Question 1

L-shaped beam is loaded as shown in the figure. The bending moment at the midpoint of span AB is approximately:

Accepted Answer

A)  6.8 kN ∙ m 
B)  10.1 kN ∙ m 
C)  12.3 kN ∙ m 
D)  15.5 kN ∙ m 
A)  6.8 kN ∙ m 
B)  10.1 kN ∙ m 
C)  12.3 kN ∙ m 
D)  15.5 kN ∙ m A

Question 2

cantilever beam is loaded as shown in the figure. The bending moment at 0.5 m from the support is approximately:

Accepted Answer

A)  12.7 kN ∙ m 
B)  14.2 kN ∙ m 
C)  16.1 kN ∙ m 
D)  18.5 kN ∙ m 
A)  12.7 kN ∙ m 
B)  14.2 kN ∙ m 
C)  16.1 kN ∙ m 
D)  18.5 kN ∙ m D

Question 3

cable with known tension force T is anchored at C and passes over a frictionless drum (see figure). The pin force components $B _ { x } \text { and } B _ { y }$ $\text { (in terms of cable force variable } T \text { ) }$ or the pin connection at B are:

Accepted Answer

A)  $- T , - T$ 
B)  $- 2 T , T$ 
C)  $- T , 2 T$ 
D)  $- T , 3 T / 2$ T 
A)  $- T , - T$ 
B)  $- 2 T , T$ 
C)  $- T , 2 T$ 
D)  $- T , 3 T / 2$ T A

Question 4

Reaction forces are given in the figure below for beam ABCDE. The bending moment at C (in kN ∙ m) is:

Accepted Answer

A)  0.84 kN ∙ m 
B)  0.96 kN ∙ m 
C)  1.04 kN ∙ m 
D)  1.36 kN ∙ m 
A)  0.84 kN ∙ m 
B)  0.96 kN ∙ m 
C)  1.04 kN ∙ m 
D)  1.36 kN ∙ m

Question 5

The simply supported beam ABC shown below is acted upon by applied axial force P at B; by linearly varying distributed load q on BC; and by applied moments $M _ { A } \text { and } M _ { C }$ . Reaction forces are given in the figure
In terms of load variable P. The axial force (N), shear (V), and bending moment (M) at mid-span are (in terms Of variables L and P):

Accepted Answer

A)  $0,0.22 P , 0.63 P L$ 
B)  $P , 0.29 P , 0.33 P L$ 
C)  $0,1.36 P , 0.33 P L$ 
D)  $0,0.29 P , 0.33 P L$ 
A)  $0,0.22 P , 0.63 P L$ 
B)  $P , 0.29 P , 0.33 P L$ 
C)  $0,1.36 P , 0.33 P L$ 
D)  $0,0.29 P , 0.33 P L$

Question 6

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 bending moment just left of C is 1.25 kN ∙ m. The cable force P is approximately:

Accepted Answer

A)  2.7 kN 
B)  3.9 kN 
C)  4.5 kN 
D)  6.2 kN 
A)  2.7 kN 
B)  3.9 kN 
C)  4.5 kN 
D)  6.2 kN

Question 7

simply supported beam with proportional loading (P =4.1 kN) has span length L = 5 m. 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 approximately:

Accepted Answer

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)  $10.1 \mathrm { kN } \cdot \mathrm { m }$ 
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)  $10.1 \mathrm { kN } \cdot \mathrm { m }$

Question 8

simple beam (L = 9 m) with attached bracket BDE has force P = 5 kN applied downward at E. The bending moment just right of $B$ is approximately:

Accepted Answer

A)  6 N ∙ m 
B)  10 N ∙ m 
C)  19 N ∙ m 
D)  22 N ∙ m 
A)  6 N ∙ m 
B)  10 N ∙ m 
C)  19 N ∙ m 
D)  22 N ∙ m

Question 9

simply supported beam is loaded as shown in the figure. The bending moment at point C is approximately:

Accepted Answer

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)  $9.7 \mathrm { kN } \cdot \mathrm { m }$ 
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)  $9.7 \mathrm { kN } \cdot \mathrm { m }$

Question 10

simple beam AB with an overhang BC is loaded as shown in the figure. The bending moment at the midspan of AB is approximately:

Accepted Answer

A)  8 kN ∙ m 
B)  12 kN ∙ m 
C)  17 kN ∙ m 
D)  21 kN ∙ m 
A)  8 kN ∙ m 
B)  12 kN ∙ m 
C)  17 kN ∙ m 
D)  21 kN ∙ m

L-shaped beam is loaded as shown in the figure. The bending moment at the midpoint of span AB is approximately:

cantilever beam is loaded as shown in the figure. The bending moment at 0.5 m from the support is approximately:

Reaction forces are given in the figure below for beam ABCDE. The bending moment at C (in kN ∙ m) is:

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 bending moment just left of C is 1.25 kN ∙ m. The cable force P is approximately:

simply supported beam with proportional loading (P =4.1 kN) has span length L = 5 m. 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 approximately:

simple beam (L = 9 m) with attached bracket BDE has force P = 5 kN applied downward at E. The bending moment just right of $B$ is approximately:

simply supported beam is loaded as shown in the figure. The bending moment at point C is approximately:

simple beam AB with an overhang BC is loaded as shown in the figure. The bending moment at the midspan of AB is approximately:

Introduction

Forces, Moments, Resultants

Equilibrium of Particles and Rigid Bodies: 2D, 3D

Structural Applications

Centroids, Center of Mass, Moments of Inertia

Tension, Compression and Shear

Axially Loaded Members

Torsion

Stresses in Beams

Analysis of Stress and Strain

Applications of Plane Stress Pressure Vessels and Combined Loadings

Filters

Exam 6: Internal Effects in Bars, Shafts, Beams and Frames

L-shaped beam is loaded as shown in the figure. The bending moment at the midpoint of span AB is approximately:

cantilever beam is loaded as shown in the figure. The bending moment at 0.5 m from the support is approximately:

Reaction forces are given in the figure below for beam ABCDE. The bending moment at C (in kN ∙ m) is:

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 bending moment just left of C is 1.25 kN ∙ m. The cable force P is approximately:

simply supported beam with proportional loading (P =4.1 kN) has span length L = 5 m. 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 approximately:

simple beam (L = 9 m) with attached bracket BDE has force P = 5 kN applied downward at E. The bending moment just right of BBB is approximately:

simply supported beam is loaded as shown in the figure. The bending moment at point C is approximately:

simple beam AB with an overhang BC is loaded as shown in the figure. The bending moment at the midspan of AB is approximately:

Introduction

Forces, Moments, Resultants

Equilibrium of Particles and Rigid Bodies: 2D, 3D

Structural Applications

Centroids, Center of Mass, Moments of Inertia

Tension, Compression and Shear

Axially Loaded Members

Torsion

Stresses in Beams

Analysis of Stress and Strain

Applications of Plane Stress Pressure Vessels and Combined Loadings

Filters

simple beam (L = 9 m) with attached bracket BDE has force P = 5 kN applied downward at E. The bending moment just right of $B$ is approximately: