Question 1

A copper wire (d = 1.5 mm) is bent around a tube of radius R = 0.6 m. The maximum normal strain in the wire is approximately: (A) $ 1.25 \times 10^{-3} $
(B) $ 1.55 \times 10^{-3} $
(C) $ 1.76 \times 10^{-3} $
(D) $ 1.92 \times 10^{-3} $

Accepted Answer

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Question 2

Two thin cables, each having a diameter of $d=t / 6$ and carrying tensile loads P, are bolted to the top of a rectangular steel block with
Cross-sectional dimensions $b \times t$ . The ratio of the maximum tensile to
Compressive stress in the block due to loads P is: (A) $ 1.5 $
(B) $ 1.8 $
(C) $ 2.0 $
(D) $ 2.5 $

Accepted Answer

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Question 3

A drive shaft running at 2500 rpm has outer diameter 60 mm and inner diameter 40 mm. The allowable shear stress in the shaft is 35 MPa.
The maximum power that can be transmitted is approximately: (A) $ 220 \mathrm{~kW} $
(B) $ 240 \mathrm{~kW} $
(C) $ 288 \mathrm{~kW} $
(D) $ 312 \mathrm{~kW} $

Accepted Answer

The answer of A drive shaft running at 2500 rpm...

Question 4

A T-shaped simple beam has a cable with force P anchored at B and passing over a pulley at E, as shown in the figure. The bend-
Ing moment just left of C $1.25 \mathrm{kN} \cdot \mathrm{m}$ m. The cable force P is approxi-
Mately: (A) $ 2.7 \mathrm{kN} $
(B) $ 3.9 \mathrm{kN} $
(C) $ 4.5 \mathrm{kN} $
(D) $ 6.2 \mathrm{kN} $

Accepted Answer

The answer of A T-shaped simple beam has a cable...

Question 5

A simple beam AB with an overhang BC is loaded as shown in the figure. The bending moment at the midspan of AB is approximately: (A) $ 8 \mathrm{kN} \cdot \mathrm{m} $
(B) $ 12 \mathrm{kN} \cdot \mathrm{m} $
(C) $ 17 \mathrm{kN} \cdot \mathrm{m} $
(D) $ 21 \mathrm{kN} \cdot \mathrm{m} $

Accepted Answer

The answer of A simple beam AB with an overhang...

Question 6

A beam with an overhang is loaded by a uniform load of 3 kN/m over its entire length. Moment of inertia $I_{z}=3.36 \times 10^{6} \mathrm{~mm}^{4}$ and
Distances to top and bottom of the beam cross section are 20 mm and
66)4 mm, respectively. It is known that reactions at A and B are 4.5 kN
And 13.5 kN, respectively. The maximum bending stress in the beam is
Approximately: (A) $ 36 \mathrm{MPa} $
(B) $ 67 \mathrm{MPa} $
(C) $ 102 \mathrm{MPa} $
(D) $ 119 \mathrm{MPa} $

Accepted Answer

The answer of A beam with an overhang is loaded...

Question 7

A simply supported steel beam of length L = 1.5 m and rectangu- lar cross section $(h=75 \mathrm{~mm}, b=20 \mathrm{~mm})$ carries a uniform load of
Q = 48 kN/m that includes its own weight. The maximum transverse
Shear stress on the cross section at 0.25 m from the left support is approx-
Imately: (A) $ 20 \mathrm{MPa} $
(B) $ 24 \mathrm{MPa} $
(C) $ 30 \mathrm{MPa} $
(D) $ 36 \mathrm{MPa} $

Accepted Answer

The answer of A simply supported steel beam of length...

Question 8

A simply supported beam is loaded as shown in the figure. The bending moment at point C is approximately: (A) $ 5.7 \mathrm{kN} \cdot \mathrm{m} $
(B) $ 6.1 \mathrm{kN} \cdot \mathrm{m} $
(C) $ 6.8 \mathrm{kN} \cdot \mathrm{m} $
(D) $ 9.7 \mathrm{kN} \cdot \mathrm{m} $

Accepted Answer

The answer of A simply supported beam is loaded as...

Question 9

An aluminum light pole weighs 4300 N and supports an arm of weight 700 N, with the arm center of gravity at 1.2 m left of the centroidal
Axis of the pole. A wind force of 1500 N acts to the right at 7.5 m above
The base. The pole cross section at the base has an outside diameter of
235 mm and thickness of 20 mm. The maximum compressive stress at the
Base is approximately: (A) $ 16 \mathrm{MPa} $
(B) $ 18 \mathrm{MPa} $
(C) $ 21 \mathrm{MPa} $
(D) $ 24 \mathrm{MPa} $

Accepted Answer

The answer of An aluminum light pole weighs 4300 N...

Question 10

A simply supported laminated beam of length L = 0.5 m and square cross section weighs 4.8 N. Three strips are glued together to form
The beam, with the allowable shear stress in the glued joint equal to
0.3 MPa. Considering also the weight of the beam, the maximum load P
That can be applied at L/3 from the left support is approximately: (A) $ 240 \mathrm{~N} $
(B) $ 360 \mathrm{~N} $
(C) $ 434 \mathrm{~N} $
(D) $ 510 \mathrm{~N} $

Accepted Answer

The answer of A simply supported laminated beam of length...

Question 11

A steel hanger with solid cross section has horizontal force P = 5.5 kN applied at free end D. Dimension variable b = 175 mm and
Allowable normal stress is 150 MPa. Neglect self-weight of the hanger.
The required diameter of the hanger is approximately:
A) 5 cm
B) 7 cm
C) 10 cm
D) 13 cm

Accepted Answer

The answer of A steel hanger with solid cross section...

