Gordon Ayadju

Numerade Educator

Problem 67

Determine the force that the smooth roller $C$ exerts on member $A B .$ Also, what are the horizontal and vertical components of reaction at pin $A$ ? Neglect the weight of the frame and roller.

Vipender Yadav

Numerade Educator

Problem 68

The bridge frame consists of three segments which can be considered pinned at $A, D,$ and $E,$ rocker supported at $C$ and $F,$ and roller supported at $B .$ Determine the horizontal and vertical components of reaction at all these supports due to the loading shown.

Vipender Yadav

Numerade Educator

Problem 69

Determine the reactions at supports $A$ and $B$

Eric Mockensturm

Eric Mockensturm

Numerade Educator

Problem 70

Determine the horizontal and vertical components of force at pins $B$ and $C .$ The suspended cylinder has a mass of 75 kg.

Gordon Ayadju

Numerade Educator

Problem 71

Determine the reactions at the supports $A, C,$ and $E$ of the compound beam.

Ajay Singhal

Numerade Educator

Problem 72

Determine the resultant force at pins $A, B,$ and $C$ on the three-member frame.

Rashmi Sinha

Numerade Educator

Problem 73

Determine the reactions at the supports at $A, E,$ and $B$ of the compound beam.

Gordon Ayadju

Numerade Educator

Problem 74

The wall crane supports a load of 700 lb. Determine the horizontal and vertical components of reaction at the pins $A$ and $D$. Also, what is the force in the cable at the winch $W ?$

M Hassan Anwar

Numerade Educator

Problem 75

The wall crane supports a load of 700 lb. Determine the horizontal and vertical components of reaction at the pins $A$ and $D .$ Also, what is the force in the cable at the winch $W ?$ The jib $A B C$ has a weight of 100 lb and member $B D$ has a weight of 40 lb. Each member is uniform and has a center of gravity at its center.

M Hassan Anwar

Numerade Educator

Problem 76

Determine the horizontal and vertical components of force which the pins at $A$ and $B$ exert on the frame.

Ajay Singhal

Numerade Educator

Problem 77

The two-member structure is connected at $C$ by a pin, which is fixed to $B D E$ and passes through the smooth slot in member $A C$. Determine the horizontal and vertical components of reaction at the supports.

M Hassan Anwar

Numerade Educator

Problem 78

The compound beam is pin supported at $B$ and supported by rockers at $A$ and $C .$ There is a hinge (pin) at $D$ Determine the reactions at the supports.

Vipender Yadav

Numerade Educator

Problem 79

When a force of 2 lb is applied to the handles of the brad squeezer, it pulls in the smooth rod $A B .$ Determine the force $\mathbf{P}$ exerted on each of the smooth brads at $C$ and $D$

Prashant Bana

Numerade Educator

Problem 80

The toggle clamp is subjected to a force $\mathbf{F}$ at the handle. Determine the vertical clamping force acting at $E$

Sarah Mccrumb

Numerade Educator

Problem 81

The hoist supports the 125 -kg engine. Determine the force the load creates in member $D B$ and in member $F B$ which contains the hydraulic cylinder $H$

Vipender Yadav

Numerade Educator

Problem 82

A 5 -lb force is applied to the handles of the vise grip. Determine the compressive force developed on the smooth bolt shank $A$ at the jaws.

Rashmi Sinha

Numerade Educator

Problem 83

Determine the force in members $F D$ and $D B$ of the frame. Also, find the horizontal and vertical components of reaction the pin at $C$ exerts on member $A B C$ and member $E D C$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 84

Determine the force that the smooth 20 -kg cylinder exerts on members $A B$ and $C D B$. Also, what are the horizontal and vertical components of reaction at pin $A ?$

Rashmi Sinha

Numerade Educator

Problem 85

The three power lines exert the forces shown on the pin-connected members at joints $B, C,$ and $D,$ which in turn are pin connected to the poles $A H$ and $E G .$ Determine the force in the guy cable $A I$ and the pin reaction at the support $H$

Eric Mockensturm

Eric Mockensturm

Numerade Educator

Problem 86

The pumping unit is used to recover oil. When the walking beam $A B C$ is horizontal, the force acting in the wireline at the well head is 250 lb. Determine the torque $\mathbf{M}$ which must be exerted by the motor in order to overcome this load. The horse-head $C$ weighs 60 lb and has a center of gravity at $G_{C}$. The walking beam $A B C$ has a weight of 130 lb and a center of gravity at $G_{B}$, and the counterweight has a weight of $200 \mathrm{lb}$ and a center of gravity at $G_{W} .$ The pitman, $A D,$ is pin connected at its ends and has negligible weight.

Rashmi Sinha

Numerade Educator

Problem 87

Determine the force that the jaws $J$ of the metal cutters exert on the smooth cable $C$ if 100 -N forces are applied to the handles. The jaws are pinned at $E$ and $A$ and $D$ and $B .$ There is also a pin at $F$

Prashant Bana

Numerade Educator

Problem 88

The machine shown is used for forming metal plates. It consists of two toggles $A B C$ and $D E F,$ which are operated by the hydraulic cylinder $H$. The toggles push the movable bar $G$ forward, pressing the plate $p$ into the cavity. If the force which the plate exerts on the head is $P=12 \mathrm{kN}$, determine the force $F$ in the hydraulic cylinder when $\theta=30^{\circ}$

Jonathan Ibarra

Jonathan Ibarra

Numerade Educator

Problem 89

Determine the horizontal and vertical components of force which pin $C$ exerts on member $A B C$. The 600 -N load is applied to the pin.

Prashant Bana

Numerade Educator

Problem 90

The pipe cutter is clamped around the pipe $P .$ If the wheel at $A$ exerts a normal force of $F_{A}=80 \mathrm{N}$ on the pipe, determine the normal forces of wheels $B$ and $C$ on the pipe. Also compute the pin reaction on the wheel at $C .$ The three wheels each have a radius of $7 \mathrm{mm}$ and the pipe has an outer radius of $10 \mathrm{mm}$

M Hassan Anwar

Numerade Educator

Problem 91

Determine the force created in the hydraulic cylinders $E F$ and $A D$ in order to hold the shovel in equilibrium. The shovel load has a mass of $1.25 \mathrm{Mg}$ and a center of gravity at $G .$ All joints are pin connected.

Kratika Bhadauria

Kratika Bhadauria

Numerade Educator

Problem 92

Determine the horizontal and vertical components of force at pin $B$ and the normal force the pin at $C$ exerts on the smooth slot. Also, determine the moment and horizontal and vertical reactions of force at $A$. There is a pulley at $E$

Rory Naguib

Numerade Educator

Problem 93

The constant moment of $50 \mathrm{N} \cdot \mathrm{m}$ is applied to the crank shaft. Determine the compressive force $P$ that is cxerted on the piston for equilibrium as a function of $\theta$. Plot the results of $P\left(\text { vertical axis ) versus } \theta \text { (horizontal axis) for } 0^{\circ} \leq \theta \leq 90^{\circ}\right.$

Rashmi Sinha

Numerade Educator

Problem 94

Five coins are stacked in the smooth plastic container shown. If each coin weighs 0.0235 Ib, determine the normal reactions of the bottom coin on the container at points $A$ and $B$

Ajay Singhal

Numerade Educator

Problem 95

The nail cutter consists of the handle and the two cutting blades. Assuming the blades are pin connected at $B$ and the surface at $D$ is smooth, determine the normal force on the fingernail when a force of 1 lb is applied to the handles as shown. The pin $A C$ slides through a smooth hole at $A$ and is attached to the bottom member at $C$

Vipender Yadav

Numerade Educator

Problem 96

A man having a weight of 175 lb attcmpts to hold himself using one of the two methods shown. Determine the total force he must exert on bar $A B$ in cach case and the normal reaction he exerts on the platform at $C .$ Neglect the weight of the platform.

Rashmi Sinha

Numerade Educator

Problem 97

A man having a weight of 175 lb attempts to hold himself using one of the two methods shown. Determine the total force he must exert on bar $A B$ in each case and the normal reaction he exerts on the platform at $C .$ The platform has a weight of $30 \mathrm{lb}$

Rashmi Sinha

Numerade Educator

Problem 98

The two-member frame is pin connected at $E .$ The cable is attached to $D,$ passes over the smooth peg at $C,$ and supports the 500 -N load. Determine the horizontal and vertical reactions at each pin.

Banhishikha Sinha

Banhishikha Sinha

Numerade Educator

Problem 99

If the $300-\mathrm{kg}$ drum has a center of mass at point $G$ determine the horizontal and vertical components of force acting at pin $A$ and the reactions on the smooth pads $C$ and $D$ The grip at $B$ on member $D A B$ resists both horizontal and vertical components of force at the rim of the drum.

Prashant Bana

Numerade Educator

Problem 100

Operation of exhaust and intake valves in an automobile engine consists of the cam $C,$ push rod $D E$ rocker arm $E F G$ which is pinned at $F,$ and a spring and valve, $V$. If the compression in the spring is $20 \mathrm{mm}$ when the valve is open as shown, determine the normal force acting on the cam lobe at $C .$ Assume the cam and bearings at $H, I$ and $J$ are smooth. The spring has a stiffness of $300 \mathrm{N} / \mathrm{m}$

James Kiss

Numerade Educator

Problem 101

If a clamping force of $300 \mathrm{N}$ is required at $A$ determine the amount of force $\mathbf{F}$ that must be applied to the handle of the toggle clamp.

Banhishikha Sinha

Banhishikha Sinha

Numerade Educator

Problem 102

If a force of $F=350 \mathrm{N}$ is applicd to the handle of the toggle clamp, determine the resulting clamping force at $A$

Sarah Mccrumb

Numerade Educator

Problem 103

Determine the horizontal and vertical components of force that the pins at $A$ and $B$ exert on the frame.

Gordon Ayadju

Numerade Educator

Problem 104

The hydraulic crane is used to lift the 1400 -lb load. Determine the force in the hydraulic cylinder $A B$ and the force in links $A C$ and $A D$ when the load is held in the position shown.

Donald Albin

Numerade Educator

Problem 105

Determine force $\mathbf{P}$ on the cable if the spring is compressed $0.025 \mathrm{m}$ when the mechanism is in the position shown. The spring has a stiffness of $k=6 \mathrm{kN} / \mathrm{m}$

Ajay Singhal

Numerade Educator

Problem 106

If $d=0.75 \mathrm{ft}$ and the spring has an unstretched length of $1 \mathrm{ft}$, determine the force $F$ required for equilibrium.

Monica Miller

Numerade Educator

Problem 107

If a force of $F=50$ lb is applied to the pads at $A$ and $C,$ determine the smallest dimension $d$ required for equilibrium if the spring has an unstretched length of $1 \mathrm{ft}$

Vishal Gupta

Numerade Educator

Problem 108

The skid-steer loader has a mass of $1.18 \mathrm{Mg}$, and in the position shown the center of mass is at $G_{1}$. If there is a $300-\mathrm{kg}$ stone in the bucket, with center of mass at $G_{2}$ determine the reactions of each pair of wheels $A$ and $B$ on the ground and the force in the hydraulic cylinder $C D$ and at the pin $E .$ There is a similar linkage on each side of the loader.

Eric Mockensturm

Eric Mockensturm

Numerade Educator

Problem 109

Determine the force $\mathbf{P}$ on the cable if the spring is compressed 0.5 in. when the mechanism is in the position shown. The spring has a stiffness of $k=800 \mathrm{lb} / \mathrm{ft}$

Ajay Singhal

Numerade Educator

Problem 110

The spring has an unstretched length of $0.3 \mathrm{m}$ Determine the angle $\theta$ for equilibrium if the uniform bars each have a mass of $20 \mathrm{kg}$

Supratim Pal

Numerade Educator

Problem 111

The spring has an unstretched length of $0.3 \mathrm{m}$ Determine the mass $m$ of each uniform bar if each angle $\theta=30^{\circ}$ for equilibrium.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 112

The piston $C$ moves vertically between the two smooth walls. If the spring has a stiffness of $k=15 \mathrm{lb} / \mathrm{in.}$ and is unstretched when $\theta=0^{\circ},$ determine the couple $\mathbf{M}$ that must be applied to $A B$ to hold the mechanism in equilibrium when $\theta=30^{\circ}$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 113

The platform scale consists of a combination of third and first class levers so that the load on one lever becomes the effort that moves the next lever. Through this arrangement, a small weight can balance a massive object. If $x=450 \mathrm{mm}$ determine the required mass of the counterweight $S$ required to balance a $90-\mathrm{kg}$ load, $L$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 114

The platform scale consists of a combination of third and first class levers so that the load on one lever becomes the effort that moves the next lever. Through this arrangement, a small weight can balance a massive object. If $x=450 \mathrm{mm},$ and the mass of the counterweight $S$ is $2 \mathrm{kg}$, determine the mass of the load $L$ required to maintain the balance.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 115

The four-member "A" frame is supported at $A$ and $E$ by smooth collars and at $G$ by a pin. All the other joints are ball-and-sockets. If the pin at $G$ will fail when the resultant force there is $800 \mathrm{N}$, determine the largest vertical force $P$ that can be supported by the frame. Also, what are the $x, y, z$ force components which member $B D$ exerts on members $E D C$ and $A B C ?$ The collars at $A$ and $E$ and the pin at $G$ only exert force components on the frame.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 116

The structure is subjected to the loadings shown. Member $A B$ is supported by a ball-and-socket at $A$ and smooth collar at $B$. Member $C D$ is supported by a pin at $C$. Determine the $x, y, z$ components of reaction at $A$ and $C$

M Hassan Anwar

Numerade Educator

Problem 117

The structure is subjected to the loading shown. Member $A D$ is supported by a cable $A B$ and roller at $C$ and fits through a smooth circular hole at $D .$ Member $E D$ is supported by a roller at $D$ and a pole that fits in a smooth snug circular hole at $E .$ Determine the $x, y, z$ components of reaction at $E$ and the tension in cable $A B$

Christopher Dzorkpata

Christopher Dzorkpata

Numerade Educator

Problem 118

The three pin-connected members shown in the top view support a downward force of 60 lb at $G$. If only vertical forces are supported at the connections $B, C, E$ and pad supports $A, D, F,$ determine the reactions at each pad.

Eric Mockensturm

Eric Mockensturm

Numerade Educator