Deck 6: Internal Effects in Bars, Shafts, Beams and Frames
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Deck 6: Internal Effects in Bars, Shafts, Beams and Frames
1
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 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
B
2
cantilever beam is loaded as shown in the figure. The bending moment at 0.5 m from the support is approximately: 
(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
3
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
. 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):
Stresses and strain

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):


D
4
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: 
(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
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5
simply supported beam is loaded as shown in the figure. The bending moment at point C is approximately:



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6
simple beam (L 5 9 m) with attached bracket BDE has force P 5 5 kN applied downward at E. The bending moment just right of
is approximately: 
(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
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7
Reaction forces are given in the figure below for beam ABCDE. The bending moment at C (in kN ∙ m) is: 
(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
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8
simply supported beam with proportional loading (P 5 4.1 kN) has span length L 5 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:



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9
L-shaped beam is loaded as shown in the figure. The bending moment at the midpoint of span AB is approximately: 
(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
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10
cable with known tension force T is anchored at C and passes over a frictionless drum (see figure). The pin force components
or the pin connection at B are:
T 




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