Question 12

An L-shaped beam is loaded as shown in the figure. The bending moment at the midpoint of span AB is approximately: (A) $ 6.8 \mathrm{kN} \cdot \mathrm{m} $
(B) $ 10.1 \mathrm{kN} \cdot \mathrm{m} $
(C) $ 12.3 \mathrm{kN} \cdot \mathrm{m} $
(D) $ 15.5 \mathrm{kN} \cdot \mathrm{m} $

Accepted Answer

The answer of An L-shaped beam is loaded as shown...

Question 13

A simply supported wood beam (L = 5m)with rectangular cross section (b = 200 mm, h = 280 mm) carries uniform load $q=6.5 \mathrm{kN} / \mathrm{m}$ includes the weight of the beam. The maximum flexural stress is
Approximately: (A) $ 8.7 \mathrm{MPa} $
(B) $ 10.1 \mathrm{MPa} $
(C) $ 11.4 \mathrm{MPa} $
(D) $ 14.3 \mathrm{MPa} $

Accepted Answer

The answer of A simply supported wood beam (L =...

Question 14

A cast iron pipe $\left(L=12 \mathrm{~m} \text {, weight density }=72 \mathrm{kN} / \mathrm{m}^{3}\right. \text {, }$ $\left.d_{2}=100 \mathrm{~mm} \text {, and } d_{1}=75 \mathrm{~mm}\right)$ is lifted by a hoist. The lift points are 6 m apart. The maximum bending stress in the pipe is approximately: (A) $ 28 \mathrm{MPa} $
(B) $ 33 \mathrm{MPa} $
(C) $ 47 \mathrm{MPa} $
(D) $ 59 \mathrm{MPa} $

Accepted Answer

The answer of A cast iron pipe \(\left(L=12 \mathrm{~m} \text...

Question 15

A simple beam (L = 9m) with attached bracket BDE has force P = 5kNapplied downward at E. The bending moment just right of B is
Approximately: (A) $ 6 \mathrm{kN} \cdot \mathrm{m} $
(B) $ 10 \mathrm{kN} \cdot \mathrm{m} $
(C) $ 19 \mathrm{kN} \cdot \mathrm{m} $
(D) $ 22 \mathrm{kN} \cdot \mathrm{m} $

Accepted Answer

The answer of A simple beam (L = 9m) with...

Question 16

A cantilever beam is loaded as shown in the figure. The bending moment at 0.5 m from the support is approximately: (A) $ 12.7 \mathrm{kN} \cdot \mathrm{m} $
(B) $ 14.2 \mathrm{kN} \cdot \mathrm{m} $
(C) $ 16.1 \mathrm{kN} \cdot \mathrm{m} $
(D) $ 18.5 \mathrm{kN} \cdot \mathrm{m} $

Accepted Answer

The answer of A cantilever beam is loaded as shown...

Question 17

A prismatic shaft (diameter $d_{0}=19 \mathrm{~mm}$ ) is loaded by torque $T_{1}$ A stepped shaft (diameters $d_{1}=20 \mathrm{~mm} \text { and } d_{2}=25$ mm with radius of fillets R = 2mm) is loaded by torque $T_{2}$ . The allowable shear stress in the
Material is 42 MPa. The ratio $T_{1} / T_{2}$ of the maximum permissible torques
That can be applied to the shafts, considering stress concentration effects
In the stepped shaft is:
A) 0.9
B) 1.2
C) 1.4
D) 2.1

Accepted Answer

The answer of A prismatic shaft (diameter $d_{0}=19 \mathrm{~mm}$ )...

Question 18

A cantilever wood pole carries force P = 300 N applied at its free end, as well as its own weight $\text { (weight density }=6 \mathrm{kN} / \mathrm{m}^{3} \text { ) }$ . The length of
The pole is L = 0.75 m and the allowable bending stress is 14 MPa. The
Required diameter of the pole is approximately:
A) 4.2 cm
B) 5.5 cm
C) 6.1 cm
D) 8.5 cm

Accepted Answer

The answer of A cantilever wood pole carries force P...

Question 19

A simply supported beam with proportional loading (P = 4.1 kN) has span length L = 5m. Load P is 1.2 m from support A and load 2P is
1.5 m from support B. The bending moment just left of load 2P is approx-
Imately: (A) $ 5.7 \mathrm{kN} \cdot \mathrm{m} $
(B) $ 6.2 \mathrm{kN} \cdot \mathrm{m} $
(C) $ 9.1 \mathrm{kN} \cdot \mathrm{m} $
(D) $ 10.1 \mathrm{kN} \cdot \mathrm{m} $

Accepted Answer

The answer of A simply supported beam with proportional loading...

Question 20

An aluminum cantilever beam of length L = 0.65 m carries a distributed load, which includes its own weight, of intensity $q / 2$ /2 at A and
Q at B. The beam cross section has a width of 50 mm and height of
170 mm. Allowable bending stress is 95 MPa and allowable shear stress is
12 MPa. The permissible value of load intensity q is approximately: (A) $ 110 \mathrm{kN} / \mathrm{m} $
(B) $ 122 \mathrm{kN} / \mathrm{m} $
(C) $ 130 \mathrm{kN} / \mathrm{m} $
(D) $ 139 \mathrm{kN} / \mathrm{m} $

Accepted Answer

The answer of An aluminum cantilever beam of length L...

Quiz 1: Mechanics of Materials

A steel hanger with solid cross section has horizontal force P = 5.5 kN applied at free end D. Dimension variable b = 175 mm and Allowable normal stress is 150 MPa. Neglect self-weight of the hanger. The required diameter of the hanger is approximately: