Crowdly

Add to Chrome

Course 38579

Looking for Course 38579 test answers and solutions? Browse our comprehensive collection of verified answers for Course 38579 at learning.monash.edu.

Get instant access to accurate answers and detailed explanations for your course questions. Our community-driven platform helps students succeed!

Figure P4 shows a rigid frame fixed at point A. A single force of magnitude

3000\,\text{N}3000 N is applied at point B, acting along the direction shown (defined by the 3–4–5 triangle).

The horizontal member has a length of 10 m, and the vertical member has a height of 12 m.

Determine the reaction moment (M_A) at the fixed support A. Use the sign convention for forces and moments shown in the figure (i.e. a counter clockwise moment is considered positive).

Select the correct answer (All answers are in N·m)

Figure P4. Cantilever beam with applied forces

$M_A = - (3000)(10) = - 30{,}000\,\text{Nm}$ M_A = - (3000)(10) = - 30{,}000\,\text{Nm}

$M_A = \frac{3}{5}(3000)(12) + \frac{4}{5}(3000)(10) = 45{,}600\,\text{Nm}$ M_A = \frac{3}{5}(3000)(12) + \frac{4}{5}(3000)(10) = 45{,}600\,\text{Nm}

$M_A = \frac{4}{5}(3000)(12) - \frac{3}{5}(3000)(10) = 10{,}800\,\text{Nm}$ M_A = \frac{4}{5}(3000)(12) - \frac{3}{5}(3000)(10) = 10{,}800\,\text{Nm}

$M_A = - \frac{3}{5}(3000)(12) - \frac{4}{5}(3000)(10) = - 45{,}600\,\text{Nm}$ M_A = - \frac{3}{5}(3000)(12) - \frac{4}{5}(3000)(10) = - 45{,}600\,\text{Nm}

$M_A = \frac{4}{5}(3000)(12) + \frac{3}{5}(3000)(10) = 46{,}800\,\text{Nm}$ M_A = \frac{4}{5}(3000)(12) + \frac{3}{5}(3000)(10) = 46{,}800\,\text{Nm}

$M_A = - \frac{4}{5}(3000)(12) + \frac{3}{5}(3000)(10) = - 10{,}800\,\text{Nm}$ M_A = - \frac{4}{5}(3000)(12) + \frac{3}{5}(3000)(10) = - 10{,}800\,\text{Nm}

$M_A = \frac{4}{5}(3000)(10) - \frac{3}{5}(3000)(12) = 2{,}400\,\text{Nm}$ M_A = \frac{4}{5}(3000)(10) - \frac{3}{5}(3000)(12) = 2{,}400\,\text{Nm}

$M_A = (3000)(10) = 30{,}000\,\text{Nm}$ M_A = (3000)(10) = 30{,}000\,\text{Nm}

View this question

Consider the free-body diagram of the beam shown in

Figure P3

The beam is in equilibrium. The support reactions are shown, together with the external uniformly distributed load

, applied at the position indicated.

Which of the following correctly represents the

moment equilibrium equation about point B? Take L₁ = 3.5 m, and L₂ = 2.5 m.

Use the sign convention for forces and moments shown in the figure.

Figure P3. Beam free-body diagram

$\sum M_B = 0:\; 6\,A_y - 1.75\,q= 0$ \sum M_B = 0:\; 6\,A_y - 1.75\,q= 0

$\sum M_B = 0:\; -6\,A_y + 2.5\,q= 0$ \sum M_B = 0:\; -6\,A_y + 2.5\,q= 0

$\sum M_B = 0:\; 6\,A_y + 3.125\,q= 0$ \sum M_B = 0:\; 6\,A_y + 3.125\,q= 0

$\sum M_B = 0:\; -6\,A_y + 3.125\,q= 0$ \sum M_B = 0:\; -6\,A_y + 3.125\,q= 0

$\sum M_B = 0:\; -6\,A_y - 3.125\,q= 0$ \sum M_B = 0:\; -6\,A_y - 3.125\,q= 0

$\sum M_B = 0:\; 6\,A_y - 3.5\,q= 0$ \sum M_B = 0:\; 6\,A_y - 3.5\,q= 0

$\sum M_B = 0:\; -6\,A_y + 1.25\,q= 0$ \sum M_B = 0:\; -6\,A_y + 1.25\,q= 0

$\sum M_B = 0:\; -6\,A_y + 6.125\,q= 0$ \sum M_B = 0:\; -6\,A_y + 6.125\,q= 0

View this question

Two workers are assembling the centre pole of a large tent. They use separate tensioned ropes to stabilise the pole, as shown in Figure P2. The workers each apply a force along their ropes, F₁and F₂, respectively, acting at the angles shown in the figure. Assume that the pole is vertical and that both forces act at the same point (A).

For F₁ = 500 N and F₂ = 600 N, determine the magnitude of the resultant force F_R acting on the pole due to the two ropes.

Select the correct answer.

Figure P2. Stabilising rope connection

View this question

Consider the truss shown in Figure P1
. Using the dimensions provided in the figure for AD and AC,
determine the length of member BD
. Express your answer in metres to at least 2 decimal places.

Figure P1. Truss

View this question

Consider the pulley system shown in

Figure P6

The system consists of fixed pulleys at the ceiling and a movable pulley block supporting a mass

An input force T = 800 N is applied to the rope as shown.

Assuming the system is in equilibrium, and that the pulleys and cables are massless and frictionless, determine the mass m that can be supported.

Take gravitational acceleration g = 9.8 m/s².

Select the correct answer.

Figure P6. Rope pulley system

View this question

Figure P7 shows a mass M suspended from a fixed ceiling by two identical verticals springs arranged in parallel. When the mass is attached, the systems comes to rest after undergoing a vertical deflection Δy.

Given:

If
M = 300 kg
Deflection Δy = 0.5 m
Acceleration due to gravity g = 9.8 m/s²

Assuming the system is in static equilibrium, determine the stiffness

kk (in the appropriate units) of ONE spring.

Select the correct answer.

Figure P7. Mass–spring system in static equilibrium

View this question

Figure P8 shows a spring-mass system consisting of multiple linear springs arranged in a combination of series and parallel connections.

The top three springs with stiffness k, 2k, and 3k are connected in parallel to a rigid bar. This bar is then connected to the mass M through two identical springs (each of stiffness k) arranged in series.

Which of the following correctly represents the

equivalent stiffness, k_e

, of the system?

Assume all springs are linear, massless, and deform only in the vertical direction.

Select the correct answer.

Figure P8. Spring and mass system.

View this question

Consider the

roof truss

shown in

Figure P13

All joints are pin-connected. The left and right supports are

both

pin supports.

Determine the

structural classification

of the truss.

Select the correct statement.

Figure P13. Pin-connected truss bridge.

The truss is unstable and indeterminate.

The truss is stable and indeterminate.

The truss is unstable and determinate.

The truss is stable and determinate.

View this question

To receive marks for this question, you must submit a hard copy of your FBD at the end of your test.

Consider the frame shown in Figure P16.

The frame consists of multiple beams welded together. The frame is supported at four locations shown in the figure:

Support A is a pin support.
Support B is a fixed support.
Support C and D are guided roller supports.

Draw the complete free-body diagram (FBD) of the beam using the following parameters:

$x_1 = 20\,\text{m}$ x_1 = 20\,\text{m}, $x_2 = 12\,\text{m}$ x_2 = 12\,\text{m}, $x_3 = 10\,\text{m}$ x_3 = 10\,\text{m}

$y_1 = 6\,\text{m}$ y_1 = 6\,\text{m}, $y_2 = 10\,\text{m}$ y_2 = 10\,\text{m}, $y_3 = 3\,\text{m}$ y_3 = 3\,\text{m}

$F_1 = 20\,\text{kN}$ F_1 = 20\,\text{kN}
$F_2 = 40\,\text{kN}$ F_2 = 40\,\text{kN}
$F_3 = 15\,\text{kN}$ F_3 = 15\,\text{kN}

$w_1 = 3\,\text{kN/m}$ w_1 = 3\,\text{kN/m}

$M_1 = 10\,\text{kN}\cdot\text{m}$ M_1 = 10\,\text{kN}\cdot\text{m}

Instructions

Show all external loads acting on the beam.
Include relevant dimensions shown in the figure.
Label all reaction forces and moments clearly.
Include a clearly defined coordinate system (x and y axes, and moments).

Ensure you use the correct numerical values and units where they are provided.
Do not calculate reactions.
Present distributed loads as correctly labelled distributed loads, i.e., do not present or calculate the equivalent point load.

Use the following sign convention:

Positive
Image failed to load: x
x is to the right.

Positive
Image failed to load: y
y is upward.

Anti-clockwise moments are taken as positive.

Figure P16.

Beam system for free-body diagram construction (not to scale).

View this question

Now consider the cantilever beam shown in Figure P5. The beam is fixed at support A.

A force F₃ is applied at point B and acts in the direction shown. An applied moment M₁ acts at point C as shown, in the direction shown.

F3 = 25 kN and M1 = 70 kNm, determine the magnitude and sign of the reaction moment (M_A) at the fixed support A. Ensure that you use the sign convention for forces and moments shown in the figure (i.e. a counter clockwise moment is considered positive).

Select the correct answer (All answers are in kN·m)

Figure P5. Cantilever beam with applied moment and force.

View this question

Want instant access to all verified answers on learning.monash.edu?

Get Unlimited Answers To Exam Questions - Install Crowdly Extension Now!

Add to Chrome

Telegram Instagram TikTok Question Bank

Crowdly

Course 38579

For F1 = 500 N and F2 = 600 N, determine the magnitude of the resultant force FR acting on the pole due to the two ropes.

Consider the truss shown in Figure P1. Using the dimensions provided in the figure for AD and AC, determine the length of member BD. Express your answer in metres to at least 2 decimal places.

Want instant access to all verified answers on learning.monash.edu?

For F₁ = 500 N and F₂ = 600 N, determine the magnitude of the resultant force F_R acting on the pole due to the two ropes.

Consider the truss shown in Figure P1
. Using the dimensions provided in the figure for AD and AC,
determine the length of member BD
. Express your answer in metres to at least 2 decimal places.