Which of the following equations is the correct expression for bending moment (M) in an element, given the modulus of elasticity (E), moment of inertia (I), element length (le), shape function ( ) and displacement (q) in a uniformly distributed load on a simply supported beam?

M= ( frac{EI}{(le)^3} )[6 q1-(3 -1)leq2-6 q3-(3 +1)leq4]

M= ( frac{EI}{(le)^2} )[6 q1+(3 -1)leq2-6 q3+(3 +1)leq4]

M= ( frac{EI}{(le)^3} )[6 q1-(3 -1)leq2-6 q3-(3 +1)leq4]

M= ( frac{EI}{(le)^2} )[6 q1+(3 -1)leq2-6 q3-(3 +1)leq4]

M= ( frac{EI}{(le)^3} )[6 q1+(3 -1)leq2-6 q3+(3 +1)leq4]

Which of the following equations is the correct expression for shear force (V) in an element, given the modulus of elasticity (E), moment of inertia (I), element length (le), displacement (q) in a uniformly distributed load on a simply supported beam?

V= ( frac{EI}{(le)^2} )(2q1+leq2-2q3+leq4)

V= ( frac{EI}{(le)^3} )(2q1+leq2-2q3+leq4)

V= ( frac{EI}{(le)^2} )(2q1+leq2-2q3+leq4)

V= ( frac{EI}{(le)^2} )(2q1+leq2+2q3+leq4)

V= ( frac{EI}{(le)^3} )(2q1+leq2+2q3+leq4)

Shear stress distribution across the cross section of beam is constant

Shear stress distribution across the cross section of beam is zero

Shear stress distribution across the cross section of beam is zero at center and maximum at extreme ends

Shear stress distribution across the cross section of beam is zero at extreme ends and maximum at center

Bending stresses induced in the beam increases linearly from fixed end to free end

Bending stresses induced in the beam are constant throughout the length of the beam

Bending stresses induced in the beam decreases linearly from fixed end to free end

Bending stresses induced in the beam increases linearly from fixed end to free end

Bending stresses induced in the beam decreases exponentially from fixed end to free end

1.	Which of the following equations is the correct expression for bending moment (M) in an element, given the modulus of elasticity (E), moment of inertia (I), element length (l_e), shape function ( ) and displacement (q) in a uniformly distributed load on a simply supported beam?
A.	M= ( frac{EI}{(le)^2} )[6 q<sub>1</sub>+(3 -1)l<sub>e</sub>q<sub>2</sub>-6 q<sub>3</sub>+(3 +1)l<sub>e</sub>q<sub>4</sub>]
B.	M= ( frac{EI}{(le)^3} )[6 q<sub>1</sub>-(3 -1)l<sub>e</sub>q<sub>2</sub>-6 q<sub>3</sub>-(3 +1)l<sub>e</sub>q<sub>4</sub>]
C.	M= ( frac{EI}{(le)^2} )[6 q<sub>1</sub>+(3 -1)l<sub>e</sub>q<sub>2</sub>-6 q<sub>3</sub>-(3 +1)l<sub>e</sub>q<sub>4</sub>]
D.	M= ( frac{EI}{(le)^3} )[6 q<sub>1</sub>+(3 -1)l<sub>e</sub>q<sub>2</sub>-6 q<sub>3</sub>+(3 +1)l<sub>e</sub>q<sub>4</sub>]
Answer» B. M= ( frac{EI}{(le)^3} )[6 q<sub>1</sub>-(3 -1)l<sub>e</sub>q<sub>2</sub>-6 q<sub>3</sub>-(3 +1)l<sub>e</sub>q<sub>4</sub>]

2.	Which of the following equations is the correct expression for shear force (V) in an element, given the modulus of elasticity (E), moment of inertia (I), element length (l_e), displacement (q) in a uniformly distributed load on a simply supported beam?
A.	V= ( frac{EI}{(le)^3} )(2q<sub>1</sub>+l<sub>e</sub>q<sub>2</sub>-2q<sub>3</sub>+l<sub>e</sub>q<sub>4</sub>)
B.	V= ( frac{EI}{(le)^2} )(2q<sub>1</sub>+l<sub>e</sub>q<sub>2</sub>-2q<sub>3</sub>+l<sub>e</sub>q<sub>4</sub>)
C.	V= ( frac{EI}{(le)^2} )(2q<sub>1</sub>+l<sub>e</sub>q<sub>2</sub>+2q<sub>3</sub>+l<sub>e</sub>q<sub>4</sub>)
D.	V= ( frac{EI}{(le)^3} )(2q<sub>1</sub>+l<sub>e</sub>q<sub>2</sub>+2q<sub>3</sub>+l<sub>e</sub>q<sub>4</sub>)
Answer» B. V= ( frac{EI}{(le)^2} )(2q<sub>1</sub>+l<sub>e</sub>q<sub>2</sub>-2q<sub>3</sub>+l<sub>e</sub>q<sub>4</sub>)

3.	Torque acting on the face of a cylindrical body induces bending moment in the body.
A.	True
B.	False
Answer» C.

4.	Which of the following statements are correct regarding shear stress distribution across the cross section in a cantilevered beam with point load acting on the extreme end of the beam?
A.	Shear stress distribution across the cross section of beam is constant
B.	Shear stress distribution across the cross section of beam is zero
C.	Shear stress distribution across the cross section of beam is zero at center and maximum at extreme ends
D.	Shear stress distribution across the cross section of beam is zero at extreme ends and maximum at center
Answer» E.

5.	Which of the following is the correct equation for bending moment (M) of an element given value of young s modulus (E), moment of inertia (I), and radius of curvature (R)?
A.	M= EIR
B.	M= EI/R
C.	M=(EI)<sup>2</sup>R
D.	M=(EI)<sup>2</sup>/R
Answer» C. M=(EI)<sup>2</sup>R

6.	Shear stress acts parallel to the cross section of the beam.
A.	True
B.	False
Answer» B. False

7.	Which of the following statements are correct about a cantilevered beam with point load acting on the extreme end of the beam?
A.	Bending stresses induced in the beam are constant throughout the length of the beam
B.	Bending stresses induced in the beam decreases linearly from fixed end to free end
C.	Bending stresses induced in the beam increases linearly from fixed end to free end
D.	Bending stresses induced in the beam decreases exponentially from fixed end to free end
Answer» C. Bending stresses induced in the beam increases linearly from fixed end to free end